Question

Use the Distance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from T(2, –2) to W(–7, 3).

Answer 1

10.3 units

Explanation:

coordinate points are

T(2, -2) =(x1 , y1)

W(-7, 3) =(x2 , y2)

distance formula =
`√((x2 -x1)^2 + (y2 -y1)^2)`

=
`\sqrt{(-7-2)^2 + {3-(-2)}^2`

=
`\sqrt{(-9)^2 + (3+2)^2`

=
`\sqrt{81 + 5^2`

=
`\sqrt{81 + 25`

=
`\sqrt{106`

=10.29563014

=10.3 (after converting it to the nearest tenth)