Answer:
6.51
Step-by-step explanation:
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).
= 6.37 * 10^4 = 637 * 10^2 = 63700
In short, Your Answer would be Option A
Hope this helps!
The figure is not attached. So we will assume a rectangle that has sides of lengths 2 cm and width 3 cm and It is enlarged<span> with scale factor 3.
</span><span>The width of the original rectangle must be one-third of the enlarged rectangle.
</span>The lengths of the sides of the enlarged rectangle will be:
<span>3 × 2 cm = 6 cm (Length)
<span>3 × 3 cm = 9 cm (Width)</span></span>
Convert to improper fraction: 2 5/12 = 29/12
Divide 29 by 12: 29/12 = 2.42
2.42 inches