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e-lub [12.9K]
2 years ago
8

PLEASE PLEASE HELP PLEASE

Mathematics
1 answer:
kogti [31]2 years ago
3 0

Answer:

r = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

PR² = PQ² + QR² , substitute values

(r + 4)² = r² + 8²

r² + 8r + 16 = r² + 64 ( subtract r² from both sides )

8r + 16 = 64 ( subtract 16 from both sides )

8r = 48 ( divide both sides by 8 )

r = 6

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The coordinates of the endpoints of directed line sergeant ABC are A(-8,7) and C(7,-13). If AB:BC = 3:2 then the coordinates of
cestrela7 [59]

The correct answer is A) (1,-5)

Further explanation:

Given points are:

A(-8,7)=(x1,y1)

C(7,13)=(x2,y2)

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To find the coordinates of B

x_B=\frac{mx_2+nx_1}{m+n}\\ = \frac{(3)(7)+(2)(-8)}{3+2}\\=\frac{21-16}{5}\\=\frac{5}{5}\\=1\\y_B=\frac{my_2+ny_1}{m+n}\\=\frac{(3)(-13)+(2)(7)}{3+2}\\=\frac{-39+14}{5}\\=\frac{-25}{5}\\=-5

The coordinates of point B are (1,-5)

The correct answer is A) (1,-5)

Keywords: Coordinate geometry, mid-point

Learn more about coordinate geometry at:

  • brainly.com/question/4819659
  • brainly.com/question/4691222

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Answer:

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3 years ago
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