Answer:
A. ![(x+5)^2+(y-8)^2=100](https://tex.z-dn.net/?f=%28x%2B5%29%5E2%2B%28y-8%29%5E2%3D100)
Step-by-step explanation:
1. The standard form of the equation of a circle is ![(x-h)^{2} + (y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E%7B2%7D%20%2B%20%28y-k%29%5E2%3Dr%5E2)
2. To find the center we require the midpoint of the 2 given points
center =![[\frac{1}{2}(-4-6),\frac{1}{2}(11+5)]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7B2%7D%28-4-6%29%2C%5Cfrac%7B1%7D%7B2%7D%2811%2B5%29%5D)
=(-5,8)
3. The radius is the distance from the centre to either of the 2 given points calculate the radius using the distance formula
d= ![\sqrt{(x_{2}+x_{1})^{2} +(y_{2}-y_{1})^{2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D%2Bx_%7B1%7D%29%5E%7B2%7D%20%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D)
let
and ![(x_2,y_2)=(-4,11)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%3D%28-4%2C11%29)
r=![\sqrt{(-4+5)^2+(11-8)^2} =\sqrt{81+9}=10](https://tex.z-dn.net/?f=%5Csqrt%7B%28-4%2B5%29%5E2%2B%2811-8%29%5E2%7D%20%3D%5Csqrt%7B81%2B9%7D%3D10)
--> ![(x-(-5)^2+(y-8)^2=10^2](https://tex.z-dn.net/?f=%28x-%28-5%29%5E2%2B%28y-8%29%5E2%3D10%5E2)
--> ![(x+5)^2+(y-8)^2=100](https://tex.z-dn.net/?f=%28x%2B5%29%5E2%2B%28y-8%29%5E2%3D100)
Equation that represents therelationship between the nmber of weeks and total amount of money marcus will have saved is
Y= 5x+42
-5x +y =42
He currently has $42 with planning to save $5 each week. So, $5 per week is the slope and $42 is the y intercept.
Answer:
It would be 2x+2-3x-15>0,there is a line underneath the sign.
Step-by-step explanation:
Its because you are just multiplying the number on the outside with the numbers or variables in the parenthesis.
Leave the sign because its not gonna change anyways.unless you know what x equals.
X intercept is when y = 0 so 4x = -20, x=-5
y intercept when x = 0 so -5y = -20, y=4
Answer:
1. x=5
2.x=-33/8
3.x=10
4.x=5
Step-by-step explanation: