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: 1 1/3
Step-by-step explanation: slope is the difference in y values over the difference in the c values
Answer:
Step-by-step explanation:
2 loaves × (5½ teaspoons)/loaf = 11 teaspoons
He needs 11 teaspoons of cinnamon to make two loaves.
1/11 of 11 teaspoons = 1 teaspoon
He puts 1 teaspoon of cinnamon into his tea.
Answer: x = 40.81 or 41
Step-by-step explanation:
A = B = 21
C = 35
Hypotenuse = x
Calculating Hypotenuse:
21^2 + 35^2 = x^2
=> 441 + 1225 = x^2
=> x^2 = 1666
=> x = 40.81 or 41
The answer will be x=2i,-2i
