For the following right triangle, find the side length x. :

x = 10

Step-by-step explanation:

To find the hypotenuse (x), you need to square the base and height and add them together (a^2 + b^2 = c^2). Let a be 6 and let b be 8.

So 6^2 = 36 and 8^2 = 64. When you add them together, you should get 100. Since 100 is a perfect square (10×10), the answer is 10.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

step-by-step explanation: