The equation of parabola is
For point (-1,-9), equation of parabola is
For point (1,7), equation of parabola is
For point (-6,-14), equation of parabola is
So we have three equations , which are
Subtracting first two equation will give
Subtracting second and third equation gives
Substituting 8 for b, we will get
back substituting 8 for b and 1 for a, we will get
So we have
Therefore required equation is
Answer:
angle k is the answer with verticle line above hope it will help you by
Answer:
v = 15
Step-by-step explanation:
Hope this helped
Step-by-step explanation:
y=0.5x+1.5
y=2x-3
y=1.5
x=-3
for the second line
y=-3
x=3/2
Part A.
The set of equations can be solved by substitution. Use the expression one equation gives for y as the value of y in the other equation. This gives
2x²-15 = 3x-6
Subtracting the right side gives a quadratic in standard form that can be solved by any of several methods.
2x² -3x -9 = 0
(2x+3)(x-3) = 0 . . . . factor the above equation
x = -3/2, x = 3 . . . . .use the zero product rule to find x
Now, these x-values can be substituted into either equation for y. The linear equation is often easier to evaluate.
y = 3(-3/2) -6 = -10.5
y = 3(3)-6 = 3
The solutions to the system are (-1.5, -10.5) and (3, 3).
Part B.
The two equations can be graphed. The solutions are where the graphs intersect. The graphs intersect where the (x, y) values that satisfy one equation are the same (x, y) values that satisfy the other equation. Those points of intersection are (-1.5, -10.5) and (3, 3).
