Question

What is the length of segment AC?

Answer 1

10 units

Explanation:

Answer 2

The answer to your question is dAC = 10 units

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 =
`√(64 + 36)`

dAC =
`√(100)`

dAC = 10 units