Question

Can someone please help

Answer 1

hypotenuse ≈ 7.6 units

Explanation:

calculate the length using the distance formula

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

with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (2, 4) ← endpoints of hypotenuse

d =
`√((2-(-1))^2+(4-(-3))^2)`

=
`√((2+1)^2+(4+3)^2)`

=
`√(3^2+7^2)`

=
`√(9+49)`

=
`√(58)`

≈ 7.6 ( to the nearest tenth )

Answer 2

7.62

Explanation:

3 x 3 = 9, 7 x 7 = 49, 49 + 7 = 58. Square root of 58 = 7.62