Answer:
Input- the number of cereal boxes purchased
output- the price for cereal boxes
Step-by-step explanation:
i am honestly not too sure about this answer but hopefully you get it right :)
Answer:
x-intercept is 8, meaning if you get 8 candy bars, you can get 0 popcorn bags.
y-intercept is 6, meaning if you get 6 popcorn bags, you can get 0 candy bars. When Jackie had 0 candy bars, she had 6 (y-intercept) bags of popcorn and when Jackie had 0 bags of popcorn, she had 8 (x-intercept) bars of candy.
Step-by-step explanation:
The y-axis represents the amount of popcorn bags she has and the x-axis has the amount of candy bars. When the linear line intercepts with either axis, at least one axis is always at zero.
5x-2=4x+17
x=19
<A (Left angle)= 93°
<B (Right angle)= 93°
Vertical angles are always =
Well you're gonna wanna start at -13 for the y intercept, and then go 3 up every x, just like the equation y = 3x +13.
Given:
The center of the circle = (-1,0)
Point on the circle = (2,-4).
To find:
The equation of the circle.
Solution:
Distance between two points is
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Distance between the center (-1,0) and the point on the circle (2,-4) is the radius of the circle.
![r=\sqrt{(2-(-1))^2+(-4-0)^2}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%282-%28-1%29%29%5E2%2B%28-4-0%29%5E2%7D)
![r=\sqrt{(2+1)^2+(-4)^2}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%282%2B1%29%5E2%2B%28-4%29%5E2%7D)
![r=\sqrt{(3)^2+(-4)^2}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%283%29%5E2%2B%28-4%29%5E2%7D)
On further simplification, we get
![r=\sqrt{9+16}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B9%2B16%7D)
![r=\sqrt{25}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B25%7D)
![r=5](https://tex.z-dn.net/?f=r%3D5)
Now, the equation of the circle is
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
Where, (h,k) is the center and r is the radius of the circle.
The radius of the circle is 5 and the center is at (-1,0), so the equation of the circle is
![(x-(-1))^2+(y-0)^2=5^2](https://tex.z-dn.net/?f=%28x-%28-1%29%29%5E2%2B%28y-0%29%5E2%3D5%5E2)
![(x+1)^2+y^2=25](https://tex.z-dn.net/?f=%28x%2B1%29%5E2%2By%5E2%3D25)
Therefore, the first option is correct, i.e.,
.