we know that
The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. It is also the center of the circumcircle, the circle that passes through all three vertices of the triangle
The distance of the circumcenter to the vertices of the triangle is equal to the radius of the circle
see the attached figure to better understand the problem
therefore
the answer is
The cell phone company must be place the new cell tower in the circumcenter of the triangle formed by the center of the three towns
230 is written as 2.3 × 10^2
Answer:
40.9
Step-by-step explanation:
add all the sides
Answer:
dam
mmnnnn that aint 2nd grade
Step-by-step explanation:
Answer:
![y=-\frac{1}{2}x+\frac{5}{2}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B5%7D%7B2%7D)
Step-by-step explanation:
First we need to find the slope of the line. We can plug in both coordinates in to the slope formula.
The slope formula is:
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
So I will use (-3,4) as the first coordinate, and (7,-1) as the second coordinate.
x₁ = -3
y₁ = 4
x₂ = 7
y₂= -1
I will plug in these values to find the slope.
![m=\frac{y2-y1}{x2-x1}\\\\m=\frac{-1-4}{7-(-3)}\\\\m=\frac{-5}{10}\\\\m=-\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B-1-4%7D%7B7-%28-3%29%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B-5%7D%7B10%7D%5C%5C%5C%5Cm%3D-%5Cfrac%7B1%7D%7B2%7D)
Now that we know the slope is -1/2, we can plug in the slope and a point into the point slope equation. Then we can solve for y.
![y-y_{1} =m(x-x_{1} )\\\\y-4==-\frac{1}{2}(x-(-3))\\\\y-4=-\frac{1}{2}x-\frac{3}{2}\\\\ y=-\frac{1}{2}x+\frac{5}{2}](https://tex.z-dn.net/?f=y-y_%7B1%7D%20%3Dm%28x-x_%7B1%7D%20%29%5C%5C%5C%5Cy-4%3D%3D-%5Cfrac%7B1%7D%7B2%7D%28x-%28-3%29%29%5C%5C%5C%5Cy-4%3D-%5Cfrac%7B1%7D%7B2%7Dx-%5Cfrac%7B3%7D%7B2%7D%5C%5C%5C%5C%20y%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B5%7D%7B2%7D)
I have attached an image of what this graph should look like. Since the slope is -1/2, the y value should decrease by 1/2 every time you move over by 1 on the x axis. And since the equation says "+5/2" we know we have to shift the graph up by 5/2. The y-intercept will be 5/2.
I added another image that shows how to graph an equation using the equation y=mx+b