Question

Identify the distance, to the nearest tenth, between J(−3,4) and K(7,−9).

A. 1.5
B. 9.2
C. 16.4
D. 14.7

Answer 1

Answer: C. 16.4

Concept:

Here, we need to know the idea of the distance formula.

The distance formula is the formula, which is used to find the distance between any two points.

Distance = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Given information

(x₁, y₁) = (-3, 4)

(x₂, y₂) = (7, -9)

Given expression

$Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute values into the expression

$Distance =\sqrt{(7+3)^2+(-9-4)^2}$

Simplify value in the parentheses

$Distance =\sqrt{(10)^2+(-13)^2}$

Simplify exponents

$Distance =\sqrt{100+169}$

Simplify by addition

$Distance =\sqrt{269}$

Convert square root to decimal and round the answer to the nearest tenth

$\boxed{Distance=16.4}$

Hope this helps!! :)

Please let me know if you have any questions