Answer:
![(x+2)^2+(y-4)^2=16](https://tex.z-dn.net/?f=%28x%2B2%29%5E2%2B%28y-4%29%5E2%3D16)
Step-by-step explanation:
OK, lets start by drawing a basic graph (the first one) so we can visualize.
We already know that the y coordinate of the circle's center is
.
We know that the circle is tangent to the
axis at ![(-2,0)](https://tex.z-dn.net/?f=%28-2%2C0%29)
That means the x coordinate of the center has to be
, as the tangent is a point on the edge of the circle that touches a line at exactly one point.
The radius is the distance from the center of the circle to its edge. We know the center's location now, it is
and a point on the edge of the circle (the tangent point) which is
. so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)
We can imagine the circle should look like this (the second one):
Now we can piece together an equation
The equation of a circle is
where
is the center and
is the radius. When we put the numbers in: we get
which can be simplified into
which is the answer.
Answer:
1 hour
Step-by-step explanation:
Equation: 6 hours × 1/6 hours = 1 hour
If there are 6 hours and Tamela missed 1/6, that means she missed 1 hour of school.
Has no Real roots because a+b=-3000 and a*b=22000 doesnot exist
I believe the selling price is 5 percent sorry if I’m wrong
Answer:
![b =6](https://tex.z-dn.net/?f=b%20%3D6)
Step-by-step explanation:
Given
![f(x) =3x + b](https://tex.z-dn.net/?f=f%28x%29%20%3D3x%20%2B%20b)
![f(2) = 12](https://tex.z-dn.net/?f=f%282%29%20%3D%2012)
Required
Find b
implies that:
![12 = 3 * 2 + b](https://tex.z-dn.net/?f=12%20%3D%203%20%2A%202%20%2B%20b)
![12 = 6 + b](https://tex.z-dn.net/?f=12%20%3D%206%20%2B%20b)
Collect like terms
![b = 12 - 6](https://tex.z-dn.net/?f=b%20%3D%2012%20-%206)
![b =6](https://tex.z-dn.net/?f=b%20%3D6)