6 is Terminating
A repeating number would be 6.6666666666666666...
perpendicular lines are negative reciprocals of each other so if line p has a slope of 2 then line q has a slope of -1/2.
:)))
Answer:
See below
Step-by-step explanation:
<u>Part A</u>
Remember that x-intercepts are located where y=0:
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and ![x=-\frac{1}{4}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B1%7D%7B4%7D)
<u>Part B</u>
Since the leading coefficient, -16, is negative, the parabola will open downward, making the vertex a maximum. We can determine the x-coordinate of the vertex using
and plug it into the function to find the y-coordinate:
![x=-\frac{b}{2a}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7Bb%7D%7B2a%7D)
![x=-\frac{60}{2(-16)}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B60%7D%7B2%28-16%29%7D)
![x=-\frac{60}{-32}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B60%7D%7B-32%7D)
![x=\frac{60}{32}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B60%7D%7B32%7D)
![x=\frac{15}{8}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B15%7D%7B8%7D)
Now we find the y-coordinate given the x-coordinate:
![f(x)=-16x^2+60x+16](https://tex.z-dn.net/?f=f%28x%29%3D-16x%5E2%2B60x%2B16)
![f(\frac{15}{8})=-16(\frac{15}{8})^2+60(\frac{15}{8})+16](https://tex.z-dn.net/?f=f%28%5Cfrac%7B15%7D%7B8%7D%29%3D-16%28%5Cfrac%7B15%7D%7B8%7D%29%5E2%2B60%28%5Cfrac%7B15%7D%7B8%7D%29%2B16)
![f(\frac{15}{8})=-16(\frac{225}{64})+\frac{900}{8}+16](https://tex.z-dn.net/?f=f%28%5Cfrac%7B15%7D%7B8%7D%29%3D-16%28%5Cfrac%7B225%7D%7B64%7D%29%2B%5Cfrac%7B900%7D%7B8%7D%2B16)
![f(\frac{15}{8})=\frac{-3600}{64}+\frac{225}{2}+16](https://tex.z-dn.net/?f=f%28%5Cfrac%7B15%7D%7B8%7D%29%3D%5Cfrac%7B-3600%7D%7B64%7D%2B%5Cfrac%7B225%7D%7B2%7D%2B16)
![f(\frac{15}{8})=\frac{-225}{4}+\frac{225}{2}+16](https://tex.z-dn.net/?f=f%28%5Cfrac%7B15%7D%7B8%7D%29%3D%5Cfrac%7B-225%7D%7B4%7D%2B%5Cfrac%7B225%7D%7B2%7D%2B16)
![f(\frac{15}{8})=\frac{-225}{4}+\frac{450}{4}+\frac{64}{4}](https://tex.z-dn.net/?f=f%28%5Cfrac%7B15%7D%7B8%7D%29%3D%5Cfrac%7B-225%7D%7B4%7D%2B%5Cfrac%7B450%7D%7B4%7D%2B%5Cfrac%7B64%7D%7B4%7D)
![f(\frac{15}{8})=\frac{289}{4}](https://tex.z-dn.net/?f=f%28%5Cfrac%7B15%7D%7B8%7D%29%3D%5Cfrac%7B289%7D%7B4%7D)
Therefore, the coordinates of the vertex are
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<u>Part C:</u>
Notable points of a quadratic function include its x-intercepts, y-intercept, and vertex. Plotting these points on a graph help to visualize what the resulting graph of the function looks like. I've attached a graph with the function and the notable points for you to see.
Answer: s = 180 °
Step-by-step explanation:
Arc AC has that many degrees. If the angle is ABC, where B is also on the circle, this is called an inscribed angle, with vertex (its”point”) at B. Now, arc AC will have exactly twice the degree measure of angle ABC. That is a theorem in geometry textbooks, which has been known for about 2500 years!
Estimate is <span>roughly calculate or judge the value, number, quantity, or extent of </span>the answer is 13,000