Question

What is the distance, rounded to the nearest tenth, between the points (-5,3) and (1,-1)? Enter the answer in the box.

units

Answer 1

The distance between the points (-5,3) and (1,-1) is found using the distance formula and is approximately 7.2 units when rounded to the nearest tenth.

Step-by-step explanation:

To find the distance between two points (-5,3) and (1,-1), we can use the distance formula: √((x2 - x1)² + (y2 - y1)²). Plugging in our values, we get the distance as √((1 - (-5))² + (-1 - 3)²) = √(6² + (-4)²) = √(36 + 16) = √52. To round to the nearest tenth, we calculate √52 and find it is approximately 7.2. Therefore, the distance between the points, rounded to the nearest tenth, is 7.2 units.

Answer 2

To answer this question we're going to need to use the distance formula, which is

d = √((x2 - x1)2 + (y2 - y1)2)

We are given two points:

(x1, y1) = (-2, 1)

(x2, y2) = (-5, 3)

d = √((-5 - (-2))2 + (3 - 1)2)

= √((-3)2 + (2)2)

= √(9 + 4)

= √(13)

≈ 3.6056

Since it says to round to the nearest tenth, the distance between the 2 points is

3.6 units

d=3.6

hope it helps