Question

What is the length of segment AC?

Answer 1

Answer:

The answer to your question is dAC = 10 units

Step-by-step explanation:

Data

From the graph, take the coordinates of the points A and C.

A (3, - 1)

C (-5, 5)

Process

Use the formula of the distance between two points to find the length

d = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}$

x1 = 3    y1 = -1

x2 = -5  y2 = 5

Substitution

dAC = $\sqrt{(-5 - 3)^{2} + (5 + 1)^{2}}$

Simplification

dAC = $\sqrt{(-8)^{2} + (6)^{2}}$

dAC = $\sqrt{64 + 36}$

dAC = $\sqrt{100}$

dAC = 10 units

Answer 2

Answer:

10 units

Step-by-step explanation: