Find the area of the following shape. You must show all work to receive credit. shape with vertices located at negative 4 comma 0, 0 comma 4, 2 comma 2, negative 1 comma 2, and negative 1 comma 0

12

Step-by-step explanation:

Graphing the points, it appears that given points (-4,0),(0,4) and the origin (0,0) would form a right triangle of base length 4 and height length 4, so area = 1/2 * base * height = 8

Given points (0,4), (2,2) and (1,2) and point (0,2) would form a right triangle of base length 2 and height 2 so area = 1/2 * 2 * 2 = 2.

Given points (1,2) and (1,0) plus points (0,0) and (0,2) would form a 1 x 2 rectangle of area 2.

total area = 8 + 2 + 2 = 12

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

the answer is c.

step-by-step explanation: