Determine the values of m and if the straight line y = mx + c passes through the point (3, 5) and has a gradient -4 .

Answers

Answer 1

Answer:

y = -4x + 17

Step-by-step explanation:

y = -4x + b

5 = -4(3) + b

5 = -12 + b

17 = b


Related Questions

What is the degree of the following polynomial? 11x ^ 5 * y - 7x ^ 4 * y - 2y

Answers

the degree of the following polynomial : (6)

The correct answer to your question is the degree is (6)

In your English class you are given a list of 12 books you want to choose three books to read over the summer how many groups of three books are available from the list of 12

Answers

Answer:

there are 4 groups of 3

Step-by-step explanation:

12 ÷ 3 = 4

answer : 4

Step-by-step explanation:

12 = 3 + 3 + 3 + 3 there are 4 groups of 3

Identify each situation as a permutation or a combination.

1. choosing friends to invite to a party

2. choosing your top 10 favorite actors

Answers

Answer:

1. Combination

2. Permutation

Step-by-step explanation:

Permutations occur in cases where the order of something changes the arrangement (e.g. Choosing letters of a password). Combinations occur when the order of something does not matter (e.g. choosing three donut flavors).

1. Since the order of which you choose and invite your friends does not change who you've invited, this is a combination (order does not matter).

2. When ranking a top-10 list, the order of your ranking affects the ranking itself and makes a difference (order matters). Therefore, this situation is a permutation.

Calculate the length of side WX:

Answers

Answer:

WX = 38

Step-by-step explanation:

To get this, we are gong to use the cosine rule

We have the general form as;

a^2 = b^2 + c^2 - 2bc Cos A

Let WX be a

a^2 = 17^2 + 26^2 -2(17)(26) cos 123

a^2 = 1446.46

a = √1446.46

a = 38.03

Which of the following is an arithmetic sequence?
O A. 5, -5, 5, -5, ...
O B. 3, 0, -3, -6, ...
O C. 2, 3, 7, 1, ..
O D. 2, 4, 16, 32, ...

Answers

Answer:

B

Step-by-step explanation:

In an artihmetic sequence, there is a constant difference between two consecutive terms.

So for instance:

[tex]-6 -(-3) = -3[/tex]

[tex]-3 -0 = -3[/tex]

[tex]0 - 3 = -3[/tex]

As you can see there is a difference of [tex]-3[/tex] from one term to the next

____________________________

You can also find the constant difference the other way around, for instance

[tex]3-0=3[/tex]

[tex]0-(-3) = 3[/tex]

[tex]-3-(-6) = 3[/tex]

In this example, you can see that each term is [tex]3[/tex] higher than the previous term

I hope this helps!!

The circumference of a circle can be found using the formula C = 2r.

Which is an equivalent equation solved for r?

r = C
r = C(2)
r = r equals StartFraction C Over 2 pi EndFraction.
r = r equals StartFraction 2 pi Over C EndFraction.

Answers

Answer:

r = C/(2π)

Step-by-step explanation:

C = 2πr

Divide both sides by 2π

C/(2π) = r

r = C/(2π)

Given that the circumference of a circle, its radius r becomes r = C/2π.

Option C) r equals StartFraction C Over 2 pi EndFraction is the correct answer.

What is a circle?

A circle is simply a closed 2-dimensional curved shape with no corners or edges. The total length of the boundary of a circle is referred to as a circumference. It is expressed as;

C = 2πr

Where r is radius and π is constant pi ( π = 3.14 )

Now, if the circumference C = 2πr, lets make radius r the subject of the formula.

C = 2πr

Divide both sides by 2π

C/2π = 2πr/2π

C/2π = r

r = C/2π

Given that the circumference of a circle, its radius r becomes r = C/2π.

Option C) r = start fraction C over 2 pi end fraction is the correct answer.

Learn more about circles here: brainly.com/question/11952845

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What is the area of the triangle below?
3 18
A. 27 sq. units
B. 18 sq. units
C. 21 sq. units
D. 54 sq. units

Helppppp ASAP please

Answers

Answer:

A. 27 sq. units

Step-by-step explanation:

A = 1/2 · b · h

A = 1/2 · 3 · 18

A = 1/2 · 54

A = 27 sq. units

Answer:A-27

Step-by-step explanation:

A=1/2 18*3=27

-42+(-17) simplified

Answers

Answer:

La respuesta es

Step-by-step explanation:

-42+(-17)=. - 59

Espero ayudarte suerte

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

-59  

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the Expression}}\\\\-42+(-17)\\------------\\\rightarrow -42 +1(-17)\\\\\rightarrow -42 -17\\\\\rightarrow\boxed{-59}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Solve for xxx. Enter the solutions from least to greatest. Round to two decimal places. (x + 8)^2 - 2 = 0

Answers

Answer:

55

Step-by-step explanation:

The values of the x are -6.59, and -9.42 if the  quadratic equation is (x + 8)² - 2 = 0.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

The complete question is:

Solve for x.

Enter the solutions from least to greatest. Round to two decimal places.

(x + 8)² - 2 = 0

It is given:

(x + 8)² - 2 = 0

Using (a + b)² = a² + 2ab + b²

x² + 16x + 64 - 2 = 0

x² + 16x + 62  = 0

Compare with the standard form of the equation:

a = 1

b = 16

c = 62

Plug the above values in the formula:

[tex]\rm x = \dfrac{-16 \pm\sqrt{16^2-4(1)(62)}}{2(1)}[/tex]

x = [-16 ±√8]/2

x = [-16 ±2.83]/2

Take + sign:

x = [-16 + 2.83]/2

x = -6.59

Take - sign:

x = [-16 - 2.83]/2

x = -9.42

Thus, the values of the x are -9.42, and -6.59 if the  quadratic equation is (x + 8)² - 2 = 0.

Learn more about quadratic equations here:

brainly.com/question/2263981

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The table below shows the typical hours worked by employees at a company. A salaried employee makes $50,000 per year. Hourly employees get paid $20 per hour, but get $30 per hour for each hour over 40 hours.
Sun.
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
0
8
8
9
9.5
7.5
4

Answers

b) Hourly pay. Hourly employees make more per week than salaried employees

7. Lin is saving $300 per year in an account that pays 15% interest per year,
compounded annually. About how much money will she have 20 years after she
started?
A. $545.45
B. $3,748.78
C. $9,411.43
D. $1,124,634,54

Answers

Answer:

c

Step-by-step explanation:

to much working out but just as a summary section of working out

3*15=45

300+45=$345(1st year)

345+300=645

6.45*15=96.75

645+96.75=$741.75(2nd year)

keep on doing that until you beat 2 in list and use common sense to realise that (d) is too big, and (b, a) is too small so (c) is the correct amount. (this is quicker than actually doing all 20 years)

The total money with Lin after 20 years will be $4910.   

What is the formula to calculate compound interest?

The formula for compound interest -

[tex]$A = P(1 + \frac{r}{n}) ^{nt}[/tex]

Given is that Lin is saving $300 per year in an account that pays 15% interest per year, compounded annually.

We can write the total money with Lin after 20 years as -

[tex]$A = P(1 + \frac{r}{n}) ^{nt}[/tex]

A = 300(1 + 0.15/1)²⁰

A = 300(1 + 0.15)²⁰

A = 300 x (1.15)²⁰

A = 300 x 16.37

A = 4910

Therefore, the total money with Lin after 20 years will be $4910.   

To solve more questions on compound interest, visit the link below -

https://brainly.com/question/29134153

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Find the sum
1/(1x3) + 1/(2x4) + 1/(3x5) + .... + 1/(98x100)

Answers

Answer:

Step-by-step explanation:

What is the area of this trapezium

Answers

Answer:

66.5cm²

Step-by-step explanation:

Area of trapezium = [tex]\frac{1}{2}[/tex] (sum of parallel sides) × height

Let parallel side 1 = 12cm

parallel side 2 = 7cm

height = 7cm

Area = [tex]\frac{12 + 7}{2}[/tex] × 7 = 66.5cm²

What is the remainder when 19x^2 +14x +12 is divided by x-2?

Answers

Answer:

116

Step-by-step explanation:

x-2 take -2 to the other side which will be +2 thus sub +2 into the quotient and calculate


If a = 3 inches and c= 5 inches, what is the measure of b?
2 inches
3 inches
4 inches
8 inches

Answers

B is 4 inches i think

hope that helps

Please I need help with this math homework ASAP thank you!

Answers

Answer:

4

[tex] \sqrt{4} = 2 \\ \\ \sqrt{2} \times \sqrt{8 } = \sqrt{16} \\ \\ \sqrt{16} = 4[/tex]

Calculate the length of side AC:

Answers

Answer:

146⁰ + x = 180

x = 34⁰ is AC ..a..a.

Let △ABC be a right triangle with m∠C = 90°. Given tan ∠A = 0.25, find tan ∠B.

Answers

Answer:  4

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

Rule:

If A+B = 90, then tan(A) = 1/( tan(B) ) and tan(B) = 1/( tan(A) )

-------

Since C = 90, this must mean the other two angles A and B are acute and complementary. So A+B = 90 must be the case. This allows us to use that rule above.

So,

tan(B) = 1/( tan(A) )

tan(B) = 1/( 0.25 )

tan(B) = 4

-------

Here's another way to think about it.

If tan(A) = 0.25, then we could have BC = 1 and AC = 4 as the opposite and adjacent sides respectively. That leads to tan(A) = opposite/adjacent = BC/AC = 1/4 = 0.25

When computing tan(B), the BC and AC sides swap roles in terms of opposite and adjacent,

tan(B) = opposite/adjacent = AC/BC = 4/1 = 4.

For any of these cases, we don't involve the hypotenuse AB.


A person 5.5ft tall casts a shadow that is 6ft long. At the same time of day a
lamppost cast an 18ft shadow. How tall is the lampost?
17.5 feet
16.5 feet
1.83 fee
15,5 feet

Answers

16.5

(5.5/6)x18
By figuring out how tall 1 foot of shadow gives, you can then multiply it by 18 to get the lamppost height.

the probabilities of having 0,1,2,3, or 4 people waiting in line at a grocery store are shown in the probability distribution below. what is the expected number of people waiting in line, rounded to the nearest tenth?

Answers

Answer:

1.4

Step-by-step explanation:

Given the probability distribution :

X _____ 0 ____1 ____ 2 ____ 3 ____4

P(x) _ 0.16 _ 0.41 _ 0.32 __ 0.09 __ 0.02

Expected number of people waiting in line :

E(X) = Σ(x * p(x))

E(X) = (0*0.16) + (1*0.41) + (2*0.32) + (3*0.09) + (4*0.02)

E(X) = 1.4

Answer:

1.4

Step-by-step explanation:

A trapezoid has 21 inches base and 5.3 inches base, as well as 39 inches height. What is the area?

Answers

Answer:

It is 512.85

Step-by-step explanation:

A = [tex]\frac{a+b}{2}[/tex]h = [tex]\frac{21 + 5.3}{2}[/tex].39 = 512.85

It is 512.85

21*5.3*39=512.85

Which represents the table ?

Answers

Answer:

b

Step-by-step explanation:

dfghdfhjdfjdfj

Will give as the best answer

Answers

The answer is B: (x-3)^4

Mrs. Smith wants to purchase table pads for her circular dining room table. If the table has a diameter of 3 feet and the pads cost 50 cents per square foot, approximately how much will the table pads cost? Use 3.14 for

Answers

Answer:3.53

Step-by-step explanation:

I found it on a quiz game got it right

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.12. The probability that it will not rain and the flight will leave on time is 0.87. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.​

Answers

Answer:

it would be 0.7 got it right when i done it

Step-by-step explanation:

Answer: real answer is 0.278

Step-by-step explanation:

From the given figure,write the corresponding angle of puv​

Answers

Answer: RVN

Step-by-step explanation:

Corresponding angles are angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

By that - the bottom angle RVN can be an example of corresponding angles.

Please give brainliest!

Answer:

∠ RVN

Step-by-step explanation:

∠ PUV and ∠ RVN are corresponding angles.

Each is in the same position (lower left hand corner ) in its group of 4 angles.

which function is graphed?

Answers

Step-by-step explanation:

hello it's B)

v ::::: ok

.

.

.

.

.v:

It’s B :) Good luck!

Carrie is comparing the growth of plants under natural and artificial light sources.

Part A

Use the measures of center from the box plots to make an inference about the data.

Part B

Use the box plots to make an inference using the variability of the data.

Answers

Answer:

Median :

P = 2 ; Q = 3.5

Variability :

P = 1.5 ; Q = 1.5

Step-by-step explanation:

The measure of center we can infer from the box plot is the median, which is the point marked by the vertical line in between the box ;

For Group P:

Median = 2 inches

For Group Q :

Median = 3.5 inches

To infer the variability :

We calculate the interquartile range (IQR) :

IQR = Q3 - Q1

Q3 = Upper quartile (end point of box) ; Q1 = lower quartile (start point of box) in the plot

Locate QI and Q3

Group P:

IQR = Q3 - Q1 = 3 - 1.5 = 1.5

Group Q :

IQR = Q3 - Q1 = 4.5 - 3 = 1.5

A rectangular balcony has an area of 28 square meters. Its perimeter is 22 meters. What are the
dimensions of the balcony?
A) 7 meters by 4 meters
B) 14 meters by 2 meters
C) 11 meters by 2 meters
D) 10 meters by 1 meter

Answers

ANSWER: A) 7 meters by 4 meters
EXPLANATION:
We know that the area of the rectangular balcony is 28 square meters, so lets check if our dimensions match the area:

7 meters • 4 meters = 28 square meters (correct)

So lets check the perimeter: 2 (l + w)
2 ( 7 + 4 ) = 22 meters

HOPE THIS HELPS
-SpaceMarsh

(-26)x(-41)
evaluate the following equation.
help me please

Answers

Answer:

[tex]1066[/tex]

Step-by-step explanation:

[tex]( - 26) \times ( - 41)[/tex]

[tex]26 - 41[/tex]

[tex]1066[/tex]

Hope it is helpful....
(-26)x(-41)
=1066

hope this helped!
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