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stepladder [879]
3 years ago
8

A window in the shape of a rectangle as shown below has a width of x+5 and a length of x^2- 3x+7 express the area of the rectang

le as a single polynomial in simplest form

Mathematics
1 answer:
Ksju [112]3 years ago
6 0

Answer:

x^3+x^2-5x+28

Step-by-step explanation:

since a=lw, the area is (x^2-3x+7)(x+4)

1. distribute parentheses \left(x^2-3x+7\right)\left(x+4\right)=x^2x+x^2\cdot \:4+\left(-3x\right)x+\left(-3x\right)\cdot \:4+7x+7\cdot \:4

2. apply +(-a)=-a rule x^2x+4x^2-3xx-3\cdot \:4x+7x+7\cdot \:4

3. Simplify

    Steps to simplify:

x^2x=x^3

3xx=3x^2

3\cdot \:4x=12x

7\cdot \:4=28

x^3+4x^2-3x^2-12x+7x+28

4. Add like terms =x^3+4x^2-3x^2-5x+28

5. Add like terms =x^3+x^2-5x+28

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2 years ago
What is an equation of a circle with center (2,7) and radius 4?
goblinko [34]

Equation of a circle:

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In this case:

<span>center (2,7) and radius 4 so h = 2, k = 7 and r = 4

</span>Equation:

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Hope it helps.

8 0
3 years ago
Solve each given equation and show your work.
Eduardwww [97]

Answer:

(a) x = 3

(b) y = 6

(c) false/not true

(d) x = 5

Step-by-step explanation:

(A) 2 + x = 5 You would subtract the 2 from both sides which gives you x = 3

(B) 8y = 48 You would divide 8 from both sides which is 6 so y = 6

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(D) -7x - 3x + 2 = -8x - 8 First simplify the equation; -10x + 2 = -8x - 8. Next, you want to subtract 2 from both sides which gives us -10x = -8x - 10. Now you want to add 8x to both sides which is -2x = -10. And now you just divide -2 on both sides which gives us the answer 5. So, x = 5. I hope this helps. Let me know if one of the answers are incorrect.

3 0
3 years ago
What fraction of 5 is 1/2​
Sphinxa [80]

Answer:

1/10

Step-by-step explanation:

1/2 divided by 5 = 1/10

7 0
3 years ago
Read 2 more answers
Explain it hank needs 3 quarters to play one video game each time.if he has 14 quarters, how many timed can he play? Explain.
ratelena [41]
<span> The answer is is 4 times. </span>
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3 years ago
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