Answer:
3 − √11
Step-by-step explanation:
For polynomials with rational coefficients, any radical roots must come in conjugate pairs. To find the conjugate, simply reverse the sign of the radical.
Answer:
<em>The required values are a = 29°, b = 20°</em>
Step-by-step explanation:
<u>Angles and Lines</u>
The image shows two lines crossing at a point where three angles are marked: 57°, 7b-17, and 2a-1.
It can be noted that 57° and 7b-17 are linear angles whose sum is 180°:
57° + 7b - 17° = 180°
Solving for b:
7b = 180° + 17° - 57°
7b = 140°
b = 140°/7 = 20°
b = 20°
It can also be noted that 57° and 2a-1 are vertical angles (opposite angles). Vertical angles are congruent, thus:
57° = 2a - 1°
Adding 1:
2a = 58°
a = 29°
The required values are a = 29°, b = 20°
Answer:
x=-4
Step-by-step explanation:
sqrt(x+40) - 17 = -11
Add 17 to each side
sqrt(x+40) - 17+17 = -11+17
sqrt(x+40) = 6
Square each side
(sqrt(x+40) )^2 = 6^2
x+40 = 36
Subtract 40 from each side
x+40-40 = 36-40
x = -4
Answer is 9. 20% can be looked at as 1/5 and 9 multiplied by 5 is 45 so the answer is nine.