Question

Can I get some help!

Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-10, 12) and point (5, 3) rounded to the nearest tenth?


17.5 units


10.29 units


175 units


13 units

Answer 1

The answer to your question is 17.5 units

Explanation:

Data

A (-10, 12)

B (5, 3)

Formula

dAB =
`\sqrt{(x2 - x1)^(2) + (y2 - y1)^(2)}`

x1 = -10 y1 = 12 x2 = 5 y2 = 3

- Substitution

dAB =
`\sqrt{(5 + 10)^(2) + (3 - 12)^(2)}`

- Simplification

dAB =
`\sqrt{15^(2)+ (-9)^(2)}`

dAB =
`√(225 + 81)`

dAB =
`√(306)`

Result

dAB = 17.49 units

The answer is the first choice