Question

What is the distance between the points (9, -3) and (2, 4)?

Answer 1

Answer:

The answer is

9.9 units

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} }$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(9, -3) and (2, 4)

The distance between them is

$d = \sqrt{ ({9 - 2})^{2} + ( { - 3 - 4})^{2} } \\ = \sqrt{ {7}^{2} + ({ - 7})^{2} } \\ = \sqrt{49 + 49} \\ = \sqrt{98} \\ = 7\sqrt{2} \\ \: \: \: \: \: \: \: \: = 9.899494$

We have the final answer as

9.9 units to the nearest tenth

Hope this helps you

Answer 2

Answer:

the answer would be 9.9

Step-by-step explanation

You must use the distance formula which is $\sqrt{(2-9)^2 +(4-(-3))^2}$

Simplify - $\sqrt{(-7)^2 +(7)^2}$

simplify again - $\sqrt{49+49}$

once more simplify - $\sqrt{98}$

and you can get your answer by $\sqrt{98\\}$=9.899 or rounded to the nearest 10th 9.9. I hope this helps!