Answer:
p= 4/5
Step-by-step explanation:
9p-3p-2p+p=7-3
5p= 4
p= 4/5
Answer:
<h2>No solution, as value of x doesn't exist.</h2>
Answer:
rational
Step-by-step explanation:
Answer:
5 (x-2) (x²+2x+4)
Step-by-step explanation:
Stating with 5x³ - 40, the want to simplify the x part by extracting the common factor, so
5x³ - 40 = 5(x³-8)
Now to factor x³-8, we can rewrite it in the format x³-2³, right?
And there's a formula to obtain x³-y³, which is the Difference of Cubes formula that goes like this: x³-y³= (x-y)(x²+xy+y²)
So, we apply this formula replacing the y with our value of 2:
x³-2³= (x-2)(x²+2x+2²) = (x-2)(x²+2x+4)
So, overall, we have 5x³ - 40 = 5 (x-2) (x²+2x+4)
From the text you can derive the following equations:
(1) A = bh/2 = 8
(2) and h = b+6
Fill in h in (1):
b(b+6)/2 = 8 => b^2 + 6b = 16 with the quadratic formula or simply trying some values for b you can find b=2, so h=8.
