Maria is enclosing a triangular pen with wire fencing. Two sides of the pen measure 14 ft and 8 ft in length. Which inequality describes the possible length.
A. 14> x > 8
B. 22>x> 6
C. 8< x < 14
D. 6 < x < 22

D. 6 < x < 22

Step-by-step explanation:

For a triangle, the third side must be less than the sum of the other two sides and it must greater than the difference between the other two sides.

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