Answer:
The answer to your question is: (4, -1)
Step-by-step explanation:
M = midpoint (-1, 1)
A = (-6, 3)
B = (x, y)
![xm = \frac{x1 + x }{2}](https://tex.z-dn.net/?f=xm%20%3D%20%5Cfrac%7Bx1%20%2B%20x%20%7D%7B2%7D)
x = 2xm - x1
x = 2(-1) + 6
x = -2 + 6
x = 4
![ym = \frac{y1 + y }{2}](https://tex.z-dn.net/?f=ym%20%3D%20%5Cfrac%7By1%20%2B%20y%20%7D%7B2%7D)
y = 2ym - y1
y = 2(1) - 3
y = 2 - 3
y = -1
Answer:
D = -6, E = -8 , F = 0
Step-by-step explanation:
standard form = ![x^{2} + y^{2} + Dx + Ey + F = 0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20%2B%20Dx%20%2B%20Ey%20%2B%20F%20%3D%200)
now, when circle passes through (3,-1);
⇒ ![3^{2} + (-1)^{2} + D(3) + E(-1) + F = 0](https://tex.z-dn.net/?f=3%5E%7B2%7D%20%2B%20%28-1%29%5E%7B2%7D%20%2B%20D%283%29%20%2B%20E%28-1%29%20%2B%20F%20%3D%200)
⇒
...............( equation 1)
when circle passes through (-2,4);
⇒ ![(-2)^{2} + 4^{2} + D(-2) + E(4)+ F = 0](https://tex.z-dn.net/?f=%28-2%29%5E%7B2%7D%20%2B%204%5E%7B2%7D%20%2B%20D%28-2%29%20%2B%20E%284%29%2B%20F%20%3D%200)
⇒
...............( equation 2)
when circle passes through (6,8);
⇒ ![6^{2} + 8^{2} + D(6) + E(8) + F = 0](https://tex.z-dn.net/?f=6%5E%7B2%7D%20%2B%208%5E%7B2%7D%20%2B%20D%286%29%20%2B%20E%288%29%20%2B%20F%20%3D%200)
⇒
................( equation 3)
by solving these 3 equations , we get;
D = -6, E = -8, F = 0
hence,
standard form = ![x^{2} + y^{2} + Dx + Ey + F = 0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20%2B%20Dx%20%2B%20Ey%20%2B%20F%20%3D%200)
= ![x^{2} + y^{2} - 6x - 8y = 0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20-%206x%20-%208y%20%3D%200)
Answer:
Undefined
Step-by-step explanation:
Slope of the line
![= \frac{ - 2 - 3}{ - 9 - ( - 9)} \\ \\ = \frac{ - 5}{ - 9 + 9} \\ \\ = \frac{ - 5}{0} \\ \\ = \infty \: \: or \: undefined](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20-%202%20-%203%7D%7B%20-%209%20-%20%28%20-%209%29%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B%20-%205%7D%7B%20-%209%20%2B%209%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B%20-%205%7D%7B0%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cinfty%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20undefined)
T-Shirts=$15
Gift Card=100
So you can solve it this way:
it says that the gc had $100, and at the end of the day it only has 10.
So it means she spend $90 in T-Shirts.
And each T-Shirt is $15.
15x=90
15(60)=90
She bought 6 T-Shirts