One leg of a right triangle has a length of 5 m. the other lengths that are consecutive integers

The two other points would be 5 m. and 3 m.

When they say the other 2 sides are consecutive integers then --> x = x + 1 , where 'x + 1' is the hypotenuse.

(x + 1)² = x² + 5²

x² + 2x + 1 = x² + 25 --> Both x² get cancelled.

2x + 1 = 25 ---> 2x = 24 ---> x = 12

The other leg is 12 m

The hypotenuse is 13 m hope this helped you.

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)

4

step-by-step explanation: