Question

1. you are given the following points on a coordinate plane: x(-3, 3.3), y(-3, -5.2), and z(4.5, -5.2).

part a
using absolute value, find the distance (number of units) between points x and y.
part b
select all the coordinates that are 5 units from point z.
(-0.5, -10.2)
(4.5, -0.2)
(-0.5, -5.2)
(9.5, -0.2)
(4.5, -5.2)

Explanation:

Step1: Identify coordinates of X and Y

X(-3, 3.3), Y(-3, -5.2)

Step2: Calculate distance using absolute value

Distance = |3.3 - (-5.2)| = |8.5| = 8.5

Step3: Check points 5 units from Z(4.5, -5.2)

For a point (x, -5.2) (same y as Z), |x - 4.5| = 5 → x = 4.5±5 → x=9.5 or x=-0.5
So points are (9.5, -5.2) and (-0.5, -5.2)

Answer:

PART A: 8.5
PART B: (-0.5, -5.2), (9.5, -5.2)