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nasty-shy [4]
3 years ago
13

Find the point, M, that divides segment AB into a ratio of 3:2 if A is at (0, 15) and B is at (20, 0).

Mathematics
1 answer:
Temka [501]3 years ago
4 0

Answer:

(12, 6 )

Step-by-step explanation:

To find M use the Section formula

x_{M} = \frac{3(20)+2(0)}{3+2} = \frac{60}{5} = 12

y_{M} = \frac{3(0)+2(15)}{3+2} = \frac{30}{5} = 6

M = (12, 6 )

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The endpoints of DE and D(-3, y) and x, 6). The midpoint of DE is M(4,2). What is the length of DE.
Natasha_Volkova [10]

If the endpoints of DE where D(-3, y) and E(x, 6) with the midpoint M(4, 2), the length of DE is 16.12 units

The formula for calculating the midpoint is expressed as;

M(x,y)=(\frac{x_1+x_1}{2}, \frac{y_1+y_2}{2})

For the x-coordinate points:

X = -3+x/2

4 * 2 = -3 + x

8 = -3 + x

x = 8 + 3

x = 11

Get the value of y;

2 = y+6/2

y+6 = 2 * 2

y + 6 = 4

y = 4 - 6

y = -2

Hence the coordinates of D and E are D(-3, -2) and E(11, 6)

D=\sqrt{(6-(-2))^2+(11-(-3))^2}\\D=\sqrt{8^2+14^2}\\D=\sqrt{64 + 196}\\D=   \sqrt{260}\\D= 16.12units

Hence the length of DE is 16.12 units

Learn more here; brainly.com/question/22624745

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