Question

7. If A (6,8) and B (7, 4J are two points,

find the distance between a andB.
any
- Solo,​

Answer 1

√17 units

Explanation:

(6, 8) & (7, 4)

To find the distance between two points, we use the distance formula:

`d = \sqrt{(x_(2)-x_1)^2 + (y_2-y_1)^2 }`

Plug in the values you know.

`d = √((7 -6)^2 + (4 -8)^2 )`

Evaluate the parentheses.

`d = √((1)^2 + (-4)^2 )`

Evaluate the exponents.

`d = √((1) + (16) )`

Add.

`d = \sqrt{(17)`

Evaluate the square root.

`d=√(17)`

This square root is already fully simplified.

Your answer is √17 units.

Hope this helps!