Given:
The focus is at (0, -5/3)
The directrix is y = 5/3
A standard form of the equation for a parabola is
y = a(x- h)² + k
with the focus at (h , k + 1/(4a)),
and the directrix at y = k - 1/(4a)
Therefore
h = 0 (1)
k + 1/(4a) = -5/3 (2)
k - 1/(4a) = 5/3 (3)
Add (2) and (3).
2k = 0
k = 0
Therefore the vertex is at (0,0).
From (2), obtain
1/(4a) = -5/3
4a = -3/5
a = -3/20
The equation of the parabola is
y = -(3/20)x²
The graph is shown below.
Answer:
15. x^2 +4x - 12 = 0
We need to find square roots of this equation.
solutions are x1 = 2 and x2 = -6
using factoring we can write this equation in a form:
a* (x-x1) * (x-x2) where "a" is coefficient in front of x^2 ( in this case its 1)
therefore solution is
(x-2) and (x+6)
17. d) is the answer. To solve these kinds of questions just multiply factors and see if they match your expression.
18. again, we solve equation 24x^2 -4x -8 = 0
x1 = -1/2 and x2 = 2/3
24(x+1/2)*(x-2/3)
8(x+1/2)*(3x-2)
(8x + 4)*(3x-2)
answer is b)
First, make it easy for yourself by putting like terms together
-7x+8x+5>3
then, combine like terms
-7x+8x=1x
now you have this
1x+5>3
hope this helps!
Answer:
hey
Step-by-step explanation:
idk
Simplifies the problem, you divide by a value which if plugged into x would equal 0. One example is dividing by (x-1) as x=1 results in 0