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lana66690 [7]
3 years ago
10

Write an equation of the line that is perpendicular to the line y =1/2x + 8 that passes through the point (4,6).

Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Answer:  y = -2x + 14

Step-by-step explanation:

original slope: 1/2

new slope : -2

y=mx+ b

y= -2x+b

6= -2(4) +b

6 = -8 + b

14 = b

y = mx + b

y = -2x + 14

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What is the image of the point. (6, – 7) after a rotation of 180° counterclockwise
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Answer:

(-6,7)

Step-by-step explanation:

The rotation is 180 degrees, so its means that the direction (clockwise vs counterclockwise) doesn't actually matter. With a rotation of 180 degrees, the preimage is switched to the opposite side of both the y and x-axis. This means that the rule for rotation around 180 is (-h,-k). Therefore, the answer will have the opposite signs. Thus. the image of (6,-7) is (-6,7).

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The point ( -3, -5 ) is on the graph of a function. which equation must be true regarding the function?
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3 years ago
7th grade math problem! Please help!
ANTONII [103]

Volume of the hexagonal prism = 1732.7772 ft³

Solution:

Height of the prism (H) = 15.4 ft

Side of the hexagon base (b) = 6.58 ft

Height from center to the side length (h) = 5.7 ft.

Let us first find the area of the base.

Area of the base (B) =  6\times\frac{1}{2}\  bh

                                 $=6\times\frac{1}{2}\times 6.58 \times 5.7

Area of the base (B) = 112.518 ft²

To find the volume of the hexagonal prism:

Volume of the hexagonal prism = Area of the base × Height

                                                     = 112.518 × 15.4

                                                     = 1732.7772 ft³

The volume of the hexagonal prism is about 1732.7772 ft³.

3 0
3 years ago
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Strike441 [17]

Answer:

85/2 or 42.5 ft²

Step-by-step explanation:

A = l x w

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= 15/2 (17/3)

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3 years ago
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