A right triangle has a leg lengths of 9 units and 12 units. Write an equation that can be used to determine the length of the hypotenuse, c.

a^2+b^2=c^2

c=15 units

Step-by-step explanation:

You can use the pythagorean theorem to solve this equation. a^2+b^2=c^2.

If you substitute the leg lengths in, the new equation will be 9^2+12^2=c^2, c being the hypotenuse.

Next, you can simplify it to get 81+144=c^2. Simplifying it further, you get 225=c^2, which means that the length of the hypotenuse is 15. Hope this helped! :)

15

Step-by-step explanation:

9^2+12^2=c^2

81+144=c^2

225=c^2

15=c

or you can see that this is a 3,4,5 triangle (just 3 times bigger)

hope this helps :)

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

are you an artist's daughter? cuz dang you a fine piece of art, girl.