# math

posted by .

please help me I need to finish this so that I can go into grade 11. A new water tower must be equidistant from three communities. They are located at (-25, 20) (-5, -40) and (15, 30). Find the coordinates of the point where the water tower should be built which i am assuming is the circumcenter. Please give all steps

• math -

I will describe the method for you, but you must do the work.
Label the points A, B, and C
The centre of the circle will lie on the intersection of the right bisectors of AB and AC

1. Find the midpoint of AB
2. find the slope of AB
3. The slope of the right-bisector will be the negative reciprocal of the slope of AB
e.g. slope AB = (20+40)/(-25 + 5) = 60/-20 = -3
so the slope of the right-bisector is 1/3
You now have the slope of that line and a point on it, (its midpoint)
Find the equation of the line

repeat the above steps to get the right-bisector of AC
solve the two equations, the solution would be the position of the tower.

• math -

hard

## Similar Questions

1. ### geometry

a cylinder water tower is three-fourths full of water.the tower is 24 feet tall and has a diameter of 28 feet.how much water is in the tower now?
2. ### geometry

a cylinder water tower is three-fourths full of water.the tower is 24 feet tall and has a diameter of 28 feet.how much water is in the tower now?
3. ### space

A water tower has to be equidistant from three communities. The communities are at positions (-25, 20), (-5, -40) and (15, 30). Find the coordinates of the point where the water tower should be built.
4. ### Math

The angle of depression from a water tower to a forest fire underneath the tower is 18°. If the height of the water tower is 60 meters, what is the horizontal distance on the ground between the water tower and the fire?
5. ### Analytic Geometry

A point is equidistant from (-2,4) and (3,5). It is also equidistant from (-2,-3) and (6,-1). Find the point Please I need Help with this
6. ### Analytic Geometry

A point is equidistant from (-2,4) and (3,5). It is also equidistant from (-2,-3) and (6,-1). Find the point Please I need Help with this
7. ### math calc

A water tower is located 354 feet from a building. From a window in the building, an observer notes that the angle of elevation to the top of the tower is 42° and that the angle of depression to the bottom of the tower is 20°. How …
8. ### math

A 127 foot tower is located on hill that is inclined 38° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 64 feet downhill from the base of the tower. Find the length of wire needed.
9. ### Pre calc

A water tower is located x = 375 ft from a building (see the figure). From a window in the building, an observer notes that the angle of elevation to the top of the tower is 39° and that the angle of depression to the bottom of the …
10. ### Pre calc

A water tower is located x = 375 ft from a building (see the figure). From a window in the building, an observer notes that the angle of elevation to the top of the tower is 39° and that the angle of depression to the bottom of the …

More Similar Questions

Post a New Question