2What is the diameter of this circle if the circumference is 30 inches?
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Answer:
Step-by-step explanation:
We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.
the distance formula is generally written as:
for the side AB: A(-2,2,3) and B(4,-4,3)
for the side BC: B(4,-4,3) and C(7,6,4)
for the side CA: C(7,6,4) and A(-2,2,3)
Now we all the sidelengths:
to find the perimeter we need to just sum the three side lengths:
this is the perimeter of triangle ABC
First step of a synthetic divison is that we need to carry down the leading coefficient. Here the leading coefficient is 2. So, carry down 2 at the bottom.
Next step is to multiply the divisor -3 with this carry down number 2. So, we have got 3*(-2)= -6 which will place atthe bottom of the next coefficient 4.
Next step is to add this column.
Now repeat the same method again till the last colum.
At the end we have got 0 after the addition. Which means the remainder is 0.
So, the quotient is 2x^2-2x+2.
