Step-by-step explanation:
The turning point of a quadratic function is equidistant from both x-intercepts (if they exist)
Since they do exist in this question, 3 + k = 2(0.5), 3 + k = 1, k = -2.
<h3>
Answer: No, they are not similar.</h3>
Technically, we don't have enough info so it could go either way.
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Explanation:
We can see that the sides are proportional to each other, but we don't know anything about the angles. We need to know if the angles are the same. If they are, then the hexagons are similar. If the angles are different, then the figures are not similar.
Right now we simply don't have enough info. So they could be similar, or they may not be. The best answer (in my opinion) is "not enough info". However, your teacher likely wants you to pick one side or the other. We can't pick "similar" so it's best to go with "not similar" until more info comes along the way.
Answer:
It is a cavity.
Step-by-step explanation:
If it is not treated well you may feel pain in your gum.
Answer:
![(x+8)^2 +(y-4)^2 = 25](https://tex.z-dn.net/?f=%20%28x%2B8%29%5E2%20%2B%28y-4%29%5E2%20%3D%2025)
Step-by-step explanation:
Assuming this complete problem: "A cell tower is located at (-8, 4) and transmits a circular signal that covers three major cities. The three cities are located on the circle and have the following coordinates: G (-4, 7), H (-13, 4), and I (-8, -1). Find the equation of the circle"
For this case the generla equation for the circle is given by:
![(x-h)^2 +(y-k)^2 = r^2](https://tex.z-dn.net/?f=%20%28x-h%29%5E2%20%2B%28y-k%29%5E2%20%3D%20r%5E2)
From the info we know that the tower is located at (-8, 4) so then h = -8 and k = 4, so then we need to find the radius. So we have the equation like this:![(x+8)^2 +(y-4)^2 = r^2](https://tex.z-dn.net/?f=%20%28x%2B8%29%5E2%20%2B%28y-4%29%5E2%20%3D%20r%5E2)
If the 3 points are on the circle then satisfy the equation. We can use the first point (-4,7) and if we replace we can find the value for ![r^2](https://tex.z-dn.net/?f=r%5E2)
![(-4+8)^2 +(7-4)^2 =25= r^2](https://tex.z-dn.net/?f=%20%28-4%2B8%29%5E2%20%2B%287-4%29%5E2%20%3D25%3D%20r%5E2)
So then ![r = \sqrt{25}=5](https://tex.z-dn.net/?f=%20r%20%3D%20%5Csqrt%7B25%7D%3D5)
And if we replace the second point we got this:
![(-13+8)^2 +(4-4)^2 = 25 =r^2](https://tex.z-dn.net/?f=%20%28-13%2B8%29%5E2%20%2B%284-4%29%5E2%20%3D%2025%20%3Dr%5E2)
And for the third point we have:
![(-8+8)^2 +(-1-4)^2 = 25 =r^2](https://tex.z-dn.net/?f=%20%28-8%2B8%29%5E2%20%2B%28-1-4%29%5E2%20%3D%2025%20%3Dr%5E2)
And we got the same result.
So then our final equation is given:
![(x+8)^2 +(y-4)^2 = 25](https://tex.z-dn.net/?f=%20%28x%2B8%29%5E2%20%2B%28y-4%29%5E2%20%3D%2025)
Answer: 0.6
Reason: 3 divide by 5 is 0.6