Solve these with the distributive property, (or just solve them), thank you in advance! :L

Mathematics

1 answer:

alisha [4.7K]3 years ago

7 0

Answer:

3.5(11) means 3.5 times 11? in that case

Step-by-step explanation:

first one roughly = 35+19+16....then you can see 77 is the closest, even without calcatulor

second one precisely==20+33+5+38.....then you can see that 90 is roughly the closest one, again even without to add those 4 togetherly precisely

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What are the focus and the directrix of the graph of x=1/24 y^2

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The given equation of parabola is:

$x= \frac{1}{24} y^{2}$

Part 1) Focus of the Parabola

In order to find the focus and equation of directrix, we first have to convert the given equation to standard form of parabola.

$24x= y^{2} \\ \\ 
4*6(x)= y^{2} \\ \\ 
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The focus of the general equation of parabola shown below lies at (h+p, k)
$(y-k)^{2}=4p(x-h)$

Comparing our equation to the general equation we get:
h=0
k=0
p=6

So the focus of given parabola will be (0+6, 0) = (6,0)

Part 2) Directix of the Parabola

The directrix of the general parabola shown above lies at:

x = h - p
Using the values of h and p, we get

x = 0 - 6

x = -6

So, the directrix of the given parabola has the equation x = -6

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