Two numbers are 10 units away in different directions from their midpoint, m, on a number line. The product of the numbers is –99.

Which equation can be used to find m, the midpoint of the two numbers?

(m – 5)(m + 5) = 99
(m – 10)(m + 10) = 99
m2 – 25 = –99
m2 – 100 = –99

Answers

Answer 1

Answer:

[tex]m {}^{2} - 100 = - 99[/tex]

Step-by-step explanation:

Set up the binomial.

[tex](m - 10)[/tex]

[tex](m + 10)[/tex]

Multiply the binomial.

[tex](m - 10)(m + 10) = - 99[/tex]

Apply difference of squares rule

[tex](p + q)(p - q) = p {}^{2} - q {}^{2} [/tex]

[tex]m {}^{2} - 100 = - 99[/tex]

Answer 2

Answer: m^2-100=-99

Step-by-step explanation:

Set up the binomial.

(m-10)

(m+10)

Multiply the binomial.

(m-10)(m+10)=-99

Apply difference of squares rule

(p+q)(p-q) = p2-q2

Answer: m^2-100=-99


Related Questions

The population of a town is 1000. This is 125% of the population four years
ago. What was the population four years ago?

NO LINK

Answers

Answer:

800

Step-by-step explanation:

I think it is 1000/1.25 0r 800

Answer:

800

Step-by-step explanation:

Solve 3|x - 61 = 12.

Answers

Last option
-2 is ur answer

Solve for x. Round to the nearest tenth of
a degree, if necessary.

Answers

Answer:

x = 60.6

Step-by-step explanation:

tan x = opp/adj

tan x = 3.9/2.2

x = tan^-1 3.9/2.2

x = 60.6

What is the slope of a line perpendicular to the line containing the points (4,-7) and (-5,-1)? Express your answer as a common fraction.

40 POINTS!!!!!!

if not right i report

Answers

Answer:

3/2

Step-by-step explanation:

Slope 1 = (-1+7)/(-5-4) = 6/(-9) = -2/3

Slope 2 perpendicular to Slope 1 :

-1 ÷ -⅔ = 3/2

Solve x2+y3 = 1 for x.

Answers

Answer:

x = 3 + 2y

Step-by-step explanation:

x - 2y = 3 ( Isolate x on the left side by adding 2y to both sides )

x = 3 + 2y

Step-by-step explanation:

Step 1: Add -y^3 to both sides.

y3+x2+−y3=1+−y3

x2=−y3+1

Step 2: Take square root.

x=√−y3+1 or x=−√−y3+1

Answer:

x=√−y3+1  or  x=−√−y3+1

(I think this is right) (tell me if im right plz and thx)

is y=2x an inverse variation

Answers

Answer:

ha ha ha... yesno

Step-by-step wrong explanation:

becoause it is the dilemma of the miniyamma

y=2x is a direct variation. For example, doubling the value of x will double the value of y.

Therefore, it is not an inverse variation.

if f(x) =g(x) + 10 and g(x) = 3(x) - 18

Answers

Step-by-step explanation:

This is called a nested function. Remember, math is a language.

We define a function where x is whatever we want it to be, f(x) = g(x) +10

but we have yet another function inside and itvs defined as g(x) = 3x - 18

if we were to write it out, it woukd be

f(x) = (3x - 18) + 10

A. John wants to find the average time it takes students to run a lap around the track. He will consider 24 students to find the average time. Which unit(s) could be used for the unit of measurement?
1. Pounds
2. Seconds
3. Ounces
4. Minutes
5. Grams

B. Which of the procedures below would be the best way to find the average time?
1. Ask for 24 volunteers to run a lap around the track and have them state their own times.
2. Measure the times of 24 volunteers who run a lap around the track.
3. Randomly pick 24 students to run a lap around the track and measure their times.
4. Randomly pick 24 students to run a lap around the track and have them state their own times. ​

Answers

Answer:

A) 2. Seconds

4. Minutes

B) 2. Measure the times of 24 volunteers who run a lap around the track.

3. Randomly pick 24 students to run a lap around the track and measure their times.

Step-by-step explanation:

A. The unit(s) that could be used for the unit of measurement are the units used to measure time and the correct answer according to the options given above is seconds and minutes.

B. Which of the procedures below would be the best way to find the average time?

2. Measure the times of 24 volunteers who run a lap around the track.

3. Randomly pick 24 students to run a lap around the track and measure their times.

50% of the trees are fruit trees .this means that?

Answers

Answer:

Half of the trees are not fruit trees

Answer:

It means that half of the trees are fruits while the other half sprouts vegetables.

Step-by-step explanation:

100% (trees) / 2 (types of trees, in this case, fruits and vegetables) = 50% (fruit trees) : 50% (vegetable trees)

Please help!!!! Anyone!!

Answers

9514 1404 393

Answer:

  g(x) = |x -7|

Step-by-step explanation:

The form given for your answer has parameters 'a', 'h', and 'k'. The parameter 'a' is the vertical scale factor. Since g(x) is a translation only, that factor is 1. The parameters (h, k) identify the translation (right, up). The translation is 7 units right and 0 units up, so (h, k) = (7, 0).

Filling in these values of the parameters, your g(x) is ...

  g(x) = |x -7|

use the substitution method to solve the system of equations. enter your answer as an ordered pair.AP3X
4(x+4)=8(y+2)

18y-22=3x+2


a.(12,6)

b.(4,2)

c.(8,10)

d.(4,8)

e.(6,1/2)

Answers

Answer:

b. x=4 and y= 2

...........

A box with a square base and open top must have a volume of 97556 c m 3 cm3 . We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x x , the length of one side of the square base. [Hint: use the volume formula to express the height of the box in terms of x x .] Simplify your formula as much as possible.

Answers

Answer:

S(x)  =  x²  +  390224/x

Step-by-step explanation:

Volume of the open box  =   V  = 97556 cm³

Material needed:

Let´s call x the side of the square base then  the  area of the base is

A(b) = x²

For the sides of the box, we have 4 sides each one with area of x*h

where h is the height of the box

The volume of the box    V(b) = 97556 = x²*h   then    h  =  97556/x²

S(x,h) = x²  +  4*x*h*

The surface area of the box as function of x is:

S(x)  =  x²  + 4*x*97556/x²

S(x)  =  x²  +  390224/x

Ariana invested $400 in an account paying an interest rate of 3.8% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 11 years?

Answers

$54970

11 years = 132 months so the balance will compound 132 times.
Adding 3.8% is the same as multiplying by 1.038
400 x 1.038^132 = 54968.09

Of course the 3.8% interest per month is an effective rate of 56.4% per annum
Ariana should have invested a lot more at this amazing rate of interest.

A more reasonable question would have said the annual rate of 3.8% was compounding monthly
3.8% pa = 0.31666...% per month
400 x 1.0031667^132 = $607.17
Depending on the level of your course this answer makes more sense

Name the property : (-1/2) x [(-3/4) + 4/7] = (-1/2) x (-3/5) + (-1/2) x (4/7) ​

answer fast

Answers

Answer:

this is a DISTRIBUTIVE property

How to find the angle ? Help pls

Answers

Answer:

I got :

Angle theta = 7.1° (approximately)

Step-by-step explanation:

see attached photo

Step-by-step explanation:

The angle of an equilateral triangle is 180°, and its three internal angles are equal, all being 60°.

A circle has an area 20 cm2. It is enlarged three times. What is the area of the enlarged circle?

Answers

Answer:

A = 60 cm²

Step-by-step explanation:

Given that,

The area of a circle, A = 20 cm²

It is enlarged 3 times.

We need to find the area of the enlarged circle.

Area of the enlarged circle,

A = 20×3

= 60 cm²

So, the area of the enlarged circle is equal to 60 cm².

If RT is 10 centimeters long, what is ST?

Answers

Answer:

Answer: a

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

First, find x

RT = 2x + 3x

10 = 2x+3x

10 = 5x

10/5 = 2

Now place 2 in place of x in the line ST

ST = 3x

ST = 3 * 2

ST = 6

1. 45 is what percent of 82?
2. What percent of 5 is 26?
3. 22% of what number is 84?
Answer This Question In A Row.

Answers

Answer:

45 is 54.9 percent of 82.

26 is 520% of 5.

84 is 22% of 381.8.

Emelyn is comparing the rates of two different gardening companies for her camp site. The table below shows the rates for Log Edge Landscaping. Log Edge Landscaping Hours Worked 1.5 3 3.5 4.5 Total Cost $26 $44 $50 $62 The equation below represents the rates for Gatewood Gardening Services, where x represents the hours worked and y represents the total cost, in dollars. Compare the rates of both companies, and graph the relationship that represents the cost for the company with a greater rate of change.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Edge Landscaping:

[tex]\begin{array}{cc}{Hours} & {Total} & {1.5} & {\$26} & {3} & {\$44} & {3.5} & {\$50} & {4.5} & {\$62} \ \end{array}[/tex]

The rates (m) of the above table is calculated using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the table, we have the following points

[tex](x_1,y_1) = (1.5,26)[/tex]

[tex](x_1,y_1) = (4.5,62)[/tex]

So, the rate is:

[tex]m = \frac{62 - 26}{4.5 - 1.5}[/tex]

[tex]m = \frac{36}{3.0}[/tex]

[tex]m = 12.0[/tex]

This means that the rate of edge landscaping is $12.0 per hour

The equation for Gatewood is not given. Hence, the rate cannot be calculated. However, the general procedure of calculating rates from a linear equation is as follows;

A linear equation is of the form:

[tex]y = mx + b[/tex]

Where:

[tex]m \to slope\ or\ rates[/tex]

In other words, if the equation is:

[tex]y = 20x + 5[/tex]

Then the rate is: 20 ($20/hour)

If the equation is: [tex]y = 10x + 5[/tex]

Then the rate is 10 ($10/hr)

Next, is to compare the rates;

For Edge landscaping, we have:

[tex]m = 12.0[/tex]

For Gatewood, we have:

[tex]m = 10[/tex] ------------ assume the equation is: [tex]y = 10x + 5[/tex]

Compare the rates:

[tex]12 > 10[/tex]

Hence, Edge landscaping has a greater hourly rate

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
6
4
B
х
.
O x-4
O x-2

Answers

Answer:

Step-by-step explanation:

x+2

A factor of the polynomial function f(x) graphed on the coordinate plane below is,

⇒ x + 2

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The polynomial function f(x) graphed on the coordinate plane below.

Now, We have;

The vertex of the function is,

⇒ x = - 2

⇒ x + 2

Thus, A factor of the polynomial function f(x) graphed on the coordinate plane below is,

⇒ x + 2

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Nelda drove 315 kilometers and used 35 liters of gasoline. Her car averaged how many kilometers per liter of gas?​

Answers

Going 315 km uses up 35 liters of gasoline

On average, 1 liter of gasoline can travel the number of kilometers:

315 : 35 = 9 liters of gasoline

Which of the following points lies on the graph of the function y = 3 Superscript x?
a. (1, 0)
c. (3, 1)
b. (2, 9)
d. (0, 3)



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

(2,9)

Step-by-step explanation:

I am assuming that you mean: [tex]y= 3^x[/tex]

I have graphed the function given along the points given. When they are graphed, only the point (2,9) lie on the line.

This means that Option B is the correct answer.

See graph below.

Hope this helps.

each exterior of a regular polygon is 30 degree find the sum of interior angles of the polygon​

Answers

Step 1: 360÷30(exterior angle)= 12 sides

Step 2: (12-2)×180= 1800 (sum of the interior angles of the polygon)

Test: 1800÷ 12 sides= 150 ( 1 interior angle)

Find x if x-log 48 + 3 log 2 = 1/3log125 - log3

Answers

Answer:

Step-by-step explanation:

x−log(48)+3(log(2))=

1

3

(log(125))−log(3)

Simplifies to:

x−0.778151=0.221849

Let's solve your equation step-by-step.

x−0.778151=0.221849

Step 1: Add 0.778151 to both sides.

x−0.778151+0.778151=0.221849+0.778151

x=1

Answer:

x=1

 

It takes Miguel 18 minutes to finish reading 4 pages of a book. How long does it take him to finish reading 30 pages

Answers

Answer: 135 minutes or 2 hours and 15 minutes  

Step-by-step explanation:

4/18 = 30/ x

Solve for duh 'x'

it should be 135 minutes, cuz you get 4.5 with 18 and 4

What is the inverse of the function f(x) = 169x2 when x ≥ 0?

A- f−1(x) = 13‾‾
B- f−1(x) = √13
C- f−1(x) = 13x
D- f−1(x) = 113

Answers

Answer:

[tex]f^{-1}(x) = \frac{\sqrt{x}}{13}[/tex]

Step-by-step explanation:

Inverse function:

Suppose we have a function y = f(x). To find the inverse, we exchange the y and the x values, and then isolate y.

Function:

[tex]f(x) = 169x^2[/tex]

That is:

[tex]y = 169x^2[/tex]

Exchanging x and y:

[tex]x = 169y^2[/tex]

Isolating y:

[tex]y^2 = \frac{x}{169}[/tex]

[tex]y = \sqrt{\frac{x}{169}}[/tex]

[tex]y = \frac{\sqrt{x}}{13}[/tex]

[tex]f^{-1}(x) = \frac{\sqrt{x}}{13}[/tex]

The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 132 units2 156 units2 168 units2 216 units2

Answers

132 units2

Just find the area of each shape:
Big triangle- 1/2 x 8 x 9 = 36 units2
Small triangle- 1/2 x 4 x 6 = 12 units2
Big rectangle: 15 x 4 = 60 units2
Small rectangle: 6 x 4 = 24 units2

Add them all up together:
36 + 12 + 60 + 24 = 132 units2

Trust me this is the answer.
COM.MENT ME IF U HAVE ANY QUESTIONS
(Pls say if im right)

A brainliest would be nice!
-SpaceMarsh

Which equation can be used to solve for c?

Answers

Please provide more information on this question.

Solve the following question algebraically please

Answers

Answer:

c. x = ± 7

Step-by-step explanation:

2x^2 = 98

x^2 = 98 / 2

x^2 = 49

x^2 = ± 7

Answer:

c

Step-by-step explanation:

x2= 98/2

=49

x2=49

x= +_7

Solve (x + 5)∕3 = 4 for x.

Answers

4+5=9 • 3 =27/4= 6.75

Answer:

7

Step by step explanation:

1. multiply both sides by 3

          3(x+5)/3 =4 x 3

2. Simplify

   x + 5=12

3. Subtract 5 from both sides

   x+5-5=12-5

4. Simplify

  7

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