Answer:
Radius = 5
center is (19,-1)
![(x-19)^2(y+1)^2= 25](https://tex.z-dn.net/?f=%28x-19%29%5E2%28y%2B1%29%5E2%3D%2025)
Step-by-step explanation:
Two points in the plane, (19,4) and (19,−6), represent the endpoints of the diameter of a circle.
Distance between the points is calculated using formula
![d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5Cleft%28x_2-x_1%5Cright%29%5E2%2B%5Cleft%28y_2-y_1%5Cright%29%5E2%7D)
![=\sqrt{\left(19-19\right)^2+\left(-6-4\right)^2}=10](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cleft%2819-19%5Cright%29%5E2%2B%5Cleft%28-6-4%5Cright%29%5E2%7D%3D10)
diameter = 10
radius = diameter divide by 2
Radius = 5
midpoint is the center of the circle
![\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7Bx_2%2Bx_1%7D%7B2%7D%2C%5C%3A%5C%3A%5Cfrac%7By_2%2By_1%7D%7B2%7D%5Cright%29)
![\left(\frac{19+19}{2},\:\frac{-6+4}{2}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B19%2B19%7D%7B2%7D%2C%5C%3A%5Cfrac%7B-6%2B4%7D%7B2%7D%5Cright%29)
(19,-1)
Equation of the circle
![(x-h)^2(y-k)^2= r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%28y-k%29%5E2%3D%20r%5E2)
h,k is the center and r is the radius
h=19 and k=-1 , r=5
![(x-19)^2(y+1)^2= 25](https://tex.z-dn.net/?f=%28x-19%29%5E2%28y%2B1%29%5E2%3D%2025)
![7500/75=100](https://tex.z-dn.net/?f=7500%2F75%3D100)
This means that a field of those dimensions would not be the required length of a minimum of 110 feet.
Answer:
look at the angles. they all ad up to 180 degrees devide that by 9, and there you go!
Step-by-step explanation:
If we have
y = 6x + 1 and x - y = 11, we can take advantage of y - y = 0 as follows:
Subtract x from both sides of the 2nd equation:
-y = 11 - x
Now combine
y = 6x + 1
-y = 11 - x
--------------
0 = 5x + 12. Solving for x, x = -12/5. Using the equation above, find y:
-y = 11 - x
= 11 - (-12/5)
= 55/5 + 12/5 = 67/5
Then the solution is (-12.5, 67/5).
Answer:
$56.76
Step-by-step explanation:
$56.76 because 20% of 44 is 8.80 which is the tip and 9% of 44 is 3.96 which is the tax rate giving you an answer of $56.76. Hope this helps!