Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

(−1,−2) and (5,2)

Answer 1

7.2 units

Explanation:

To find the distance between these two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the given values of (-1, -2) & (5, 2)

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(5 - (-1))² + (2 - (-2))²]

Simplify the parentheses.

d = √[(5 + 1)² + (2 + 2)²]

d = √[(6)² + (4)²]

Simplify the exponents.

d = √[36 + 16]

Add.

d = √[52]

Evaluate the radical.

2√13 or 7.2111

Round the decimal.

7.2 units

Hope this helps!