Pythagorean theorem: , where a and b are the legs and c is the hypotenuse.
We can solve for x by only using the left side of the triangle. Since we're only using the left side of the triangle, we can reduce 18 by 2 to get 9. Now we plug in our information to the equation.
Since we don't know what is, we're going to isolate it by subtracting 81 on both sides
We have to square root both sides in order to find out b (or x in the problem).
When you put this on a calculator it would result in which is the answer d in the problem.
Y = x - 28/5. The slope here is 1. A perpendicular line will have a negative reciprocal slope. So our perpendicular line will have a slope of -1.
slope = (y2 - y1) / (x2 - x1) (k,2)....x1 = k and y1 = 2 (7,0)...x2 = 7 and y2 = 0 sub slope = (0 - 2) / (7 - k) slope = -2 / ?......now if we want the slope to be -1..that means the number where the question mark is has to be 2....for that to happen, k has to be 5...because 7 - 5 = 2.