Answer:
For f(x) = √(2·x + 2) - √(x + 18), at f(x) = -1 the possible x-values includes;
-0.757, -17.5
Step-by-step explanation:
Given that the function is f(x) = √(2·x + 2) - √(x + 18)
The value of 'x' when f(x) = -1, is given as follows;
-1 = √(2·x + 2) - √(x + 18)
-1² = (√(2·x + 2) - √(x + 18))² = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)
1 = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)
2·√(2·x + 2)×√(x + 18) = 3·x + 20 - 1 = 3·x + 19
2·x² + 38·x + 36 = (3·x + 19)/2
2·x² + 38·x + 36 - (3·x + 19)/2 = 0
4·x² + 73·x + 53 = 0
From which we get;
x = (-73 ± √(73² - 4 × 4 × 53))/(2 × 4)
x ≈ -0.757, and x ≈ -17.5
Answer:
a = -2
Step-by-step explanation:
a + 8/3 = 2/3
a = 2/3 - 8/3
a = -6/3 = -2
105² - 8² = (105-8)(105+8) = 97 * 113
91.8 feet because 1 meter is approximately 3.28 feet and 28x 3.28 is 91.8 :)
Answer:
angle CDE is 10 degree
Step-by-step explanation:
As angle C is 90
Angle E is equal to angle B which is 80 (180-100)
so 90+80+X=180
X=180-170
X=10
