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sladkih [1.3K]
3 years ago
10

Graph the image of rectangle STUV after a reflection across the line x = -2

Mathematics
1 answer:
valina [46]3 years ago
8 0

Answer:  see image

<u>Step-by-step explanation:</u>

Draw line x = -2. Count how many units away each point is from line x = -2 and  create the new points the same number of units away from line x = -2 but in the opposite direction.

S is 5 units to the right of x = -2. The new point S' is 5 units to the left of x = -2.

T is 6 units to the right of x = -2. The new point T' is 6 units to the left of x = -2.

U is 6 units to the right of x = -2. The new point U' is 6 units to the left of x = -2.

V is 5 units to the right of x = -2. The new point V' is 5 units to the left of x = -2.

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A book is in the shape of a right rectangular prism. It measures 8 1/2 inches tall, 7 inches wide, and 2 1/2 inches thick. What
Alenkasestr [34]
Hello!

The formula for volume of a rectangular prism is:

V = lwh

Let's convert the dimensions to decimals, and then use the formula to solve.

8 1/2 = 8.5 as a decimal.

7 = 7 as a decimal.

2 1/2 = 2.5 as a decimal.

Multiply:

V = 8.5 × 7 × 2.5

V = 59.5 × 2.5

V = 148.75

148.75 = 148 3/4 as a fraction because if you convert 3/4 to a decimal by dividing the numerator by the denominator, it equals 0.75.

ANSWER:

The volume of the book is 148 3/4 inches cubed.

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3 years ago
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Answer:

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Step-by-step explanation:

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4 0
2 years ago
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PLEASE HURRYYYY
MariettaO [177]

The equations for the coordinates of the endpoint F should be x = 2 · 35 - 15 and y = 2 · (- 3) - 26.

<h3>How to derive the equations for the missing endpoint of a line segment</h3>

In this problem we know the coordinates of the endpoint E and the midpoint M of the line segment EF and we need to derive expressions of the coordinates of the endpoint F by the midpoint formula:

M(x, y) = 0.5 · E(x, y) + 0.5 · F(x, y)

2 · M(x, y) = E(x, y) + F(x, y)

F(x, y) = 2 · M(x, y) - E(x, y)

If we know that M(x, y) = (35, - 3) and E(x, y) = (15, 26), then the coordinates of the endpoint F are:

F(x, y) = 2 · (35, - 3) - (15, 26)

F(x, y) = (70, - 6) + (- 15, - 26)

F(x, y) = (55, - 32)

The equations should be x = 2 · 35 - 15 and y = 2 · (- 3) - 26.

To learn more on midpoints: brainly.com/question/8943202

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1 year ago
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Munson's Sporting Goods purchases bowling balls from the manufacturer for a whole sale price of $50 each.There is a 60% mark up
Serhud [2]
The bowling balls are $80 each
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3 years ago
Write as a decimal: 2 5/8, 1 7/12
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Answer:

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