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SashulF [63]
2 years ago
15

which expression shows the perimeter of a rug that is 5 yards in length and 3 yards in width? A.2(5x3) B.2(5+3) C , 2(5-3) D.2(5

/3)
Mathematics
1 answer:
Readme [11.4K]2 years ago
3 0

For this case we have that the rug is rectangular.

By definition, the perimeter of a rectangle is given by:P = 2a + 2b = 2 (a + b)

Where:

a, b: Represent the sides of the rectangle

Substituting according to the data we have:

P = 2 (5 + 3)

Thus, the correct expression is option B.

Answer:

Option B

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Step-by-step explanation:


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Segment PE has endpoints P(-4,4) and E(0,-4). Find the coordinates of point Q such that PQ:QE is 1:3. Enter the coordinates belo
Natalka [10]

Answer:

(-3, 2)

Step-by-step explanation:

Given that point Q, partitions segment PE, such that PQ:QE is 1:3, coordinates of point Q is found using the formula below:

x = \frac{mx_2 + nx_1}{m + n}

y = \frac{my_2 + ny_1}{m + n}

Where,

P(-4, 4) = (x_1, y_1)

E(0, -4) = (x_2, y_2)

m = 1, n = 3

Plug in the necessary values to find x and y coordinates for point Q as follows:

x = \frac{mx_2 + nx_1}{m + n}

x = \frac{1(0) + 3(-4)}{1 + 3}

x = \frac{0 - 12}{4}

x = \frac{-12}{4}

x = -3

y = \frac{my_2 + ny_1}{m + n}

y = \frac{1(-4) + 3(4)}{1 + 3}

y = \frac{-4 + 12}{4}

y = \frac{8}{4}

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The coordinates of the point Q are (-3, 2))

8 0
3 years ago
Evaluate the piece-defined function for the given of x by matching the domain values with the range values
Elenna [48]

Answer:

The correct answer is:

(1) d

(2) b

(3) a

(4) c

(5) e

Step-by-step explanation:

The given problem is incomplete. Find the attachment of the full question.

According to the question,

(1)

By putting x = -2, we get

f(x)=(-2)^3-5

       =-8-5

       =-13

(2)

By putting x = 0, we get

f(x)=(0)^3-5

       =0-5

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(3)

By putting x = 3, we get

f(x)=8

(4)

By putting x = 9, we get

f(x)=(2)^{9-7}

       =(2)^2

       =4

(5)

By putting x = 11, we get

f(x)=(2)^{11-7}

       =(2)^4

       =16

7 0
2 years ago
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