When the son is 8, the father is five times that so 8*5 = 40, difference between their ages is 32
twice as old 32*2 = 64
The father will be 64.
The dimensions of the prism can be 2x, 2x+3 and x+6.
We first factor out the GCF of the trinomial. The GCF of the coefficients is 2. Each term has an x in common as well, so the GCF is 2x.
Factoring out the 2x, we have
2x(2x²+15x+18).
To factor the remaining trinomial, we find factors of 2*18=36 that sum to 15. 12*3 = 36 and 12+3 = 15. We split up 15x into 12x and 3x:
2x(2x²+12x+3x+18)
Now we group together the first two terms in parentheses and the last two:
2x((2x²+12x)+(3x+18))
Factor out the GCF of the first group:
2x(2x(x+6)+(3x+18))
Factor out the GCF of the second group:
2x(2x(x+6)+3(x+6))
Factoring out what these have in common,
2x(x+6)(2x+3)
Theres a saying: Dividing fractions dont ask why, just flip the second and multiply.
so a/b / c/d = a/b * d/c
-8/2 * -3/6
1. cross - cancel common factor 2
4/2 * -3/3
2. Multiply
-4(-3)/ 2*3
3. multiply numbers
--12/2*3
- -12/6
4. Apply fraction rule -a/b=- a/b
=-(-12/6)
5. divide
= -(-2)
6. Apply rule -(-a)=a
=2
Your answer would be 2
if those are fractions being five and two thirds etc... I believe it would be 17/6. if you convert to improper fractions and then get a common denominator to subtract that should do it. Hope that helps.
By simple substitution on the left side and on the right side of the given equation, we have to
For <span>coordinates (-3,-9)
-9</span><span>=−8|-3+3|−9
-9</span><span>=−8|0|−9
</span> -9=−9
Therefore, it is demonstrated that<span> the coordinates of the vertex is
(-3,-9)</span>
