What is the distance between the points ( 6, 32 ) and ( -8, -16 )?

Distance between the points (x₁,y₁) and (x₂,y₂)

Distance=√[(x₂-x₁)²+(y₂-y₁)₂]
(6,32)
(-8,-16)
distance=√[(-8-6)²+(-16-32)²]
d=√[(-14)²+(-48)²]
d=√(196+2304)
d=√2500
d=50

D. 50

(A) 2/3*A = -24
.. A = (3/2)*-24 = -36

(B) 20 = -B/0.2
.. -0.2*20 = B = -4

(C) The distance between the two points is (-4) -(-36) = 32.
Distance is generally a positive number. For two points on the number line, it is found by subtracting the value of the leftmost point on the number line from the value of the rightmost point.