<u>Answer:</u>
- The length of BC is 25 units.
<u>Step-by-step explanation:</u>
<u>We know that the triangle is an isosceles triangle. Hence, we know that AB = AC. Let's first solve for x.</u>
- => 4x + 1 = 2x + 23
- => 4x - 2x = -1 + 23
- => 2x = 22
- => <u>x = 11</u>
<u>Now, let's substitute the value into the expression.</u>
- => 3x - 8
- => 3(11) - 8
- => 33 - 8
- => <u>25</u>
<u>Hence,</u><u> the length of BC is 25 units.</u>
Hoped this helped.

Answer:
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Step-by-step explanation:
The partial fraction decomposition is 
<h3>How to determine the decomposition?</h3>
The fraction is given as:

Split the fraction as follows:

Take the LCM

Cancel the common factors
8x + 19 = Ax - A + Bx + 8B
By comparison, we have:
Ax + Bx = 8x
-A + 8B = 19
This gives
A + B = 8
-A + 8B = 19
Add both equations
9B = 27
Divide by 9
B = 3
Substitute B = 3 in A + B = 8
A + 3 = 8
Solve for A
A = 5
So, we have:

Hence, the partial fraction decomposition is 
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Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
x + 8 = 17
Step 2: Solve for <em>x</em>
- Subtract 8 on both sides: x = 9
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
9 + 8 = 17
17 = 17