Question

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

Round your answer to the nearest tenth.

Answer 1

the answer would be 9.9

Step-by-step explanation

You must use the distance formula which is
`√((2-9)^2 +(4-(-3))^2)`

Simplify -
`√((-7)^2 +(7)^2)`

simplify again -
`√(49+49)`

once more simplify -
`√(98)`

and you can get your answer by
`√(98\\)`=9.899 or rounded to the nearest 10th 9.9. I hope this helps!

Answer 2

The answer is

9.9 units

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) } \\ = √(49 + 49) \\ = √(98) \\ = 7√(2) \\ \: \: \: \: \: \: \: \: = 9.899494`

We have the final answer as

9.9 units to the nearest tenth

Hope this helps you