Question

Line segment AB is divided by point P in the ratio of 1:4.
Point A is (7,5) and point P is (10, 14).
What are the coordinates of point B?

Answer 1

Ответ:

B(22; 50)

Объяснение:

λ = 0.25

B(x, y)

$x(P) =\frac{x(A) + \lambda x(B) }{1 + \lambda } \\y(P) =\frac{y(A) + \lambda y(B) }{1 + \lambda }$

10 = (7 + 0.25x)/1.25

12.5 - 7 = 0.25x

x = 5.5 · 4

x = 22

14 = (5 + 0.25y)/1.25

14 · 1.25 - 5 = 0.25y

y = 12.5 ÷ 0.25

y = 50