Answer:
(–1, 1)
(4, –2)
Step-by-step explanation:
Let
(x,y) ----> the coordinates of point C
Applying the Pythagoras Theorem

step 1
Find the possibles values of x

Simplify

Solve the quadratic equation

The values of x are
x=-1 and x=4
step 2
Find the possibles values of y

Simplify

Solve the quadratic equation

The values of y are
y=-2, y=1
therefore
The possibles coordinates of point C are
(-1,1),(4,-2)
Answer:
p=65
Step-by-step explanation:
180-50=130
130/2=65
First, think this through. If you are 23 miles from Sacramento, and 110 miles from Oakland (I am assuming it is miles since you didn't specify *cough cough*) then the two cities are 133 miles apart (also assuming you are in between them)

so, we use the midpoint formula to find our position

and get 66.5 miles from both Sacramento and Oakland.
Next, we already know the sign is 23 miles away from Sacramento so we can use that distance and our position to figure out how far away the sign is. We use absolute values because distance is always positive.

so we get

to double check, use the sign's distance from Oakland.

so, we are 43.5 miles from the sign!
hope this helps