You will save $15
x×0.15=5
x=33.33333
x×0.45=15
k = 5
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Since the coefficient of the x² term is 1 then
add/ subtract (half the coefficient of the x-term )² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 + 14 = (x - 3)² + 5 → k = 5
Use the law of cosines:
c² = 8² + 11² - 2•8•11 cos(37°)
c² ≈ 44.4402
c ≈ 6.66634
I think Alexa would be since .3 is a larger number than .03
B. Triangle B and Triangle D
Triangle A has all equal sides and Triangle C is a right triangle.