What is the image of (-8,-1) after a reflection over the line y = -x?

Step-by-step explanation:

Reflection of (-8 , -1) over y = -x is (-1 , 8)

Image of (x , y) over the line y = -x is (y, -x)

reflection on the y axis (x,y)=(-x,y)

(-8,-1)=(8,-1)

Step-by-step explanation:

hope this is helpful

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15