Question

PleSeee help ASAP now Tysm

Answer 1

9.055385 rounded to 6 decimal places

Explanation:

The distance between 2 points in a 2_D Cartesian coordinate can be determined by the distance formula

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

where
`(x_1, y_1) \mathrm{\;and\:} (x_2, y_2)` are the coordinates of the two points

This is also called Euclidean distance between the two points

Here coordinates of B are (-4, 6) and those of D are (-3, -3)

So distance between them

`d = \sqrt {(-3 - (-4))^2 + (-3 - 6)^2}`

`= \sqrt {(1)^2 + (-9)^2}`

`= \sqrt {{1} + {81}}`

`= \sqrt {82}`

`= 9.055385` rounded to 6 decimal places

Answer 2

BD =
`√(82)`

Explanation:

calculate BD using the distance formula

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

with (x₁, y₁ ) = B (- 4, 6 ) and (x₂, y₂ ) = D (- 3, - 3 )

BD =
`√((-3-(-4))^2+(-3-6)^2)`

=
`√((-3+4)^2+(-9)^2)`

=
`√(1^2+81)`

=
`√(1+81)`

=
`√(82)`

≈ 9.1 ( to 1 dec. place )