Answer:
- 8
Step-by-step explanation:
8( - 4 + 3)
- 32 + 24
- 8
Put the equation in standard linear form.

Find the integrating factor.

Multiply both sides by
.

Now the left side the derivative of a product,

Integrate both sides.

On the right side, integrate by parts.

Solve for
.

Answer:
Option C:
Step-by-step explanation:
Hello!
The sum of all angles in a triangle is 180°.
Add up all the angles and solve for x by setting the equation to 180°.
<h3>Solve for x</h3>
- ∠a + ∠b + ∠c = 180°
- (48 - x)° + (9x - 38)° + 90° = 180°
- 10° + 8x + 90° = 180°
- 8x = 180° - 90° - 10°
- 8x = 80°
- x = 10°
Now that we solved for x, we can plug it back into each equation to solve for each angle.
<h3>Angle A</h3>
<h3>Angle B</h3>
- 9x - 38°
- 9(10°) - 38°
- 90° - 38°
- 52°
<h3>Angle C</h3>
The answer is Option C:
Answer:
503
Step-by-step explanation:
For an arithmetic sequence, the n-th term is found by

To find
(the common difference) we can simply subtract one of the terms by the last, for example:

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

We also have to know that
stands for the first term of the sequence, which in this case is 311.
Now that we know this, let's find the 32nd term

Good luck!