x to the power of 7 reduce the index of the radical and exponent with 2
Answer:
5. x = 39°
6. x = 46°
7. x = 24°
8. x = 19°
Step-by-step explanation:
5.
Base angles are the same due to it being an isosceles triangle
Sum of angles in triangle = 180°
- 2x + 2x + (x - 15) = 180
- 4x + x - 15 = 180
- 5x - 15 = 180
- 5x = 195
- x = 39
6.
Angle VZW and XZW are supplementary, meaning that they add up to 180°
- 3x + 17 + (x - 9) = 180
- 3x + 17 + x - 9 = 180
- 4x + 8 = 180
- 4x = 184
- x = 46°
7.
Sum of angles in a straight line add up to 180°
- (2x - 4) + (3x + 5) + (2x + 11) = 180
- 2x - 4 + 3x + 5 + 2x + 11 = 180
- 7x + 12 = 180
- 7x = 168
- x = 24
8.
All angles add up to 90°
- x + (x + 4) + (3x - 9) = 90
- x + x + 4 + 3x - 9 = 90
- 5x - 5 = 90
- 5x = 95
- x = 19
-Chetan K
(z^4)(z^4) = z^(4+4) = z^8 (these 3 expressions are equivalent).
Answer:
Step-by-step explanation:
1.
To write the form of the partial fraction decomposition of the rational expression:
We have:

2.
Using partial fraction decomposition to find the definite integral of:

By using the long division method; we have:


<u> </u>

So;

By using partial fraction decomposition:


x + 20 = A(x + 2) + B(x - 10)
x + 20 = (A + B)x + (2A - 10B)
Now; we have to relate like terms on both sides; we have:
A + B = 1 ; 2A - 10 B = 20
By solvong the expressions above; we have:

Now;

Thus;

Now; the integral is:


3. Due to the fact that the maximum words this text box can contain are 5000 words, we decided to write the solution for question 3 and upload it in an image format.
Please check to the attached image below for the solution to question number 3.
Answer:
x=82 hope this helps!
Step-by-step explanation:
2+90−=10
2+90−x=102+90-x=102+90−x=10
Solve
1
Add the numbers
2+90−=10
92−=10
2
Rearrange terms
3
Subtract
92
929292
from both sides of the equation
4
Simplify
5
Divide both sides of the equation by the same term
6
Simplify
Solution
2+90−=10
2+90−x=102+90-x=102+90−x=10
Solve
1
Add the numbers
2+90−=10
92−=10
2
Rearrange terms
3
Subtract
92
929292
from both sides of the equation
4
Simplify
5
Divide both sides of the equation by the same term
6
Simplify
Solution
=82