Step-by-step explanation:
x^2+(x+9)^2=90
x^2+(x+9)^2-90=0
x^2+x^2+9^2+2*x*9-90=0
x^2+x^2+81+18x-90=0
2x^2+18x-9=0
Vertex form is
where (h,k) is the vertex.
We can see that the vertex of the graph is at (2,0), and that the graph opens downwards, but does not look stretched at all.
Therefore,
a = -1
h = 2
k = 0
and our vertex form equation is
which is answer A
DE equals 7.
Because it is the same length of BE.
Answer:
She has 23 nickles and 5 dimes.
Step-by-step explanation:
Let n = the number of nickles and d = the number of dimes.
The number of each = 28. Set up the equation:
n + d = 28
Solve for n:
n = 28 - d
The total amount is $1.65 or 165 cents:
5n + 10d = 165
Substitute:
5(28 - d) + 10d = 165
140 - 5d + 10d = 165
140 + 5d = 165
5d = 165 - 140
5d = 25
d = 5, the number of dimes.
Solve for n:
n = 28 - d
n = 28 - 5 = 23, the number of nickles.
Proof:
5n + 10d = 165
5(23) + 10(5) = 165
115 + 50 = 165
165 = 165
Hope this Helps! Have an Awesome Day!! (-:
Answer: q = 8
Step-by-step explanation: Isolate your variable by dividing each side of the equation by factors that do not contain any variable.
I hope this helps you out. :)