Answer:
(3, 0)
Step-by-step explanation:
A parabola is the locus of a point such that the distance from a fixed line called directrix and the distance from a fixed point called focus is constant.
The equation of a parabola with a vertex at (h, k) with axis of symmetry parallel to the y axis is given as:
The directrix is at y = k - p, and focus is at (h, k + p).
Given an equation -1/16(x-3)^2 + 4 = y, expressing it in standard form is:
Comparing with the standard form:
The center = (h, k) = (3, 4)
Also, -16 = 4p
p = -4
Directrix is at y = k - p = 4 - (-4) = 8
Directrix is at y = 8
The focus is at (h, k + p) = (3, 4 + (-4)) = (3, 0)
The focus is at (3, 0)
Answer:
Step-by-step explanation:
area of the square =10*10=100
area of the circle =pi r^2=pi*1^2=3.142
part a
p(hitting the circle =3.142/100=0.03142 Which is closer to 0
part b
p( hitting the white portion ) =1-0.03142=0.96858 which is closer to 1
It’s A
Because if you subtract 12 from 96 you’ll get 8y=84 then divide both sides by 8 you get 21/2 simplify and get 10.5 or 10 1/2
Answer:
The computer's initial price was $500.
Step-by-step explanation:
If you notice, at the top left of the graph, the y is 500 and the x is 0. The x-axis is also the timeline while the y-axis is the price line.
I hope this helped! :)
Given:
The fees for a day student are $600 a term.
The fees for a boarding student are $1200 a term.
The school needs at least $720000 a term.
To show:
That the given information can be written as 
.
Solution:
Let x be the number of day students and y be the number of boarding students.
The fees for a day student are 
a term.
So, the fees for 
day students are 
a term.
The fees for a boarding student are 
a term.
The fees for 
boarding student are 
a term.
Total fees for day students and boarding student is:
The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.
Divide both sides by 600.
Hence proved.
