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3 years ago

A rectangular deck has a perimeter of 126 feet and an area of 972 square feet. What are the dimensions of the deck?

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

4 0

Answer:

27 ft x 36 ft

Step-by-step explanation:

2 (L + W) = 126

L + W = 63

LW = 972

L ( 63 - L) = 972

63L - L² = 972

L² - 63L + 972 = 0

(L-27) (L - 36) = 0

L = 27 or L = 36

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Point Q is the center of dilation. Line segment L M is dilated to created line segment L prime M prime. The length of L Q is 4 a

koban [17]

Answer:

The length of segment QM' = 6

Step-by-step explanation:

Given:

Q is the center of dilation

Pre-image (original image) = segment LM

New image = segment L'M'

The length of LQ = 4

The length of QM = 3

The length of LL' = 4

The original image was dilated with scale factor = 2

QM' = ?

To determine segment QM', first we would draw the diagram obtained from the given information.

Find attached the diagram

When a figure is dilated, we would have similar shape in thus cars similar triangles.

Segment L'M' = scale factor × length of LM

Let LM = x

L'M' = 2x

Using similar triangles theorem, ratio of their corresponding sides are equal.

QM/LM = QM'/L'M'

3/x = QM'/2x

6x = QM' × x

Q'M' = 6

The length of segment QM' = 6

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2 years ago

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Can u guys PLEASE ANSWER this question ASAP.

qwelly [4]

Answer:

x = -14

Step-by-step explanation:

The expression to write in this problem is:

"the sum of x and 12 equals the sum of half of x and 5"

We have:

- The sum of x and 12 is: $x+12$

- The sum of half of x and 5 is: $\frac{1}{2}x+5$

So, the equation to write in this problem is

$x+12=\frac{1}{2}x+5$

We solve it as follows:

1) First, we subtract $\frac{1}{2}x$ from both sides, and we get

$x-\frac{1}{2}x+12=\frac{1}{2}x-\frac{1}{2}x+5\\\frac{1}{2}x+12=5$

2) Then, we subtract 12 from both sides:

$\frac{1}{2}x+12-12=5-12\\\frac{1}{2}x=-7$

3) Now we multiply both sides by 2:

$\frac{1}{2}x\cdot 2=-7\cdot 2\\x=-14$

So, this is the solution.

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3 years ago

What is the point slope equation of the line with slope -12 that goes through the points (5, 3)?

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In this case we are given that m=-12 and (x1,y1) is (5,3) so

y-3=-12(x-5)

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Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

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