Mathematics High School

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

Figure ABCD is reflected across the y-axis.
What are the coordinates of A' B', C. and D'?
Enter your answer by filling in the boxes.
AOD
10-0-7
B'OD
D'OD

Answers

Answer:

yreflection in y-axis (x, y) → (-x, y)  **the sign of the x-coordinate changes, the y value stays the same**

A'(1, 4)

B'(5, 8)

C'(5, 4)

D'(4, 2)

Step-by-step explanation:

Answer:

A'(1, 4)

B'(5, 8)

C'(5, 4)

D'(4, 2)

Step-by-step explanation:

took the test

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.

Someone please help :( what is the slope??

Answers

Answer:

c 5/7

Step-by-step explanation:

look up a slope calculator online

If you look it up on a Calculator it should give you the answer!!!!

Determine the midpoint between the points (-3,-2) and (3,-8).

Answers

Answer:

(0,-5)

Step-by-step explanation:

How please help me and explain bc I have no clue how

Answers

=4 I think that could be the answer

PLEASE HELP ASAP!!
Please could I have the answers or step by step I don’t mind just PLEASEE help asap!!

Answers

Ok first you need to get a common denominator of 3 and 5 the smallest one would be 15 so then you rewrite both but remember if you do something to the bottom u have to do it to the top so you multiplied 3by 5 to get 15 to get your bottom then you have to times 5by 1 to get 5. So 5/15,same process for 3/5




5/15+ 9/15=9+5=14 so 14/15 (you keep the bottom the same) also it doesn’t need to be simplified because nothing can go into 14and 15 evenly





Same process for subtracting just subtract in the end so...

30/35-14/35= 16/35 also can’t be simplified evenly
In the end your answers are

1.14/15
2.16/35

Can someone help please??

If 3x−y=12, what is the value of
8x/2y ?

A) 2 to the 12th power
B) 4 to the 4th power
C) 8 to the 2nd power
D) The value cannot be determined from the information given.

Answers

Answer:

A) 2 to the 12th power

Step-by-step explanation:

[tex] \frac{8x}{2y} = \: \frac{ {2}^{3x} }{2y} = {2}^{12} [/tex]

the following two triangles are similar. Find the missing side length represented by x. Please help i am almost done.

Answers

Answer:

7 inches

Step-by-step explanation:

First, you make an imbalanced equation: 22.75/x=13/4.  Then you cross multiply: 22.75 * 4= 91. Then divide 91/13 = 7.

Please help asap!! I will mark you as brainliest :)

Answers

46 degrees by alternate interior angles

Answer: 46

Step-by-step explanation:

simplify the following 7+(-10)​

Answers

Answer:

-3

Step-by-step explanation:

Seven plus negative ten is the same as seven minus 10. 7-10=-3

Answer:

-3

Step-by-step explanation:

all you have to do is switch the 10 and 7 and you get -10+7. then subtract the two and use the sign of the bigger number which is a negative sign

Write the following mixed number as an improper fraction.

1 1/5​

Answers

Answer:

6/5

Step-by-step explanation:

1 would equal 5/5 so add another 1 to get 6/5


What is the value of the 3 in 16.35 ?

Answers

Answer:

3 tenths

Step-by-step explanation:

The face and place value of 3 in the decimal number 16.35 is, 3 and 3×10⁻¹.

What is the standard decimal form of numbers?

The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.

Each digit has a face value and a place value.

We know, A number has two values face value and place value,

Given, A decimal number 16.35.

Now, The digit 3 is one digit after the decimal,

So, It has a face value of 3 and a place value of 3×10⁻¹.

learn more about face value and place value here :

https://brainly.com/question/23719802

#SPJ2

Every person in a medical study is assigned a six-letter code, using only the letters A, B, C, and D. Which simulation tool(s) could be used to find the experimental probability that a code will have at least four A's?
random number list
colored discs
coin
die

Answers

Answer:

I don't know girl

Step-by-step explanation:

bc I don't know girl

Answer:ummm wht?

Step-by-step explanation:

18,54,162,... what is the 8th term.

Answers

Answer: 39,366

Step-by-step explanation:

a(n)= 3*a(n-1)

Therefore a(8)=3(a7)

Answer:

39366

Step-by-step explanation:

Hope this can help you.But if it's wrong,im so sorry

Have a great day

Can you do no7 doesn’t matter if u do just one part everything will help

Answers

a) 500
b) 750
c) 500
d) 12500
e) 30000
f) 600

can u help me plss i’ll give u brainliest

Answers

Answer:

The answer is

Step-by-step explanation:

What is the total surface area of the
triangular prism shown?
12 in.
9 in.
10 in.
15 in.
468 in2
ОООО
540 in2
576 in2
Ос
d
700 in2
Question 3 (1 point)

Answers

Answer:468 in2

Step-by-step explanation:

Pls help me with this question

C.the solution of the system is (3,-2) because that is the point where the two lines intersect

D.the solution of the system does not appear on the graph because the axes are shown only from -5 to 5

Answers

Answer:

its b

Step-by-step explanation:

it's b yup yup yeah yeah

Simplify: (4 – 5) – (13 – 18 + 2).

Answers

Answer:

2

Step-by-step explanation:

(4 - 5) - (13 - 18 + 2)

According to PEMDAS, we should simplify the parentheses first.

= (-1) - (-3)

When you subtract a negative number, you are actually adding.

= -1 + 3

Now, add.

= 2

Hope this helps!

In September, Louise planted a tree. Every month, the tree Louise planted grew 2 inches. What would the constant of proportionality of the line be?

Answers

Answer:

i think it would  be 2 inches

Step-by-step explanation:

4) easy- solve for x

Answers

Answer: - 8

Step-by-step explanation:

x/4 - 5 = -7

=> x/4 = -2

=> x = -8

Answer:

x=−8

Step-by-step explanation:

Add 5 to both sides

x/4-5+5=-7+5

x/4=-2

4x/4=4(-2)

x=-8


a: b = 2:7
a² = 36
Work out the two possible values of b.

Answers

Answer:

21

Step-by-step explanation:

Given:a²=36

a=✓36

a=6

a:b=2:7

6:b=2:7

can be written as

6/b=2/7

2b=6*7

b=6*7/2

b=21

The probability of a fair coin landing heads-up in one toss is 1/2.If a coin is
tossed 20 times, how many times would the coin be expected to land heads-
up?
20
1
10
2

Answers

Answer:

10/20 because then it's still a 50 50 chance so the answer it 10

The answer is 10 as there is 50%-50% chance of both; probability of getting heads or tails is 1/2

La suma de las edades de los hermanos Carlos y Felipe es igual a la edad de su tía María; Si María tiene 29 años y Carlos tiene 13 años, ¿Cuántos años tiene Felipe?

Answers

Answer:

16 años

Step-by-step explanation:

Si la suma de la edad de Carlos y Felipe es igual a la de Maria, y en la pregunta nos dan la edad de Maria (M) y Carlos (C), entonces tenemos que encontrar la edad de Felipe. Para calcular esto necesitamos restar la edad de Carlos de la edad de Maria. Esto nos dara la edad exacta de Felipe (f).

M - C = f

29 - 13 = f

16 = f

Finalmente, vemos que la edad de Felipe es de 16 años

8 m (cubic meters) = dm3 (cubic decimeters)

Answers

Answer: 8000 dm³

Step-by-step explanation:

1 m³= 1000 dm³

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

Given

8 m³= dm³

Solve

8 m³ × 1000 dm³/m³=8000 dm³

Hope this helps!! :)

Please let me know if you have any questions

Twenty divided by the difference of seven and three. Numerical expression

Answers

Answer:4

Step-by-step explanation:20 divided by(7-3)

is this exponential growth or decay y=6e^-x​

Answers

Answer: It's always decreasing/decaying.

Step-by-step explanation: To find if it is increasing or decreasing, graph the exponential problem.

1. Start at the top.

2. Look at the exponent.

The exponent is -x. Since negative means opposite/down, it goes down.

Therefore, it's always decaying.

HELPPP PLZ :(( I WILL MARK BRAINLIEST PLZZZ

Answers

Answer:

y = -3/2x + 2

The line starts on (0,2) and then it run 3 spaces down and 2 spaces to the right. Hope this helps, thank you !!

Which shows the image of rectangle ABCD after the rotation (x, y) → (–y, x)?

Answers

Answer:

The answer is A

Step-by-step explanation:

I got it right

Answer:

Answer choice A is correct.

Step-by-step explanation:

I'm smort UwU

-3x>18
(not in high school in middle school)

Answers

Answer:

x<-6

Step-by-step explanation:

-3x>18

Divide by -3, flip the sign since dividing by a negative.

x<-6

Answer:

x < -6

Step-by-step explanation:

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