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crtlq
12.01.2021 •
Mathematics
)
What is the measure of
A. 60°
B. 80°
C. 110°
D. 120°
Solved
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Ответ:
A. 60 degrees
Step-by-step explanation:
The sum of the abgles in a triangle is 180°. We are already given 96° and 24°.
so we will subtract the given values from 180 to find the third angle
180-(96+24)=180-120=60°
The answer is A. 60°
Ответ:
Step-by-step explanation:
The standard, factored polynomial function is given by:
Where a is the leading coefficient,
p and q are factors,
And n and m are the powers or multiplicity they are being raised to.
We know that our polynomial function is of degree 4.
We have a root of multiplicity of 2 at x=-2.
So, our factor is:
It is has a multiplicity of 2, it is squared. So:
We have another root with multiplicity of 1 at x=6.
So, our factor is:
And since it is to the first power, we can write it as is.
Finally, we have another root of multiplicity of 1 at x=2.
So, our factor is:
Therefore, our entire function is:
We still have to determine our leading coefficient, a.
We can use that y-intercept. The y-intercept is at (0, 10). So, when x=0, y=10. By substitution:
Evaluate:
Multiply:
Therefore:
Therefore, our final function is: