Question

PLEASE HELP ME I DONT UNDERSTAND

Answer 1

`d=4√(5)`

Explanation:

Write down both endpoint coordinate points:

`(-5,-3)(-1,5)`

Use the distance formula:

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

Insert values:

`d=√((-1-(-5))^2+(5-(-3))^2) \\\\d=√((-1+5)^2+(5+3)^2)`

Simplify parentheses:

`d=√((4)^2+(8)^2)`

Simplify exponents:

`d=√(16+64)`

Add:

`d=√(80)`

Find the square root. Find multiples of 80 that are perfect squares:

`16*5=80\\\\√(16*5)\\\\√(16)*√(5) \\\\`

`d=4√(5)\\\\d=8.94427190...`

:Done