Question

Can someone do this for me? ​

Answer 1

Answer:

9a6

Step-by-step explanation:

23-34 a + 1

Answer 2

Answer:

a = ± 2

Step-by-step 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 = $\sqrt{(a +1-(a-5))^2+(2a-(2a))^2\\}$

     = $\sqrt{(a+1-a+5)^2+(4a)^2}$

     = $\sqrt{6^2+16a^2}$ , then

$\sqrt{36+16a^2}$ = 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 = ± $\sqrt{4}$ = ± 2