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zhuklara [117]
3 years ago
11

The pair of points lies on the same line with the given slope. Find x

Mathematics
1 answer:
Troyanec [42]3 years ago
7 0

Answer:

  x = 7

Step-by-step explanation:

The point-slope equation of the line is ...

  y -(-13) = -3(x -3)

Substituting -25 for y, we can solve for x:

  -25 +13 = -3x +9

  -21 = -3x . . . . add -9

  7 = x . . . . . . . divide by -3

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Answer:

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Step-by-step explanation:

The answer is obtained by adding the areas of sectors of several circles.

1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.

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3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.

The area is the sum of the areas described above in numbers 1., 2., and 3.

total area = area 1 + area 2 + area 3

area of circle = (pi)r^2

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