Find the area of the trapezoid

   = 48 units ^2

Step-by-step explanation:

We know the area of a trapezoid is found by

A = 1/2 (b1+b2) *h  where b1 and b2 are the bases and h is the height

AT and SR are the bases and AT = 8 and SR =4

The height is 8

A = 1/2 (8+4) * 8

A = 1/2 * (12) * 8

   =48 units ^2

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