Which figure represents the image of parallelogram LMNP after a reflection across the line y = x? figure A
figure B
figure C
figure D

correct choice is option 3 - figure C.

Step-by-step explanation:

Using the reflection rule, you can find coordinates of image points: L'(1,3), M'(3,4), N'(3,5) and P'(1,4). As you can see, these are coordinates of vertices of the figure C

Option 3

Answered by Gauthmath must click thanks and mark brainliest

college

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