How do I solve this, and how do I know if I need to add or subtract at the beginning

How Do I Solve This, And How Do I Know If I Need To Add Or Subtract At The Beginning

Answers

Answer 1

Let's solve the system of equations using elimination:

4x + 5y = 14

-4x -2y = -8

First, we need to get rid of one variable.

Sometimes we multiply them by some factors to have the same number on one variable, but in this case, we can subtract the x variable

4x +5y =14

-4x-2y = -8

----------------------

4x-4x =0, 5y -2y = 3y and 14-8=6

------------------------------

0+3y = 6

Solve the equation for y

Divide by 3 into both sides

3y/3 = 6/3

y = 2

Then, replace this variable on one equation, whichever you want:

4x + 5y = 14

4x +5(2) = 14

4x +10 = 14

and solve the equation for x

4x +10 = 14

Subtract 10 on both sides

4x +10-10 = 14-10

4x = 4

Divide by 4 into both sides

4x/4 = 4/4

x = 1

You can replace both variables to confirm the results:

4x +5y =14

4(1) +5(2) = 14

4 +10 = 14

14 = 14

---------------------------------

-4x -2y = -8

-4(1) -2(2) = -8

-4-4 = -8

-8 = -8

The result is correct, so my ordered pair is (x,y) = (1,2)


Related Questions

what is zero divided by zero

Answers

The answer is undefined

Answer:

indetermination

Step-by-step explanation:

Hope this helps

HELP ME OUT PLEASE!!!!!!!

What is the solution to the system? ​

Answers

Answer:

(-7, 5) is correct.

Step-by-step explanation:

[tex]2x + 3y = 1[/tex]

[tex] - 2x - y = 9[/tex]

Add these two equations, and then solve for y.

[tex]2y = 10[/tex]

[tex]y = 5[/tex]

Substitute this value of y into 2x + 3y = 1, and solve for x.

[tex]2x + 3(5) = 1[/tex]

[tex]2x + 15 = 1[/tex]

[tex]2x = - 14[/tex]

[tex]x = - 7[/tex]

So (-7, 5) is the correct solution.

2) In reply to an inquiry about the animals on his farm, the farmer says: "I
only ever keep sheep, goats, and horses. In fact, at the moment they are
all sheep bar three, all goats bar four, and all horses bar five." How many
does he have of each animal?

Answers

The number of horse is 1, goat is 2 and sheep is 3 a man has.

The problem we are dealing with is related to the linear equation which is referred to as the algebraic condition where each term has an exponent of 1 and when this condition is graphed, it continuously comes about in a straight line.

Now w consider x to be the number of sheep, y to be the  number of  goats, and z to be the number of horses the man owns.

the actual equation for the total number of animals he owns  is :

x+ y+ z

according to the first condition:

that all sheep bar three, means

y+ z=3

similarly, for the other condition, it will be

x+ z=4   and x+ y=5

Now we adding the three  equations:

y + z +x +z +x +y=5+4 +3

2(x+y+z)=12

x+y+z=6........equation(1)

As x + y = 5

Put this in equation in (1), we get

x+y+z = 6

5 + z = 6

z = 1

x + z = 4

x + y + z = 6

y + 4 = 6

y = 2

Now we know

x + y + z = 6

x + 1 + 1 = 6

x = 4

So simplifying the other equation  we get, that the number of horse is 1, goat is 2, and sheep is 4.

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pls answer the pic below

Answers

The value of the missing angles are; m∠ABC = 36° and m∠DBC = 41°

How to find the missing angles?

We are given that;

m∠ABD = 77°

Addition angle postulate states that the sum of two adjacent angle measures will equal the angle measure of the larger angle that they form together.

Now, by addition angle postulate, we can say that;

m∠ABC + m∠DBC = 77°

Now, we are given that;

m∠ABC = (5x - 4)°

m∠DBC = (5x + 1)°

Thus, by substitution property, we have;

(5x - 4)° + (5x + 1)° = 77

10x - 3 = 77

10x = 77 + 3

10x = 80

x = 8

Thus;

m∠ABC = (5(8) - 4)°

m∠ABC = 36°

m∠DBC = (5(8) + 1)°

m∠DBC = 41°

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A hospital parking lot charges 3.50$ for the first hour and 1.75$ for each additional hour. what is the minimum and the maximum number of hours Jose can park his car at the carage if he can spend between 12.25$ and 19.25

Answers

Jose can park his car for the maximum time of 9 hours and the minimum time of 5 hours.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a hospital parking lot charges 3.50$ for the first hour and 1.75$ for each additional hour.

The modelled equation representing the above scenerio is -

y = 3.5 + 1.75x

where (x) represents the number of hours for which the car is parked.

Maximum amount with Jose = $19.25

Therefore -

3.5 + 1.75x ≤ 19.25

1.75x ≤ 15.75

x ≤ 9 hours       [Maximum time]

Minimum amount with Jose = $12.25

3.5 + 1.75x ≥ 12.25

1.75x ≥ 8.75

x ≥ 5 hours               [Minimum time]

Therefore, Jose can park his car for the maximum time of 9 hours and the minimum time of 5 hours.

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how many meters are in 11.75 millimeters

Answers

ANSWER

0.01175 metres

EXPLANATION

We want to find how many metres are in 11.75 millimetres.

There are 1000 millimeters in 1 meter:

We will simply divide 11.75 milimetres by 1000

1000 millimetres = 1 metre

[tex]11.75\text{ millimetres = }\frac{11.75}{1000}\text{ = 0.01175 metres}[/tex]

It costs $35 per hour to rent a boat at the lake.
You also need to a pay a $25 fee for safety equipment.
You have $200.
How long can you rent the boat?

Answers

Answer:

7 hours

Step-by-step explanation:

25x + 25 = 200.

25x = 175

175/25 = 7.

Answer:

25 + 35h = 200

and

h = 5

(5 hours)

Step-by-step explanation:

you have 200.

costs:

35 per hour

and

25 fee

h will represent the total hours spent renting a boat

25 + 35h = 200

now we will do inverse operations

subtract 25 from both sides

35h = 175

now divide both sides by 35

h = 5

1. Which statement is true? (1 point)
29 20
35
18
34
14
A
A
30
16
32
17
>
21 24
20 28
15
23

Answers

Fraction - A,C,D is the incorrect option that means 18 >17 is the correct option B

What does compare mean in fractions?

Equivalent fractions with the same denominator should be used to compare fractions with different denominators. Comparing fractions: If the denominators are the same, the numerators can be compared. The greater fraction is the one with a larger numerator.

Now, comparing the fraction,

first of all write the fraction in simplest form then cross multiplication.

1.   [tex]\frac{29}{35} < \frac{20}{30}[/tex]

[tex]\frac{29}{35} < \frac{2}{3}[/tex]

87 < 70

This option is wrong.

2.    [tex]\frac{18}{34} > \frac{16}{32}[/tex]

[tex]\frac{9}{17} > \frac{1}{2}[/tex]

18 >17

This option is correct.

3.    [tex]\frac{14}{21} > \frac{17}{24}[/tex]

[tex]\frac{2}{3} > \frac{17}{24}[/tex]

48 > 51

This option is wrong.

4.   [tex]\frac{20}{15} < \frac{28}{23}[/tex]

[tex]\frac{4}{3} < \frac{28}{23}[/tex]

92 < 84

This option is wrong.


Hence, option b is correct.
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What is the logarithm of
6.5

Answers

The logarithm of the number 6.5 is log(6.5) = 0.8129

What is the logarithm of numbers?

This is the number that represents the power by which a fixed number known as the base must be raised to result in another number.

How to evaluate the logarithm of the number?

The number is given as

6.5

The logarithm of the number is then represented as

log(6.5)

There are several ways to calculate the logarithm of the number

Some of which are:

By logarithm tableBy calculator

In this case, the only way is by using a calculator

Using a calculator, we have

log(6.5) = 0.8129

Hence, the logarithm of 6.5 is 0.8129

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Find the critical value (tα/2) for a 95% confidence interval if the sample size is 15. Round your answer to three decimal places.



tα/2 =

Answers

The critical value (tα/2) for a 95% confidence interval for the sample size 15 is 2.009.

We have to find the critical value tα/2 for 95% confidence interval, we are given the sample size.

First we will find the alpha value to get the critical value.

=100%-95%

=1-0.95

=0.05

α=0.05

α/2=0.05/2

α/2=0.025

degrees of freedom(df)= n-1=15-1=14

We will use degrees of freedom and α/2 values to find the critical value that is tα/2.

By using the t table we get the critical value  of tα/2=2.009.

Therefore, the critical value for 95% confidence interval with sample size of 15 is 2.009.

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Assume that a sample is used to estimate a population proportion p. Find the 95% confidence interval for a sample of size 318 with 57% successes. Enter your answer as a tri-linear inequality using decimals (not percents) accurate to three decimal places.

Answers

A population proportion's 95% confidence interval is 0.45416 ≤ P ≤ 0.66584.

Given sample size n is 318, the probability of success,

p = x ÷ n = 181 ÷ 318 = 0.56

A population proportion's 95% confidence interval is calculated as follows:

(p -  [tex]Z_{0.05}[/tex] √(p(1 - p) ÷ n) , p +   [tex]Z_{0.05}[/tex] √(p(1 - p) ÷ n)

(0.56 - 1.96 √ ((0.56(1 - 0.56) ÷ 318) , 0.56 + 1.96 √ ((0.56(1 - 0.56) ÷ 318))

(0.56 - 1.96 × 0.054) , (0.56 + 1.96 × 0.054)

(0.45416 , 0.66584)

95% confidence interval for a population proportion of 0.45416 ≤ P ≤ 0.66584.

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Find the surface area of the net.Enter the correct answer in the box.

Answers

We can divide the given figure into different rectangular faces:

Faces 1 and 3 have the same measure, also 2 and 4, and faces 5 and 6.

Faces 1 and 3 have the following dimensions: L=100cm W=50cm.

Faces 2 and 4 have the following dimensions: L=100cm W=35cm.

Faces 5 and 6 have the following dimensions: L=50cm W=35cm.

The surface area of a rectangular face is given by:

[tex]SA=L*W[/tex]

Thus, the surface areas of the given faces are:

[tex]\begin{gathered} SA_1=100cm*50cm=5000cm^2 \\ SA_3=100cm*50cm=5000cm^2 \\ SA_2=100cm*35cm=3500cm^2 \\ SA_4=100cm*35cm=3500cm^2 \\ SA_5=50cm*35cm=1750cm^2 \\ SA_6=50cm*35cm=1750cm^2 \end{gathered}[/tex]

The surface area of the net is the addition of all of these surface areas:

[tex]\begin{gathered} SA_{net}=(5000+5000+3500+3500+1750+1750)cm^2 \\ SA_{net}=20500cm^2 \end{gathered}[/tex]

find the surface area of the figure in square inches.

Answers

The surface area of a cone is given by the sum of the areas of the lateral surface and the area of the circular base.

The area of the circular base is given by:

[tex]\pi\cdot r^2[/tex]

Where r is the radius of the base.

The area of the lateral surface is given by:

[tex]\pi rs[/tex]

Where s is the length of the slant.

Since s=17 in and the radius is half the diameter, r=8 in, the area of the cone is:

[tex]\begin{gathered} A=\pi rs+\pi r^2 \\ =\pi(8)(17)+\pi(8)^2 \\ =136\pi+64\pi \\ =200\pi \\ =628.3185307\ldots \end{gathered}[/tex]

To the nearest hundredth, the area of the cone in square inches, is:

[tex]628.32[/tex]

Put the following equation of a line into slope-intercept form, simplifying all fractions.
12y-2x=12

Answers

Answer:

y = 1/6x + 1

Step-by-step explanation:

Add 2x to both sides of the equation.

12y = 12 + 2x

Divide each term in 12y = 12 + 2x by 12 and simplify.

y = 1 + x/6

Write in y=mx+b form.

y = 1/6x + 1

define the domain of the following:

Answers

By identifying the first values of each point in the graph, we saw that the domain of the relationship is:

D: {-3, -1, 1, 3, 6}

How to get the domain?

A relation can be defined by a set of points (x, y), where the values of x are the values in the domain and the values of y are the values in the range.

Here we have the graph of a relation, and we can see the points:

(-3, 3)(-1, -1)(1, 2)(3, 0)(6, -2)

The domain of the graphed relationship will be the set of the first values of each of these points, then we can see that the domain is:

D: {-3, -1, 1, 3, 6}

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500/675x9876=? what is the answer ???????????

Answers

Answer:

7315.55

Step-by-step explanation:

just dont be lazy solve it.

Ann is a software salesperson. Her base salary is $1900 and she makes $90 more for every copy of History is Fun she sells. Her total pay, P (in dollars), after
selling e copies is given by the following.

P=1900+90c

Answer the following questions.
(a) What is Ann's total pay if she sells 24 copies?


(b) If Ann's total pay is $4780, how many copies did she sell?
copies

Answers

Answer:

A - $4060

B - 32 copies

Step-by-step explanation:

A -

P = 1900 + 90c

P = 1900 + 90(24)

P = 1900 + 2160

P = 4060

Total if Ann sold 24 copies: $4060

B -

1900 + 90c = 4780

90c = 4780 - 1900

90c = 2880

c = 32

Total copies: 32

JohanVanDeVaseYesterdayMathematicsHigh SchoolTARIFF SYSTEMSQUESTION 1 [13 marks]A shopping mall in Bloemfontein has several parking garages, each with its own tariff system. The table below shows the tariffs on garage A and garage B.(Please show calculation)Parking TariffsNumber of hours (h)0 < h < 11 < h < 22 < h < 44 < h < 66 < h < 7h > 7Garage AFreeR5,50R15,50R30,50R50,50R75,50Garage BR5,00R7,00R11,00R26,00R41,00R61,00Question 1.1 [4 marks]Sellwane works at the shopping mall. She arrives at 7:30 and leaves at 17:00 each day. Which parking garage is cheaper for her to use?Question 1.2 [3 marks]Isaac was having coffee with his friends at a restaurant at the shopping mall. They arrived at the mall at 8:23 and left at 10:53, how much would he pay if he used garage B?Question 1.3 [2 marks]On Monday morning Karabo parked her car in one of the parking garages and paid R26,00. In which garage did she park and for how long?

Answers

Step 1:

Question 1.1

Arrive time = 7:30

Departure time = 17:00

[tex]\text{Total time spent = 17:00 - 7:30 = }9\colon30[/tex]

h (9:30) > 7

Garage B is cheaper

Question 1.2

Arrive time = 8:23

Departure time = 10:53

[tex]\text{Total time spent = 10:53 - 8:23 = 2: 30}[/tex]

The time spent by issac and his friends is between 2 < h < 4

Since h = 2:30

Answer R11.00

Question 1.3

Karabo uses Garage B

Time spent is 4 < h < 6

at what point does the like given by the following equation cross the y axis? y=(-5/7)x+5A.(0,-5/7)B.(5,0)C.(0,5)D.(0.-25/7)

Answers

Given:

Given the equation

[tex]y=-\frac{5}{7}x+5[/tex]

Required: Point at which the equation crosses the y axis.

Explanation:

At y -axis, the value of x is zero. Substitute 0 for x in the equation of y.

[tex]\begin{gathered} y=-\frac{5}{7}\cdot0+5 \\ =0+5 \\ =5 \end{gathered}[/tex]

So, the point at which the equation cross the y-axis is (0, 5).

Final Answer: The point at which the equation cross the y-axis is (0, 5).

hello can you help me solve this plane trigonometry question

Answers

Problem

Solution

For this case we can find the remain angle with this operation:

180 -39-90= 51º

And then we can use the sines law and we can do this:

[tex]\frac{x}{\sin(39)}=\frac{14}{\sin (90)}[/tex]

And solving for x we got:

x= 14*sin(39)/sin (90) = 14*sin 39= 8.81

Need help fast. Please explain how to do it set by step. Thanks.

Answers

A sequence is a series that follows the sum general rule. The sum of the given sequence  ∑(n=1 to 4) [tex]u_{n}[/tex] is {u₁ + u₂ + u₃ + u₄ + u₅}.

What is a series?

A sequence's series is the total number of terms in the sequence.

A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.

As per the given series,  ∑(n=1 to 4) [tex]u_{n}[/tex]

The sign ∑ is used to sum the terms of the series in the given interval.

Given that n = 1 to 4

Substiute n = 1 into  [tex]u_{n}[/tex] ⇒ u₁

Substiute n = 2 into  [tex]u_{n}[/tex] ⇒ u₂

Substiute n = 3 into  [tex]u_{n}[/tex] ⇒ u₃

Substiute n = 4 into  [tex]u_{n}[/tex] ⇒ u₄

So, the sum is {u₁ + u₂ + u₃ + u₄ + u₅}.

Hence "A sequence is a series that follows the sum general rule. The sum of the given sequence  ∑(n=1 to 4)".

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A quiz consists of seven multiple choicequestions. Each question has four choices.A student who forgot to study guessesrandomly on every question. What is theprobability that the student answersexactly five questions correctly?

Answers

Solution

- The probability of him getting 1 queston correctly given tahat there is only one correct option out of 4 optins,

[tex]\begin{gathered} P(correct)=\frac{1}{4} \\ \\ P(incorrect)=1-P(correct) \\ P(incorrect)=1-\frac{1}{4}=\frac{3}{4} \end{gathered}[/tex]

- Since here are questions, it implies that there are multiplye trials the student has.

Atoms can’t ever be _ or _ in a chemical reaction. the atoms must always be _ each side of the equation

Answers

In a chemical reaction, atoms are neither CREATED nor DESTRUCTED. According to science, each side of the equation must contain the SAME amount of atoms.

You must place COEFFICIENTS in front of the chemical formulas in the equation in order to make it equal.

What does a chemical reaction always involve?

Only atoms from the reactants can end up in the products of a chemical reaction. No atoms are destroyed or made into new ones. When reactants come into touch with one another, the bonds between their atoms are broken, and the atoms then reorganize and form new bonds to create the products.

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A rectangular calendar is hanging on a wall. The diagram below shows several dimensions of the wall and the calendar.Based on the diagram, determine the distance that the top edge of the calendar is from the ceiling, and explain your reasoning.

Answers

SOLUTION

We want to find the distance that the top edge of the calendar is from the ceiling.

The diagram below will help us

From the diagram above x is the distance we want to find

We can see that the entire wall is 9 ft long,

Distance from the foot of the calender to the floor is 5 1/4 ft and

Halve of the calendar is 2/3 ft

So the whole calendar is

[tex]\begin{gathered} 2\times\frac{2}{3} \\ =\frac{4}{3}\text{ ft } \end{gathered}[/tex]

So, to find x, we will add length of the calendar which is 4/3 ft to distance from the foot of the calender to the floor which is 5 1/4 ft and subtract this from height of the wall which is 9 ft

We have

[tex]\begin{gathered} 9-(\frac{4}{3}+5\frac{1}{4}) \\ 9-(\frac{4}{3}+\frac{21}{4}) \\ 9-(\frac{16+63}{12}) \\ 9-\frac{79}{12} \\ =\frac{108-79}{12} \\ =\frac{29}{12} \\ =2\frac{5}{12} \end{gathered}[/tex]

Hence the answer is

[tex]2\frac{5}{12}\text{ ft}[/tex]

Identify the translation of the vertices P (-4, -5), L (1, -7), and K (-9, 8), along the vector , <-6 , 3 >.

Answers

Given:

The vertices are P (-4, -5), L (1, -7), and K (-9, 8).

The vector is < -6,3 >.

Aim:

We need to find the image of the vertices when translating given vertices along the vector.

Explanation:

The translation vector <-6,3> means each point is being moved 6 units to the left and 3 units up.

For each vertex, we subtract 6 from each x value and add 3 to each y value.

[tex]P^{\prime}(-4-6,-5+3)=P^{\prime}(-10,-2)[/tex][tex]L^{\prime}(1-6,-7+3)=L^{\prime}(-5,-4)[/tex][tex]K^{\prime}(-9-6,8+3)=K^{\prime}(-15,11)[/tex]

Final answer:

[tex]P^{\prime}(-10,-2)[/tex]

[tex]L^{\prime}(-5,-4)[/tex]

[tex]K^{\prime}(-15,11)[/tex]

Translate the following equation into a verbal sentence. 5(x + 4) = x - y

Answers

Answer:

Five times the quantity x plus four equals x minus y.

Step-by-step explanation:

Probably the most confusing part is that parenthesis are pronounced "the quantity"

Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find the probability distribution given the probability p = 0.82 of success on a single trial.

Answers

Answers in bold

[tex]\begin{array}{|c|c|} \cline{1-2}k & P(X = k)\\\cline{1-2}0 & \boldsymbol{0}\\\cline{1-2}1 & \boldsymbol{0}\\\cline{1-2}2 & \boldsymbol{0.04}\\\cline{1-2}3 & \boldsymbol{0.18}\\\cline{1-2}4 & \boldsymbol{0.41}\\\cline{1-2}5 & \boldsymbol{0.37}\\\cline{1-2}\end{array}[/tex]

Note: The P(x) values for k = 0 and k = 1 are not actually zero, but they are small enough that they round to 0 when rounding to two decimal places.

=======================================================

Explanation:

I used a spreadsheet to compute the values in bold.

The specific command is called BINOMDIST

The template is BINOMDIST(k,n,p,0)

k = value from the tablen = 5p = 0.82The 0 at the end tells us to use a binomial PDF and not CDF

Let me know if you have any questions about how to use that function in a spreadsheet.

Also, I used the function called ROUND to round each value to 2 decimal places.

Example calculation

=ROUND(BINOMDIST(4,5,0.82,0),2)

This calculates the result of 0.41 and it corresponds to the value k = 4

Don't forget about the equal sign up front when computing these commands in the spreadsheet. Otherwise, it'll stay as text form.

-------------------

If you want to use a TI83 or TI84 calculator, then press the button labeled "2nd". Then press the button labeled "VARS". Scroll down until you reach "binompdf".

The template is binompdf(n,p,k)

So for example, type in binompdf(5,0.82,4) to get the P(X) value for k = 4

If you aren't able to access a spreadsheet or a TI83/84 calculator, then search out "binomial distribution calculator" and there are plenty of free ones to pick from.

In my opinion, a spreadsheet is the best option since the given data is already in tabular form. Also, many real world situations and careers use spreadsheets everyday.

a) The perimeter is ____. Include units.b) The area is ___. include units.Another question is: Fully Simplify the following equation: (3x + 7) (5x^2 + 4x +9)

Answers

Answer:

The perimeter is 54 inches

The area is 108 square inches

Explanation:

The perimeter of the triangle is:

15 in + 15 in + 24 in

= 54 in

The area is:

(1/2)(24)(9)

= 108 sq. in

This year for Spring break you are taking a solo trip to an exotic destination. You are deciding between two destinations: Bali, Indonesia, and Paris, France. You want to choose the destination that will give you the best value for your money.The table below shows the cost to travel to each destination Flight Hotel (pernight)Bali $967 $58Paris $534 $2551. Create an equation for each destination to represent cost, C to travel to that location based on n Number of nights.

Answers

Let n represent the number of nights

Cost to travel to Bali:

[tex]C\text{ = 967 + 58n}[/tex]

The cost of flight is constant so we simply add it to the cost of hostel per night times the number of nights

Cost to travel to Paris:

[tex]C\text{ = 534 + 255n}[/tex]

Find the midpoint M of the line segment joining the points

Answers

Given,

The coordinates of the points is,

[tex](-4,5)\text{ and \lparen2,-1\rparen}[/tex]

The coordinates of the mid point is:

[tex]\begin{gathered} Consider,\text{ x and y are the coordinates of the midpoint} \\ x=\frac{-4+2}{2}=-\frac{2}{2}=-1 \\ y=\frac{5-1}{2}=\frac{4}{2}=2 \\ \end{gathered}[/tex]

Hence, the mid point of the line segment is (-1,2).

Other Questions
Kali just started a new sales floor job to save for college. She earns 15.75 plus a flat fee of 50 . She wants to earn between 200 and 400 . The following inequality represents her earning potential 200 15.75x + 50 400 Solve the inequality PLEASE HELP ASAP!! Two trains leave the same station at the same time, one traveling west at a constant speed of 60 miles per hour, the other traveling south at a constant speed of 80 miles per hour. After how long are the two trains exactly 300 miles apart? 3) Factories A and B produced potato chips. Last year, each factoringredient. Factory A reported their amounts in scientific netheir amounts in standard form.Ingredient Factory A (amount used in lbs) Factory BPotato4.87 1065.61102.87 10a) Which factory used more oil last year? By how much'OilSalt b) what is the total amount of salt use by both factories? c) what is the total weight of all of the ingredients in Factory A? 8. A car costs $10,500, and you're offered a loan that requires $800 down and a monthly payment of $187.53 for 60 months, how much will you pay in interest? Round your answer to the nearest dollar.$ Scientists discovered a rock formation in the mountains thatcontains some amount of Uranium-235. Upon further testing youlearn that the rock is composed of 25% Uranium-235. Knowing thatthe rock is 1.426 billion years old, how long is the half-life ofUranium-235? 4) Write the coordinates of the vertices after a translation 4 units left and 2 units down.-10 -8 -6-42>1048672T2-4-6IN24610U One month Tony rented 5 movies and 3 video games for a total of $32. The next month he rented 2 movies and 12 video games for a total of $83. Find therental cost for each movie and each video game.Rental cost for each movie:Rental cost for each video game: What are the similarities between DNA and RNA molecules?A. A double stranded helix, a phosphate group, and a hexose sugarB. A nitrogenous base, a phosphate group, and a pentose sugarC. A nitrogenous base, an amino acid, and a pentose sugarD. A single stranded helix, a phosphate group, and a pentose sugar The experimental of spinning a 1 or a 3 is _? A rectangular loop of wire with a cross-sectional area of 2.936 m2 carries a current of 6.488 A. The loop is free to rotate about an axis that is perpendicular to a uniform magnetic field strength of 1.108 T. The plane of the loop is initially at an angle of 59.914o to the direction of the magnetic field. What is the magnitude of the torque on the loop ? Write the equation of a line perpendicular to 8x-3y=-4 that passes through the point (-8,2). an example of a public record is group of answer choices a deed to a house a birth certificate a record of a criminal conviction a marriage license all of the answers listed What is one criticism of the drive-reduction theory?Question 12 options:It doesnt account for a persons need for love and acceptance.It explains too little about a persons spiritual needs.It doesnt explain why a persons behavior increases discomfort.It doesnt put enough emphasis on mental images. 9. Which phrase best describes the translation from the graph y = (x - 2)2 to the graph of y=x-3? O2 units left and 3 units up O2 units left and 3 units down O 2 units right and 3 units up O 2 units right and 3 units down Which requires more work to do, using a force to lift a 50 kg. rock, 2 meters or lifting a 25 kg. rock, 4 meters? (1 kilogram=10 newtons) What is an important river for cultural and religious diffusion in India? help meeeeeeeeeeeeeeeeeee pleaseeeeeeeee!!! Convert each slope-intercept or point slope equation into standard form.y - 3 = 1/5(x + 6) john hus was the son of poor parents, yet through public school and serving others, he was able to learn through diligence and hard work. he was appointed as when he was twenty-four years old. with to proses lead to a cloud formation cooling and condensingwarming and condensingcooling and evaporatingwarming and evaporatingor coolind and condensing