A 30−60−90 triangle has a longer leg with length 53√4 and a hypotenuse with length 5/2 . What is the length of the shorter leg?
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If a polynomial p(x) is divisible by q(x), the roots of q(x) are roots of p(x), too.
In this question, p(x)=x³+6x²+kx+12 and q(x)=x+4. Clearly, the root of q(x) is -4. By what was written initially, -4 is a root of p(x). So:
In this question, p(x)=x³+6x²+kx+12 and q(x)=x+4. Clearly, the root of q(x) is -4. By what was written initially, -4 is a root of p(x). So:
Answer:
Step-by-step explanation:
Given:
First, we have that the line is parallel to RS.
This means that the line has the same slope as RS and the slope of RS is calculated as follows:
So, the line has a slope of
Next, we have that the line passes through .
The equation of the line is then calculated using the following formula
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