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monitta
2 years ago
10

The width of a picture frame is 1/4 the length. Write an algebraic expression of four terms for the perimeter of the picture fra

me. Use x as your variable.​
Mathematics
1 answer:
Tomtit [17]2 years ago
7 0

Answer:

  • P = 2.5x

Step-by-step explanation:

Let the length is x, then the width is 1/4x.

<u>Find the perimeter of rectangle:</u>

  • P = 2(l + w)
  • P = 2(x + 1/4x) = 2x + 1/2x = 2 1/2x = 2.5x
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Answer:

The other endpoint of the​ segment is (-18,-7).

Step-by-step explanation:

The midpoint of the points (x_1,y_1) and (x_2,y_2) is given by the following formula:

                                          (x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}  )

where (x_m,y_m) = coordinates of the midpoint.

We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:

                                         (-15,2)=(\frac{x_1-12}{2}, \frac{y_1+11}{2}  )

To find x_1 we need to solve this equation:

-15=\frac{x_1-12}{2} \\\\\frac{x_1-12}{2}=-15\\\\\frac{2\left(x_1-12\right)}{2}=2\left(-15\right)\\\\x_1-12=-30\\\\x_1-12+12=-30+12\\\\x_1=-18

and to find y_1 we need to solve this equation:

2= \frac{y_1+11}{2}  \\\\\frac{y_1+11}{2}=2\\\\\frac{2\left(y_1+11\right)}{2}=2\cdot \:2\\\\y_1+11=4\\\\y_1=-7

The other endpoint of the​ segment is (x_1,y_1)=(-18,-7).

5 0
3 years ago
one vertex of a polygon is located at (3,-2). After a rotation, the vertex is located at (2,3). which transformations could have
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Answer:

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Step-by-step explanation:

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4.4 + (4 × 14 + 8.6)
Sedaia [141]

4.4 + (4 × 14 + 8.6)

Follow the order of operations (PEMDAS).

4.4+(56+8.6)

4.4+(64.6)

answer: 69

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2 years ago
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DanielleElmas [232]

Answer:

B

Step-by-step explanation:

3x+33+6x=9x-33

9x+33=9x-33

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