Question

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

Answer 1

Answer:

The answer to your question is dAB = 10.63

Step-by-step 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 = $\sqrt{64 + 49}$

dAB = $\sqrt{113}$

-Result

dAB = 10.63