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zalisa [80]
4 years ago
15

The length of a rectangle is 7 inches more than its width. If the perimeter of the rectangle is 66 inches, find the dimensions.

Mathematics
1 answer:
Igoryamba4 years ago
7 0

Answer:

13 by 20 inches

Step-by-step explanation:

Represent the quantities as follows:

P = 2W + 2L

L = W + 7

Then P = 2W + 2(W + 7), or P = 4W + 14

and this formula has the value 66 inches.

Thus, P = 66 inches = 4W + 14 inches, or

                52 inches = 4W

Dividing both sides by 4, we get W = 13 inches.

The width is 13 inches and the length is (13 + 7) inches, or 20 inches.

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Write an equation of the line, in point-slope form, that passes through the following points: (–2, 8), (3, –2).
Alexxx [7]

Answer:

The equation of the line would be A) y - 8 = -2(x + 2)

Step-by-step explanation:

In order to find the equation of the line, we need to start by finding the slope. We can do that with the slope equation.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-2 - 8)/(3 - -2)

m = -10/5

m = -2

Now that we have the slope at -2, we can plus in the first point into point-slope form and find the equation.

y - y1 = m(x - x1)

y - 8 = -2(x + 2)

<u>QUESTION 2</u>

Answer:

The correct answer is B) x-intercept = -4 and y-intercept = -3

Step-by-step explanation:

We can tell this because the y-intercept is the value of y when x = 0. So we put 0 into x for the equation.

3x + 4y = -12

3(0) + 4y = -14

4y = -12

y = -3

Since B is the only answer with an y-intercept at -3, we know it to be the correct answer.

3 0
3 years ago
4-2x=22 relationship can be written as
Dovator [93]

Answer:X=-9

Step-by-sep explanation:

4-2X=22

Move towards

⇒-2X=22-4

Multiply -1

⇒2X=-18

Divide by two

⇒X=-9

8 0
3 years ago
Find the solutions to x^2=24
VikaD [51]

Answer:

\sqrt[2]{6} ,\sqrt[-2]{6}

Step-by-step explanation:

Correct me if im wrong

7 0
3 years ago
I really need some help with this question
Serhud [2]

Answer:

inverse

Step-by-step explanation:

inverse

hope this helps

8 0
3 years ago
Read 2 more answers
A bicycle wheel travels 321 in for each revolution. What is the radius of the wheel ​
Sliva [168]

Answer:

51.1 ≈ r

Step-by-step explanation:

"A bicycle wheel travels 321 in for each revolution"- means that 321 is the circumference of the wheel that is a circle.

C = 2· π· r

What is the radius of the wheel ​?

321 = 2· π· r, divide both sides of the equation by 2 π

(321/2·π) = r , use calculator, solve and round the answer

51.1 ≈ r

4 0
2 years ago
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