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sammy [17]
3 years ago
11

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -4).

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0
We have 
Parabola
with vertex (0,0) and   focus (0,-4)

we know that
is a vertical parabola that opens down
the standard form of the equation is of the form
(x-h)²=-4p(y-k)
where
(h,k) is the vertex----------> (0,0)
p is the distance from the vertex to the focus or directrix
in this problem 
p=4
(x-h)²=-4p(y-k)------> x²=-16y-------> y=-(1/16)x²

the answer is the option
<span>D.)y = negative one divided by sixteen x2

see the attached figure
</span>

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Hamburger sells 3 pounds for six dollars if Samantha 510 pounds of hamburger how much will she pay
Lina20 [59]
I believe you meant to say that if Samantha bought 510 pounds of hamburger, how much will she pay?
 
Now from the information we already have, we know that 3 pounds of hamburger will cost 6 dollars. 

The next thing we need to know is how much one pound of hamburger will cost. This will help us calculate  how much the rest will cost.

we now form an equation to assist us.
3 = 6
1= x

(where x represents the unknown price of one pound of hamburger)

Now we must cross-multiply:

3 * x = 6 x 1

3x = 6 

x = 6/3

x = 2

therefore one pound of hamburger costs 2 dollars.

Now, If one pound costs 2 dollars, how about 510 pounds?

We simply multiply:  510 x 2 = 1,020

Therefore  Samantha will pay 1, 020 dollars for 510 pounds of hamburger.






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