Thank you for posting the figure. Without it, I would have thought the parabola has a vertical axis.
For a parabola with a horizontal axis (as in this case), the equation of the parabola is
f(y)=a(y-k)^2+h
where (h,k) is the vertex.
Substituting (h,k)=(2,-4),
f(y)=a(y+4)^2+2...................(1)
as the equation of the parabola, with the value of "a" yet unknown.
Since we are given that the parabola passes through the point (-3,-3), we can substitute the corresponding x,y values in (1) to solve for a.
f(y)=-3=a(-3+4)^2+2
solve for a
a=(-3-2)/(1^2)=-5
So the equation of the parabola is f(y)=-5(y+4)^2+2
Answer:
(10,-2)
Step-by-step explanation:
You can see that the first equation has already given as x-isolated equation aka x = 10.
With this, you can substitute x = 10 in the second equation 3x+5y = 20 then solve for y.
3(10)+5y=20
30+5y=20
<em>Subtract both sides by 30.</em>
5y=-10
<em>Divide both sides by 5.</em>
y=-2
So from x = 10 and y = -2, we can write as (10,-2) in coordinate form.
180 degrees counterclockwise because 360 degrees is a full circle and 180 is half a circle because 6x2=12
52.50-3x=Remainder
Explanation:
52.50 starting amount
3x (3 shirts) (1 shirt=x)
52.50-3 shirts=remainder
Answer:
B. ;
Step-by-step explanation:
Total amount of salsa in container = x
Number of bowl the salsa is divided into = 5
Amount contained by each bowl = 8.5 ounces of salsa
Therefore:
---› equation
Solve for x
Multiply both sides by 5