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).
Answer: y = 3/4x
Step-by-step explanation:
Each y-value output is 3/4 of the x-value inputted.
8 x 0.75 = 6
12 x 0.75 = 9
Remember you can do anything to an equation as long as you do it to both sides
2b+3c=14
minus 3c both sides
2b=14-3c
divide both sides by 2
Answer:
Answer is option d)346.4 ft
Step-by-step explanation:
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