Using the pythagorean theorem find the length of a leg of a right triangle if the other leg is 8feet long and the hypotenuse is 10 feet long

The Pythagorean Theorem is a² + b² = c².  Since the hypotenuse is 10 ft, c=10. The other leg is 8 ft, so b=8. Plug 10 into c, and 8 into b.

a² + 8² = 10²

Square 8 and 10.

= a² + 64 = 100

Subtract 64 from both sides.

= a² = 36

Find the square root of 36.

a = 6

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.