Answer is going by -6, so C
Dy/dx=25, 35, 45, 55
d2y/dx2=10,10,10 (this constant just proves that it is a quadratic relation)
Now we can set up a system of equations for ax^2+bx+c
16a+4b+c=80, 9a+3b+c=45, 4a+2b+c=20 getting differences
7a+b=35, 5a+b=25 and again
2a=10, a=5, making 7a+b=35 become:
7(5)+b-35, b=0, making 4a+2b+c=20 become:
4(5)+2(0)+c=20, c=0 so
y=5x^2
So the constant of variation for this quadratic is 5.
47/4 is your final answer
If you are looking for the anwser it's 2,040
Answer:
(if its a true or false question) True
Step-by-step explanation:
<u>We know-</u>
<u>Area of a circle = </u>
A=(π)r2
<u>Circumference of a circle = </u>
C=2(π)r
<u>Where pi is a constant and r is the radius of the circle.</u>
<u>Using these two formulas we can express A in terms of C as follows:</u>
<u />
c2=[2(π)r]2
⇒ c2=4[(π)2]r2 ⇒ c2=4(π)[(π)r2]
As (π)r2=A ⇒c2=4(π)A
<u>Therefore:</u>
A=c2/4(π)
