The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
{country albums}:{jazz albums}=2:3
3{country albums} = 2{jazz albums}
{country albums} + {jazz albums} = 45
{jazz albums} = 45 - {country albums}
3{country albums} = 2(45 - {country albums})
3{country albums} = 90 - 2{country albums}
5{country albums} = 90
{country albums} = 18
I got this answer from the link:
brainly.com/question/2165977?entry=7190 I give them credit for this, as they were the original. For future reference, you can search your question at the top, and if someone has already answered that question and it is the same as yours, than you can use that, and thank them, etc. I hope this helps!<span />
Answer:
QR / SQ = SQ / TQ
Step-by-step explanation:
∠QST = 90 - ∠Q
∠R = 90 - ∠Q
∠QST = ∠R
ΔQST ~ ΔQRS
SQ / TQ = QR / SQ
your answer is A because its the parallelogram
