$y=x^2-14x+49=\underbrace{x^2-2x\cdot7+7^2}_{use\ (a-b)^2=a^2-2ab+b^2}=(x-7)^2\\\\Vertex\ form\ of\ a\ quadratic\ function:\\\\y=a(x-h)^2+k\ where\ coordinates\ of\ the\ vertex\ (h;\ k)\\\\\boxed{vertex:(7;\ 0)}\\\\x-intercept\ (y=0):\\\\(x-7)^2=0\iff x-7=0\Rightarrow \boxed{x=7}\\\\\\Answer:\\\\x-intercept:(7;\ 0)\\\\the\ coordinates\ of\ the\ vertex:(7;\ 0)$

7 0

4 years ago

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In basketball, some baskets are worth two points. Others are worth three points. In one game, the ratio of three-point baskets t

Mrrafil [7]

Now in this scenario, they scored 45 points from three-point baskets. This means they got 15 baskets. Now we can convert this into ratio form and solve using cross multiplication:

5/7=15/x

5x=15*7

x=21

They had 21 three point tries. Hope this helps :) lmk if you need more help.

8 0

3 years ago

What kind of triangle is ABC? Select all that apply.

iVinArrow [24]

This is a right triangle. If the triangle were laid down, on an end, a right angle would be visible.

4 0

2 years ago