The upper-left coordinates on a rectangle are (-5,6), and the upper-right coordinates are (-2,6). The rectangle has a perimeter of 16 units. Draw the rectangle on the coordinate plane below.

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  see below

Step-by-step explanation:

The sum of length and width is half the perimeter, so is 16/2 = 8 units. The given side has a length of -2-(-5) = 3 units, so the remaining two corners will be 8-3 = 5 units below the points given. Subtracting 5 from each of the y-coordinates puts the remaining corners at (-5, 1) and (-2, 1). The rectangle is drawn in the attachment

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