A projector displays an image on a wall. The area (in square feet) of the projection is represented by x^2-8x+15
a. write a binomial that represents the height of the projection
b. find the perimeter of the projection when the height of the wall is 8 feet​

A Projector Displays An Image On A Wall. The Area (in Square Feet) Of The Projection Is Represented By

Answers

Answer 1

Answer:

a. (x - 5) ftb. 16 ft

Step-by-step explanation:

The area given:

x² - 8x + 15

a. The height is the factor of the area:

x² - 8x + 15 = x² - 3x - 5x + 15 = x(x - 3) - 5(x - 3) = (x - 3)(x - 5)

The width is x - 3, so the height is x - 5

b. The perimeter formula:

P = 2(x - 3 + x - 5) = 2(2x - 8) = 4x - 16

The height of the wall is 8 ft:

x = 8

The perimeter is:

P = 4*8 - 16 = 32 - 16 = 16 ft

Related Questions

7.6 cm
Diagram NOT
accurately drawn
A circle has a radius of 7.6 cm.
Work out the area of the circle.
Give your answer correct to 3 significant figures.​

Answers

Answer:

181cm²

Step-by-step explanation:

Given

Radius of a circle = 7.6cm

Area of the circle = \pi r²

Substitute

Area of the circle = 3.14(7.6)²

Area of the circle  = 3.14(57.76)

Area of the circle = 181.3664cm²

Area of the circle to 3sf is 181cm²

the volume of a recta

Answers

There is no graph to find the volume

Write the equation in standard form using integers.
y = - 2/3x -5
The equation in standard form is

Answers

The Answer is: 2x+3y=-15

Derrick needs to sell a minimum of 100 orders each month to make it into the sales winners circle. He has already sold 45 orders this month. He still needs to sell s more orders. Which inequality can be used to find the possible values for s? s−45>100
s−45<100 s+45≤100 s+45≥100

Answers

Answer:

s+45≥100

Step-by-step explanation:

"A minimum of" means either the same amount or more. So, the total amount he sells (s + 45) needs to be greater than or equal to 100.

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
10
X
13

Answers

Answer:

8.31

Step-by-step explanation:

By Pythagoras Theorem,

(10)² + x² = (13)²

=> x² = (13)² - (10)²

=> x² = 169 - 100

=> x² = 69

=> x = [tex]\sqrt{69}[/tex]

=> x ≈ 8.31

Hope it helps :)

Please mark my answer as the brainliest

can someone please help ​

Answers

Answer:

C

Step-by-step explanation:

We can use the pythagorean theorem (A^2 + B^2 = C^2) To solve this question.

For answer A, we add 6^2 (36) and 8^2(64) to get 10^2 (100). This is a right triangle.

For question B, we add [tex]\sqrt{3}[/tex] ^2 (3) and [tex]\sqrt{8}[/tex]^2 (8) to get [tex]\sqrt{11}[/tex]. This is a right triangle.

For question C, we add 3^2 and 5^2 to get [tex]\sqrt{34}[/tex]. This is not a right triangle.

The Hendricksons are in charge of bringing treats for 50 football players. They brought 3 coolers of popsicles and 2 coolers of ice cream sandwiches. Each player is going to randomly select a cooler from which to get their treat. Which statement best predicts how many players will get a popsicle?

Answers

3/5 of the players (30 players) will get a popsicle.

There are 5 coolers in total. There are 3 coolers of popsicles, which means 3/5 of the coolers are popsicle coolers.

To find out how many football players will get a popsicle, multiply the amount of football players (50) by the chance they will pick a popsicle cooler (3/5).

50 x 3/5 = 30 football players

Answer:

There will be close to 30 football players but probably not exactly 30 football players who get a popsicle.

Step-by-step explanation:

Its correct on Khan Academy

Which system of equations has no solutions? y - ​

Answers

the second one on the top right

HELP ME PLZ !!! IT'S ALGEBRA

Answers

Answer:

x = - 8/23

y = 40/23

Step-by-step explanation:

-5x- y = 0

and

-8x+3y = 8

The first step to solve this would be to get what one of the two variables equal. The easiest in this case is y from the first equation.

-5x-y = 0

-y = 5x

y = - 5x

Now you can take this y value and plug it into the section equation.

-8x + 3(-5x) = 8

-8x - 15x = 8

-23x = 8

x = - (8/23)

Once you get the x value you can plug it back into equation one to get y's value

-5*-(8/23)  - y = 0

40/23 - y = 0

y = 40/23

please help, needed to graduate!!

Answers

Answer:

its b

Step-by-step explanation:

i just did that question last period

factor out the coefficient of 1/2d+6

Answers

Answer:

factoring out the 1/2 (that is the coefficient of the variable) would require you to divide the equation by one half, which is the same as multiplying by two. After doing this, the answer can be expressed as:

1/2 (d+12)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factor out a 1/2

[tex]\frac{1}{2}(d+12)[/tex]

Redistribute if you want to check your work

[tex]\frac{d}{2}+\frac{12}{2} =\frac{1}{2}d+6[/tex]

Jenna borrows $8,000 for college at a yearly simple interest rate of 6%. She takes
15 years to pay off the loan and interest. How much interest does she pay? What is
the total amount she pays?

Answers

Answer:

The interest will rack up to $7,200

The total will be $15,200

Step-by-step explanation:

the interest she pays is $7,000

the total amount she pays is $15,200

Jenna borrows $8,000 for college at a simple interest rate of 6%

she has 15 years to pay back the loan and interest

the interest can be calculated as follows

= 6/100 × 8,000

= 0.06 × 8000

= 480

= 480 × 15

= $7200

the total amount she pays can be calculated as follows

= $7200 +$8000

= $15,200

Hence the interest she pays is $7200 and the total amount is $15,200

please see the link below for more information

https://brainly.com/question/19334153?referrer=searchResults

Find the product of (-94) and 47.

Answers

Answer:

I think it's -4418

Which choice below lists all of the square roots of the number 100?
A. V10-10
C. 10,-10
B. 10
E. 50,-50
D. -10

Answers

Answer:

c. 10, -10

Step-by-step explanation:

10x10=100

-10x-10=100

Answer:C

Step-by-step explanation: when doing the square root of 100 it’s 10 but -10 times -10 is also 100 because of double negatives

Last week, Naomi set a new personal record for running the mile. She beat her previous record by 14 seconds. The time change from her previous record can be represented by.____
zero
a positive rational number
a negative rational number


brainlyist for the correct answer

.

Answers

Answer:

a negative rational number

Step-by-step explanation:

I'm pretty positive this is the answer, but its worded strange in my opinion

9 strings of lights for $52.65 .how much does one string of lights cost ?

Answers

Answer:$5.85

Step-by-step explanation: you divide 52.65 divided by 9 and it will equal $5.85

Answer:

$5.85. Hope this helped! :')

Step-by-step explanation:

1. Use the algorithm method.                              

          5      . 8 5

9 |        5 2 . 6 5

            4 5 .  

                7 . 6

                7 . 2

                      4 5

                      4 5

2. Therefore, 52.62 divided by 9=5.85

5.85

Factor completely. x^2−11x+24

Answers

Answer:

(x-3)*(x-8)

Step-by-step explanation:

x^2-11x+24=(x-3)*(x-8)

MULTIPLE CHOICE: Choose the BEST ANSWER. The equation C = 5n represents the cost “C” in dollars for “n” caps that advertise the walkathon. Which of the following ordered pairs could represent a number of caps and the cost for that number of caps, (n, C)?
A. (0 , 5)
B. (3 , 15)
C. (15 , 60)
D. (5 , 1)

Answers

Answer:

c

Step-by-step explanation:

d. Lauren and Gina's mother told her daughters they can
swim in the pool for 20 minutes. First, they swam laps in
the pool for 7 minutes. Then they swam underwater for
one minute. Then they played water polo for 8 minutes.
How much longer can they stay in the pool?

Answers

Answer:

4 minutes left

Step-by-step explanation:

20 - 16 = 4

The longer can they stay in the pool 4 minutes left.

We have given that,

Lauren and Gina's mother told her daughters they can

swim in the pool for 20 minutes.

First, they swam laps,

The pool for 7 minutes.

Then they swam underwater for one minute.

Then they played water polo for 8 minutes.

We have to determine the longer can they stay in the pool.

How many seconds in 1 minute?

1 minute =60 second

4 minutes left

20 - 16 = 4

The longer can they stay in the pool 4 minutes left.

To learn more about the time visit:

https://brainly.com/question/2854969

#SPJ2

in the scale drawing what will the length of the West side be? ​

Answers

28 or 8 depending on which part of the drawing you’re referring to

Check whether the sequence is arithmetic. If​ so, find the common difference d. 2​, 7​, 12​, ​17, 22 ... Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

Answers

Answer:

The answer is A.

Step-by-step explanation:

The common difference is five because 7-2=5, 12-7=5, 17-12=5, 22-17=5, and so on.  

Can someone please answer these questions ASAP!!

Answers

1. 31 2. 56ft 3. 16 4. 7 5. 20ft

A 64-ounce container of sports juice costs $6.50. A 48-ounce container of the same juice costs $4.25. Which juice container is the better buy.

Answers

Answer:

The juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

Step-by-step explanation:

In order to determine the juice container that is the better buy, you have to find the one that has a lower cost per ounce by dividing the price of each juice container by the number of ounces it has:

64-ounce container: 6.50/64=0.10

48-ounce container: 4.25/48=0.08

According to this, the answer is that the juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

Solve the real-world situation by using the substitution method.
The number of DVDs sold at a store in a month was 923 and the number of DVDs sold decreased by 12
per month. The number of Blu-ray Discs sold in the same store in the same month was 505 and the
number of Blu-ray discs sold increased by 26 per month. Let d represent the number of discs sold and t
represent the time in months.
The system of equations
{d=923-12t
{d=505+26t
can be used to represent this situation.
If this trend continues, how many months will the number of DVDs sold equal the number of Blu-ray discs
sold? How many of each is sold in that month?
There will be ____ DVDs and Blu-Ray discs sold per month in ____ months.

Answers

Answer:

In 11 months, the number of DVDs sold and Blue-Ray discs sold will be same, 791 of each.

Step-by-step explanation:

In the equation d = 923-12t, substitute 505+26t (from the second equation) for 'd'. We get

505 + 26t = 923 - 12t

-505 + 12t   -505 + 12t

38t     =       418

t=11

d = 923-12(11) = 791

d = 505+26(11) = 791

After 11 months, selling 791 of each.

Hope this helps.

Answer:

791

Step-by-step explanation:

Which of the following describes the correct first step in solving the equation 2x - 7 = 5?

Answers

Answer:

you need to post a picture of the options, but the answer is add seven to both sides.

Step-by-step explanation:

Answer:

add 7 to 5

Step-by-step explanation:

1. 2x - 7 = 5  

2. 2x = 5 + 7     (reverse the 7)

3. 2x = 12          (simplify)

4. 12/2               (divide number by the unknown value)

5. x= 6           (solve?)

6. 2(6) - 7 = 5    (CHECK)

What is 46x15?? Thank you so much!

Answers

Answer:

i think its a uhhh i think its a carrot..

Step-by-step explanation:

(x-7)(2x + 1) = 0

Factoring

Answers

Answer:

x=7,x=-1/2

Step-by-step explanation:

so x-7=0 or 2x+1=0

x=7 or 2x=-1

x=7,x=-1/2

if my answer helps please mark as brainliest.

4n+1=25
Please help with an explanation ​

Answers

Answer:

n = 6

Step-by-step explanation:

To isolate n, subtract 1 from both sides:

4n + 1 = 25

4n = 24

Then divide by 4 on both sides:

4n = 24

n = 6

Hope this helped :)

Answer:

6

Step-by-step explanation:

4n+1= 25

or,4n= 25- 1

or,4n=24

or,n=24/4

so n= 6

12.7
4. Mariana compró 46 pies de listón azul, para hacer adornos navideños, ¿cuántos
centímetros de listón tiene? (1 pie=0.3048 m)
1
3
14​

Answers

Answer:

3500cmnjdkslkrkdjdsllwldkkdkrkfjfrkrk

use elimination to solve and please show ur work.
4x + 3y = 6
2x - y = -2

Answers

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(0,2)

Equation Form:x=0, y=2

Answer:

(0,2)

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of  y  opposite.

3*2x-y=3*-2

Simplify

6x-3y=-6

Add the two equations

10x = 0

Divide both by 10 and simplify

x=0

Substitute x into the equations.

4*0+3y=6

3y=6

2

y=2

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