Question

Find the distance between each pair and points (-4,6) (3,-7)

Answer 1

`d =√(218)`

Explanation:

`d =√(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2)\\\\(-4,6)=(x_1,y_1)\\ (3,-7)=(x_2,x_1)\\\\d = √(\left(3-\left(-4\right)\right)^2+\left(-7-6\right)^2)\\\\d = √((3+4)^2+(-7-6)^2) \\\\d = √((7)^2 +(-13)^2)\\ \\d = √(49+169) \\\\d = √(218) \\\\Decimal = 14.7648\\=14.8`