Answer:
x = 8.2
Step-by-step explanation:
Answer:
The equation
represents the equation of the parabola with focus (-3, 3) and directrix y = 7.
Step-by-step explanation:
To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).
Using the distance formula
, we find that the distance between (x, y) is
![\sqrt{(x+3)^2+(y-3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x%2B3%29%5E2%2B%28y-3%29%5E2%7D)
and the distance between (x, y) and the directrix y = 7 is
.
On the parabola, these distances are equal so, we solve for y:
![\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x%2B3%29%5E2%2B%28y-3%29%5E2%7D%3D%5Csqrt%7B%28y-7%29%5E2%7D%5C%5C%5C%5C%5Cleft%28%5Csqrt%7B%5Cleft%28x%2B3%5Cright%29%5E2%2B%5Cleft%28y-3%5Cright%29%5E2%7D%5Cright%29%5E2%3D%5Cleft%28%5Csqrt%7B%5Cleft%28y-7%5Cright%29%5E2%7D%5Cright%29%5E2%5C%5C%5C%5Cx%5E2%2B6x%2By%5E2%2B18-6y%3D%5Cleft%28y-7%5Cright%29%5E2%5C%5C%5C%5Cx%5E2%2B6x%2By%5E2%2B18-6y%3Dy%5E2-14y%2B49%5C%5C%5C%5Cy%3D%5Cfrac%7B-x%5E2-6x%2B31%7D%7B8%7D)
Answer:
5s + 5m
5(10) + 5(-15)
50 - 75 = -25 points
Step-by-step explanation:
s = sanked baskets = 10
m = missed baskets = -15
1. 9/15 and 10/15
2. 7/9 and 6/9
3. 16/24 and 3/24
4. 3/12 and 8/12
5. 25/30 and 18/30
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