Do the following lengths form a right triangle?

2 3 4 do, 1 does not

Step-by-step explanation:

Using the Pythagorean Theorem, we can see that the square of the 2 smaller sides, when added together, is equal to the square of the longer side of each of the example triangles.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

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)