Question

What is the length of AB?
6units? , 12 units?, 10 units ?, 14 units?

Answer 1

10 units

Explanation:

Iready diagnostic

Answer 2

C. 10 units

Explanation:

Use the distance formula:

`(x_(1),y_(1))\\\\(x_(2),y_(2))\\\\d=\sqrt{(x_(2)-x_(2))^2+(y_(2)-y_(1))^2}`

Find the coordinate points of A and B:

`A(-7,-6)\\\\\\B(1,0)`

Insert the values into the formula:

`d=√((1-(-7))^2+(0-(-6))^2)`

Two negatives make a positive. Simplify:

`d=√((1+7)^2+(0+6)^2)`

Simplify addition:

`d=√((8)^2+(6)^2)`

Simplify exponents (x²=x·x):

`d=√(64+36)`

Simplify addition:

`d=√(100)`

Find the square root (x·x=√y):

`d=10`

The length of AB is 10 units.

:Done