The side lengths of a triangle are 6, 8, and 12. Is this a right triangle?

(To find the hypotenuse {longest side of the triangle}, you square the two short sides, add them together, and finally, divide it by the provided number, and see if the number matches the provided number's square.)

D) No, because 6²+8²≠12²

Step-by-step explanation:

In order for it to be a right triangle, the sum of the squares of the side lengths must be equal to the square of the hypotenuse.

In this case, 6^2+8^2=36+64=100. Since 100≠144, this means that option D is correct

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

heyyy

step-by-step explanation: