Question

Can someone do this for me? ​

Answer 1

a = ± 2

Explanation:

Use the distance formula to calculate XY, then equate to 10

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

with (x₁, y₁ ) = X(a -5, - 2a) and (x₂, y₂ ) = Y(a + 1, 2a)

XY =
`√((a +1-(a-5))^2+(2a-(2a))^2\\)`

=
`√((a+1-a+5)^2+(4a)^2)`

=
`√(6^2+16a^2)` , then

`√(36+16a^2)` = 10 ( square both sides )

36 + 16a² = 100 ( subtract 36 from both sides )

16a² = 64 ( divide both sides by 16 )

a² = 4 ( take the square root of both sides )

a = ±
`√(4)` = ± 2

Answer 2

9a6

Explanation:

23-34 a + 1