Answer:
a (1, 2.5)
Step-by-step explanation:
When talking about the orthocenter, you want to make sure that the point you are looking for is in the exact center. Since coordinate N of the x value is 1, we can safely assume that your top two choices are either a and b. B wouldn't work since it is not at the exact center which makes your answer A.
the discriminant b^2 - 4ac when the equation is in the form of ax^2 +bx+c=0
13x^2-16x = x^2 -x
we need to get in it the standard form
subtract x^2 from each side
12x^2 -16x = -x
add x to each side
12x^2 -15x = 0
12x^2 -15x -0 =0
a=12 b=-15 c=0
b^2 -4ac
the discriminant = b^2
b^2 = (-15)2 = 225
Easy multiply the first number and do keep change flip
B. This is the answer because it is not equivalent to anything else, and the answer simplified is: -18.
