ΔABO is a right triangle with AB⊥BO. The radius of the circle is BO. The Pythagorean theorem applies.
AO² = AB² + BO²
13² = 5² + r²
169 -25 = r²
r = √144 = 12
The radius (r) is 12.
Answer:
3
Step-by-step explanation:
hope this helps
To solve a system of equation by elimination, the coefficients of the same variable of both equations must be equal. In this case, let's choose y.
In order to make the coefficient of y of the second equation be equal to 7, we divide it by 2. Resulting to:
2x - 7y = -34
Next, add the two solutions so that the y term is eliminated. The result is:
10x = 5
Then solve for x
x = 1/2
Substitute x to either of the solution to solve for y. The result is:
y = 5