The endpoints of a line segment are at the coordinates (3, -4, 6) and (5, 7, -2). what is the midpoint of the segment?

a. 7, 18, -10

b. 1.5, -2, 3

c. 1, -15, 14

d. 4, 1.5, 2

The answer is (D) ⇒ (4 , 1.5 , 2)

Step-by-step explanation:

∵ the mid point = [(x1 + x2)/2 , (y1 + y2)/2 , z1 + z2)/2]

∵ x1 = 3 , x2 = 5

∵ y1 = -4 , y2 = 7

∵ z1 = 6 , z2 = -2

∴ (x1 + x2)/2 = (3 + 5)/2 = 4

∴ (y1 + y2)/2 = (-4 + 7)/2 = 1.5

∴ (z1 + z2)/2 = (6 + -2)/2 = 2

∴ The mid point of the segment is (4 , 1.5 , 2)

46

step-by-step explanation:

given

height = 168 cm

formula

height =2.47*f+54.13

solution

168 = 2.47f + 54.13             subtract 54.13 from both sides

168 - 54.13   = 2.47f             combine

113.87 = 2.47f                     divide by 2.47

113.87 / 2.47 = f                   combine

46.1 = f  

answer: 46 cm