<span>Housing expenses would be equal to $586.20.</span>
To determine the perimeter of the triangle given the vertices, calculate the distances between pair of points. For the first pair (-5,1) and (1,1), the distance is 6. For the next pair, (1,1) and (1, -7), the distance is 8. Lastly, for the pair of points (-5,1) and (1, -7), the distance is 10. Adding all the distance will give the perimeter of the triangle. Thus, the perimeter is 24.
Start with the standard equation of a circle with center at (h,k) and radius r:
(x-h)^2 + (y-k)^2 = r^2. Substitute -5 for h and 12 for k:
(x-0)^2 + (y-0)^2 = r^2
Next, we substitute -5 for x and 12 for y, with the objective of determining the value of r^2:
(-5-0)^2 + (12-0)^2 = r^2. Then 25 + 144 = 169 = r^2, and r = 13.
Thus, the answer choice "x2 + y2 = 169" is the correct one.
Important: Please use " ^ " to denote exponentiation: x^2 + y^2 = 169.
2x - 8 = 5x +3
First you will subtract the 2x and you will end up with -8 = 3x + 3. Then you will need to move the 3 over by subtraction. You will end up with -11 = 3x. Now you will divide each side by 3 to get the x by itself. You end up with -11/3 = x as your final answer.
