<h3>Answer: </h3>
The GCF is 4
The polynomial factors to 
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Further explanation:
Ignore the x terms
We're looking for the GCF of 12, 4 and 20
Factor each to their prime factorization. It might help to do a factor tree, but this is optional.
- 12 = 2*2*3
- 4 = 2*2
- 20 = 2*2*5
Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.
We can then factor like so
The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.
The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).
<span>You are given the function of y=arcsin 0.9659 and you are asked to find the general solution of the function. In order to do that, you have to derive the given function. the answer would be 1/sqrt(1.035^2 + x^2)</span>
If the 2 lines are parallel, their slopes are the same.
The slope of both is
3+3
m = ---------- = 3
2 - 0
If the new line <span>passes through the point (−1, −1), then the equation in point slope form is:
y+1 = 3(x+1).</span>
Answer:
Volume=24+192=216
Step-by-step explanation:
Pink Rectangle:
LxWxH
3x1x8
3x8
24
24+192=216
Hope this helps!
First you subtract the two equations
x^2-2x+3-6x
You simplify that and get
x^2+4x+3 = 0
Now we solve using the quadratic formula.
We get x = -1 and x = -3.
Now we find the y values by plugging the x values into the equation.
f(x) is the same as y.
y = (-1)^2 - 2(-1) + 3
y = 1+2+3
y = 6
Now for the other x value.
y = (-3)^2 - 2(-3) + 3
y = 9+9
y = 18
So the two ordered pairs are (-1,6) and (-3,18)
