Question

Find the distance between (−2,−1) and (4,7)
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Answer 1

10

Explanation:

`\sqrt{x - x )^(2) + (y - y) ^(2) }`

thats what you do

Answer 2

10 units

Explanation:

Use the distance formula.

The distance formula states that to find the distance between two points
`(x_(1) ,y_(1))` and
`(x_(2),y_(2))`:
`\sqrt{(y_2-y_1)^(2)+(x_2-x_1)^(2) }`

In this case, we have x1 = -2, y1 = -1, x2 = 4, and y2 = 7. Plugging in these values, we get:
`\sqrt{(7-(-1))^(2)+(4-(-2))^(2)} = \sqrt{8^(2) + 6^(2)} = √(100) = 10`

Thus, the distance is 10.