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V125BC [204]
4 years ago
14

-11 2/3 times (-4 1/5)

Mathematics
1 answer:
Julli [10]4 years ago
3 0

Answer:49

Step-by-step explanation:

Converting each to an improper fraction,

-35/3 * -21/5 = 735/15 = 49

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Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = −1.
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Ok, so from previous question
(x-h)^2=4p(y-k)

distance from focus to directix is 2
2/2=1=p
1>-1
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1 unit down from (0,1) is (0,0)
vertex at (0,0)
since focus is above, p is positive


(x-0)^2=4(1)(y-0)
x^2=4y
4y=x^2
divide both sides by 4
y=(1/4)x^2
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2nd one is answer
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In a function, y varies inversely with x. The constant of variation is 4. Which table could represent the function?
Nimfa-mama [501]
The equation will be y=4/x. u can make the table of variables by inserting the values of x in the equation. for suppose here, if x=1 then y=4 , x=2 then y=2 and so on.
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I will give you brainliest!!!! This step works because of the ___.
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4 years ago
Marta and Nicole run laps around the track they run at the same constant speed but Marta starts first when Marta has run 5 laps
Helga [31]
<h2>Hello!</h2>

The answer is:

Nicole has to run 6 laps when Marta has run 8 laps.

<h2>Why?</h2>

In order to calculate how many laps will Nicole have to run when Marta has run 8 laps, we need to use two equations.

We must consider that since both Marta's and Nicole's speed are constant all the time, Marta wil always run more laps than Nicole, meaning that there is not possibility for Nicole to run the same number of laps that Marta.

We know that they started at different time at the same constant speed, and when Marta has run 5 laps, Nicole has run 3 laps, there is a difference of 2 laps, and it will be always like that.

So, we can conclude that Marta will always be 2 laps ahead of Nicole.

Difference=MartaLaps-NicoleLaps\\\\Difference=5Laps-3Laps=2Laps

For Marta we have:

MartaLaps=NicoleLaps+2Laps

For Nicole we have:

NicoleLaps=MartaLaps-2Laps

Now, if we want to calculate how many laps will Nicole has to run when Marta has run 8 laps, we need to use the second equation (Nicole's equation) and substitute the number of laps (Marta's lap), so, substituting and calculating we have:

NicoleLaps=MartaLaps-2Laps

NicoleLaps=8Laps-2Laps=6Laps

Hence, we have that Nicole has to run 6 laps when Marta has run 8 laps.

Have a nice day!

4 0
3 years ago
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