Answer:
f(x) = x^2 (x + 7i)(x - 7i)
Step-by-step explanation:
Factoring out x^2 gives ...
f(x) = x^2(x^2 +49)
The factor with 49 can be considered to be the difference of two squares, where one of the squares is -49. Then its square root is ±7i, and the factorization of that term is ...
x^2 +49 = (x +7i)(x -7i)
So, the overall factorization of f(x) is ...
f(x) = x^2(x +7i)(x -7i)
Answer:
Solution given:
a = 12, b = 5, c = 9
We have
: a² = b² + c² – 2bc cos A
12²=5²+9²-2×5×9 cos A
12²-25-81=-90 cos A
cos A=38/-90
A=cos -1(-19/45)
<u>A=115</u>°
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Using the angle addition theorem, the measure of angle 2 in the given diagram is: m∠2 = 35°
<h3>What is the Angle Addition Theorem?</h3>
Based on the angle addition theorem, the sum of two smaller angles that make up a bigger angle equals the sum of the bigger angle.
Given the following:
m∠EBC = m∠EBD + m∠2 [angle addition theorem]
Substitute
55 = 20 + m∠2
m∠2 = 55 - 20
m∠2 = 35°
Learn more about the angle addition theorem on:
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Answer:
x = -25/3
Step-by-step explanation:
Start with the given equation: (-3/5)x + 2 = 7.
We must isolate x. Here we have 2 added to (-3/5)x; the inverse operation would be subtraction of 2 from both sides. This results in:
(-3/5)x = 5.
Now, in (-3/5)x, we have division by 5. The inverse of division is multiplication. So, we multiply both sides of (-3/5)x = 5 by 5, obtaining
-3x = 25.
We want x alone. Here x has been mult. by -3. The inverse op. would be division of -3x = 25 by -3.
Performing this division, we get x = -25/3.
Answer:
d
Step-by-step explanation:
