Which of the following rotations around the origin of the triangle with vertices H(2,−6), I (1, 5), J(−3,4) produces an image with vertices H’(−6,−2), I’ (5, −1), J’(4,3)

a) 180o

b) 90o

c) 360o

d) 270o
give the degrees and the the direction clockwise or counterclockwise

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

a sample of water is taken and kept in a beaker in a freezer at a constant temperature of 0°c. if the system is at dynamic equilibrium, which of these statements is true?