Answer:
1/4 ( p - 1/4 q^2).
Step-by-step explanation:
p/4 - q2/16
The greatest common factor is 1/4 so we have the answer:
1/4 ( p - 1/4 q^2).
The correct answer is: [D]: "5 (five)" .
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<u>Note</u>: The term of "degree 8" is the term with a variable with
an exponent of "8" ; which in this case is " + 5x⁸ ".
The "coefficient" is "5" (five).
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1 minute = 60 seconds
300 seconds / 60 seconds = 5 minutes
Answer:
-1 / x + (x + 1) / (x² + 3)
Step-by-step explanation:
(x − 3) / (x (x² + 3))
There are two factors in the denominator, so split this into two fractions with unknown numerators:
A / x + (Bx + C) / (x² + 3)
Combine back into one fraction:
(A (x² + 3) + (Bx + C) x) / (x (x² + 3))
Now equate this numerator with the original:
A (x² + 3) + (Bx + C) x = x − 3
Ax² + 3A + Bx² + Cx = x − 3
(A + B) x² + Cx + 3A = x − 3
Match the coefficients:
A + B = 0
C = 1
3A = -3
Solve:
A = -1
B = 1
C = 1
Therefore, the partial fraction decomposition is:
-1 / x + (x + 1) / (x² + 3)
Here's a graph showing that the two are the same:
desmos.com/calculator/hrxfnijewh
Answer: 52.489…
Step-by-step explanation:
Angle of elevation is 58 degrees, and the opposite value is 84 feet, so you’re lookin g for adjacent. That means you’ll use tangent to solve this equation:
Tan(58)=84/x