<span>n^2+7n+15=5
n^2 + 7n + 10 = 0
(n + 5)(n + 2) = 0
n + 5 = 0
n = -5
n + 2 = 0
n = -2
Answer: n = -5 and -2</span>
Answer:
C = 40.2124
Step-by-step explanation:
The formula for circumference is
C = 2*pi*r
where r is the radius.
Substitute what we know.
C = 2 * pi * 6.4
C = 12.8 * pi
If we use substitute pi in, we get
C = 40.2124
I'll just factor the above equation.
x² + 18x + 80
x² ⇒ x * x
80
can be:
1 x 80
2 x 40
4 x 20
5 x 16
8 x 10 Correct pair
(x+8)(x+10)
x(x+10) +8(x+10) ⇒ x² + 10x + 8x + 80 = x² + 18x + 80
x+8 = 0
x = -8
x+10 = 0
x = -10
x = -8
(-8)² + 18(-8) + 80 = 0
64 - 144 + 80 = 0
144 - 144 = 0
0 = 0
(-10)² + 18(-10) + 80 = 0
100 - 180 + 80 = 0
180 - 180 = 0
0 = 0
I think the algebra tiles will not be a good tool to use to factor the quadratic equation because the equation is not a perfect square quadratic equation.
The only things you can factor out of here is a 3 so you are left with:
3(y-6)
Hope that helps.