Differentiate both sides with respect to 
, treating 
as a function of :
At the point (0, 0), the derivative is
Hey there!
You can factor this by splitting the middle term.
First, you'll multiply the coefficient of the first term (x²) by the constant (–45). Since the first coefficient is just 1, this number will just be –45.
Next, find the two factors of –45 that add up to your middle term. Here's some factors of –45:
–45*1 = –45
–1*45 = –45
–15*3 = –45
–3*15 = –45
–9*5 = –45
–5*9 = –45
All you need to do is see which one adds up to +12:
–45 + 1 = –44
–1 + 45 = +44
–15 + 3 = –12
–3 + 15 = +12
–9 + 5 = –4
–5 + 9 = +4
You'll use –3x and 15x instead of 12x in your equation. Your equation should be x² – 3x + 15x – 45.
Then, split this polynomial into two binomials, (x² – 3x) and (15x – 45). Factor out any GCFs you see. Both of the binomials in parentheses after this step should be the same.
(x² – 3x)(15x – 45)
x(x – 3)*15(x – 3)
Lastly, just rearrange your equation. One binomial will be just your GCFs, the other will be the binomial in the parenthesis (there will only be one).
(x + 15)(x – 3)
This is your final factorization. Hope this helped you out! :-)
Answer:
D. t = -1
step-by-step explanation:
that side should be 180 degrees and the whole is 360 but we are only measuring half
so (20t + 5) = 15t
-20t -20t
5 = -5t
/-5 /-5
-1 = t
Answer:
16π + 64
Step-by-step explanation:
So the whole circumference is 64π
A quarter is 16π
Then you just have to account for the two radii.
16π + 64
Step-by-step explanation:
x³ - 4x = 0
x (x² - 4) = 0
x (x + 2) (x - 2) = 0
Thus the answer is (b) (-2 , 0) , (0 , 0) , (2 , 0)
