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RSB [31]
2 years ago
8

What is the equation of the parabola with focus (0, -3) and directrix y= 2?

Mathematics
1 answer:
yKpoI14uk [10]2 years ago
4 0

Answer:

  y = -1/10x^2 -1/2

Step-by-step explanation:

The equation for a parabola with focus (a, b) and directrix y = d is ...

  y = 1/(2(b -d))(x -a)² +(b +d)/2

__

For the given focus and directrix, we have ...

  • a = 0
  • b = -3
  • d = 2
  • y = 1/(2(-3-2))(x -0)² +(-3+2)/2

Simplified, the equation is ...

  y = -1/10x² -1/2

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Adrian's backyard pool contains 6.4 gallons of water. Adrian will begin filling his pool at a rate of 4.1 gallons per second. Da
nirvana33 [79]

Answer:

The data that we have is:

"Adrian's backyard pool contains 6.4 gallons of water. Adrian will begin filling his pool at a rate of 4.1 gallons per second."

Then we can write the amount of water in Adrian's pool as a linear function:

A(t) = 6.4gal + (4.1gal/s)*t

Where t is our variable and represents time in seconds.

We also know that:

"Dale's backyard pool contains 66.4 gallons of water. Dale will begin draining his pool at a rate of 0.9 gallons per second. "

We can also model this with a linear function:

D(t) = 66.4 gal + (0.9gal/s)*t

Both pools will have the same amount of water when:

D(t) = A(t)

So we can find the value of t:

6.4gal + (4.1gal/s)*t = 66.4 gal + (0.9gal/s)*t

(4.1gal/s)*t - (0.9gal/s)*t = 66.4gal - 6.4gal

(3.2gal/s)*t = 60gal

t = 60gal/(3.2gal/s) = 18.75s

In 18.75 seconds both pools will have the same amount of water.

4 0
4 years ago
Sadie set her watch 2 seconds behind, and it falls behind another 2 seconds every day. Write an equation that shows the relation
padilas [110]

Answer:

nth day: w:x:(y-2(n-1))

Step-by-step explanation:

Let Original time = w:x:y

Where w is the hours, and x is the minutes, and y is the seconds.

Sadie's time on the first date: w:x:(y-2)

Second day: w:x:(y-4)

Third day: w:x:(y-6)

and so on

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6 0
3 years ago
What life skills are rarely taught but extremely useful?
vodomira [7]
I would honestly say how to fill out checks, how to buy houses, etc. i feel like the american school system doesn’t teach so many helpful things. i can make a longer list of you’d like

hope this helps! please mark brainliest!:)
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3 years ago
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abruzzese [7]

Answer:

9

Step-by-step explanation:

If u add 12.50 and 6.50 together u get 19 and if u multiply 19 up to 175$, Then u only get to bring 9 people and if u multiply 19 x 9 u get 171 if u multiply it more u will go over the budget so 9 is the correct answer.

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saul85 [17]
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---TF---
6 0
3 years ago
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