Equation of a parabola is written in the form of f(x)=ax²+bx+c.
The equation passes through points (4,0), (1.2,0) and (0,12), therefore;
replacing the points in the equation y = ax² +bx+c
we get 0 = a(4)²+b(4) +c for (4,0)
0 = a (1.2)²+ b(1.2) +c for (1.2,0)
12 = a(0)² +b(0) +c for (0,12)
simplifying the equations we get
16a + 4b + c = 0
1.44a +1.2b + c = 0
+c = 12
thus the first two equations will be
16a + 4b = -12
1.44 a + 1.2b = -12 solving simultaneously
the value of a = 5/2 and b =-13
Thus, the equation of the parabola will be given by;
y= 5/2x² - 13x + 12 or y = 2.5x² - 13x + 12
1550 * 0.2279 / 12 ( monthly interest is 1/12 of APR)
= $29.43
Answer:
A 8.469862e+15 so that is the answer hope u get the answer cprrect
Flip 33/5
3/5 times 5/33
3 times 5 /5 times 33
15/165
Reduce
1/11
Area of aqua: A = bh/2 = (13.4cm) (4cm)/2 = 26.8cm2
Total area trapezoid: A = (a+b/2)h = ((13.4cm + 18cm)/2) 4cm = 62.8cm2
Area of purple = Total area - area of
aqua = (62.8cm2) - (26.8cm2) = 36cm2
