Question

What is the distance between these two points (7,3) (-1,-4) round to the nearest hundredth

Answer 1

The answer to your question is dAB = 10.63

Explanation:

Data

A = (7, 3)

B = (-1, -4)

Process

To solve this problem, use the formula of the distance between two points, substitute the values and simplify.

Formula

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

x1 = 7 y1 = 3 x2 = -1 y2 = -4

-Substitution

dAB =
`\sqrt{(-1 - 7)^(2)+ (-4 - 3)^(2)}`

-Simplification

dAB =
`\sqrt{(-8)^(2) + (-7)^(2)}`

dAB =
`√(64 + 49)`

dAB =
`√(113)`

-Result

dAB = 10.63