Answer:
√3
Step-by-step explanation:
2√27 + √12 − 3√3 − 2√12
2√27 − √12 − 3√3
2√(9×3) − √(4×3) − 3√3
2×3√3 − 2√3 − 3√3
6√3 − 2√3 − 3√3
√3
Since this is an equilateral triangle, TV=VX. You can set TV equal to VX to solve for the value of x. The expression would be 10x-26=5x+9. Subtract 5x from both sides to get 5x-26=9. Add 26 to both sides to get 5x=35. Lastly, divide by 5 to get x=7.
So, your answer would be 7 degrees. Hope this helps!
Answer:
1
Step-by-step explanation:
The first step is to understand what the integrand looks like. (See the graph below.)
It is -1 for x < 0 and +1 for x > 0. Thus, the value of this integral is ...

_____
Essentially, you treat the absolute value as a piecewise linear function. This is the same way you treat an absolute value in any equation or inequality.
Here, this means you divide the integral into two parts: one where the integrand is -x/x, and one where it is +x/x.
Answer:
x = - 3 ± 
Step-by-step explanation:
x² + 6x + 7 = 0 ( subtract 7 from both sides )
x² + 6x = - 7
using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = - 7 + 9
(x + 3)² = 2 ( take square root of both sides )
x + 3 = ±
( subtract 3 from both sides )
x = - 3 ± 