We have been given graph of a downward opening parabola with vertex at point 
. We are asked to write equation of the parabola in standard form.
We know that equation of parabola in standard form is 
.
We will write our equation in vertex form and then convert it into standard form.
Vertex for of parabola is 
, where point (h,k) represents vertex of parabola and a represents leading coefficient.
Since our parabola is downward opening so leading coefficient will be negative.
Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:
Divide both sides by 
So our equation in vertex form would be 
.
Let us convert it in standard from.
Therefore, the equation of function is standard form would be .
Answer:
B. 22
Step-by-step explanation:
Hope this helps! Ask me anything if you have any quistions!
A is the answer because it does not repeat any of the x numbers
$125 is a "must budget" so it will be the constant in the inequality
The fountain is $30 per hour. If they spend x hours, then their budget for fountain will be
fountain = 30x
The inequality
Their budget is maximum $250, that means they are able to spend less than or equal to $250
constant + fountain ≤ 250
125 + 30x ≤ 250
<em>This is the inequality expression</em>
9514 1404 393
Answer:
779.4 square units
Step-by-step explanation:
You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.
One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...
A = (1/2)r²sin(α)
Since there are n such triangles, the area of the n-gon is ...
A = (n/2)r²sin(360°/n)
__
For a hexagon (n=6) with radius 10√3, the area is ...
A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units
