Mathematics: 6.3.12 The coordinates of point T are (0,5). The midpoint of ST is (2,-2). Find the coordinates of point S. The other endpoint is (Type an ordered pair.)

Well I would think that it is 6 because you would basically do 8-2 witch is 6....

6.3.12 The coordinates of point T are (0,5). The

885122bah

17.04.2021

S = (4,-9)

Step-by-step explanation:

Given

T = (0,5)

Midpoint = (2,-2)

Required

Find S

Midpoint is calculated as:

Midpoint = 0.5(x_1 + x_2,y_1+y_2)

So, we have:

(2,-2)= 0.5(0+ x_2,5+y_2)

Where x2 and y2 are the coordinates of S

Multiply through by 2

2 * (2,-2)= 2 * 0.5(0+ x_2,5+y_2)

(4,-4)= (0+ x_2,5+y_2)

(4,-4)= (x_2,5+y_2)

By comparison:

x_2 = 4

5 + y_2 = -4

y_2 = -4-5

y_2 = -9

So:

S = (4,-9)

0,0(0 оценок)