Question

Please show all work and not just the answers.

Answer 1

√113

Explanation:

B(3,5) , A(-4,-3)

distance between 2 points : d

d=√(x2-x1)²+(y2-y1)²

d=√(3-(-4)²+(5-(-3)²

d=√7²+8²

d=√49+64

d=√113

Answer 2

√113

Explanation:

As per distance formula:

• d =
  `√((x2-x1)^2 + (y2-y1)^2)`

Points are:

• A(-4, -3) and B(3,5)

So the distance:

• d =
  `√((3+4)^2 + (5+3)^2)` =
  `√(7^2 + 8^2)` =
  `√(49+64) = √(113)`

Answer is √113