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
Answer:
-5 and initial value is -1
Step-by-step explanation:
Slope= y2-y1/x-x1
-11-(-1)/2-0
-10/2
-5
Initial value is y-intercept where x is 0 (0,y)
so
(0,-1) is starting point
Answer:
<u>5%</u>
Step-by-step explanation
50/32= 1.56yard per second ; 50/31= 1.61 yard per second
1.61-1.56= 0.05* 100= 5%
Answer:
The answer is c
Step-by-step explanation:
C.88cm
