The evaluation of the algebraic fraction x+2x+1/x^2-25 is
<h3>What is the division of algebraic expression?</h3>
The division of an algebraic expression can be carried out by using the long division method or expansion of the.
Given that:
where:
By expanding the denominator, we have:
Creating a partial fraction from the denominator, we have:
Multiply the equation by the denominator, and we have:
Simplifying, we have:
3x + 21 = a₀(x-5)+a₁(x+5)
Solve for the unknown parameter by plugging the real roots of the denominator: -5, 5
Replacing the solutions into the partial fractions parameters to obtain the final result, we have:
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Answer:
3, 15, 14
Step-by-step explanation:
x + 5x + ( 5x -1) = 32
11x - 1 = 32
11x = 32 + 1
11x = 33
11x/11 = 33/11
x = 3
therefore
the first number is 3
the second is 5 × 3 = 15
the third number is 15 - 1 = 14
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Answer:
x=7, y=-7
Step-by-step explanation:
3x – y = 28
3x + y = 14
Add the two equations together
3x – y = 28
3x + y = 14
---------------------
6x = 42
Divide by 6
6x/6 = 42/6
x = 7
3x – y = 28
3x + y = 14
Multiply the second equation by -1, then add
3x – y = 28
-3x - y = -14
-------------------
-2y=14
Divide by -2
-2y/-2 = 14/-2
y = -7
Answer:
35.68°
Step-by-step explanation:
In the picture attached, the triangle is shown.
From sine definition:
sin(y) = opposite/hypotenuse
The leg measuring 7 units is opposite to angle y, and the hypotenuse measures 12 units, therefore:
sin(y) = 7/12
y = arcsin(7/12)
y = 35.68°