Answer:
x = 2.
Step-by-step explanation:
5[3(x + 4) − 2(1 − x)] − x − 15 = 14x + 55
5[3x + 12 - 2 + 2x] - x - 15 = 14x + 55
5[5x + 10] - x - 15 = 14x + 55
25x + 50 - x - 15 = 14x + 55 Now we subtract 14x from both sides:
25x + 50 - x - 15 - 14x = 14x - 14x + 55
10x + 50 - 15 = 55 Now we subtract 50, add 15 to both sides:
10x + 50 - 50 - 15 + 15 = 55 - 50 + 15
10x = 20
x = 2.
Answer:
D = 0; one real root
Step-by-step explanation:
Discriminant Formula:

First, arrange the expression or equation in ax^2+bx+c = 0.

Add both sides by 9.

Compare the coefficients so we can substitute in the formula.

Substitute a = 1, b = 6 and c = 9 in the formula.

Since D = 0, the type of solution is one real root.
Answer:
127.17cm²
Step-by-step explanation:
Area of a semicircle: πr² ÷ 2
d = 18
r = 18/2 = 9
Area of a semicircle: 9²π ÷ 2 = 127.17cm²