Answers:
Center = (4, 7)
Radius = 7
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Explanation:
The general template of any circle is
(x-h)^2 + (y-k)^2 = r^2
This general circle has these properties:
Based on the equation your teacher gave you, we see that
- h = 4
- k = 7
- r = 7, since 7^2 = 7*7 = 49
Therefore, this circle has center = (4,7) and radius = 7
Side note: The center's y coordinate and radius aren't always the same value.
Y = 5x + 2
3x = y + 10
3x = y + 10
3x = 5x + 2 + 10
3x = 5x + 12
3x - 5x = 12
-2x = 12
x = -6
substitute x = -6 into y = 5x + 2
y = 5(-6) + 2
y = -30 + 2
y = -28
x = -6, y = -28
hope this helped, God bless!
Answer:
3.) ![\displaystyle y - 4 = 4[x - 1]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%204%20%3D%204%5Bx%20-%201%5D)
2.) ![\displaystyle y + 5 = 2[x + 2]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%2B%205%20%3D%202%5Bx%20%2B%202%5D)
1.) ![\displaystyle y + 3 = 1\frac{1}{5}[x + 5]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%2B%203%20%3D%201%5Cfrac%7B1%7D%7B5%7D%5Bx%20%2B%205%5D)
Step-by-step explanation:
In the Point-Slope Formula, ![\displaystyle y - y_1 = m[x - x_1],](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%20y_1%20%3D%20m%5Bx%20-%20x_1%5D%2C)
all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.
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I am joyous to assist you anytime.
Answer: 3.14
Step-by-step explanation: it goes on forever but that is what most people use to calculate with
