A circular plate has a diameter of 18 inches. What is the area of the plate? * A) 81 square inches
B) 81 square inches
C) 18 square inches
D) 9 square inches

254 inches squared

Step-by-step explanation:

Hi there!

where r is the radius of the circle

The radius is equal to half the diameter. Given that the diameter is 18 inches, we know that the radius of the circular plate is 9 inches. Plug this into the equation:

Therefore, the area of the plate is approximately 254 inches squared.

If this is not an answer choice, the question may have been asking for the radius of the circle rather than the area.

I hope this helps!

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