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stiv31 [10]
3 years ago
7

Pls show work, need help!

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
3 0
A number has exactly eight factors. Two of the factors are 10and14. What is the number , and what are all the factors
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B.4/11

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Find the slope of the line.
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(6+8k^2+8k^3)+(k^2+4k-6)
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8 {k}^{3}  + 9 {k}^{2}  + 4k

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3 years ago
Derive the equation of the parabola with the focus <br> is (-7,5) and the directrix of y=-11
Volgvan
So, notice, the focus point is at -7, 5, and the directrix is at y = -11.

keep in mind that the vertex is half-way between those two fellows, and the distance from the vertex to either one of them is "p" units, check the picture below.

with that focus point and that directrix, the half-way over the axis of symmetry will be -7, -3, that's where the vertex is at, and notice the distance "p", is 8 units.

since the parabola is opening upwards, "p" is positive 8.

\bf \textit{parabola vertex form with focus point distance}\\\\&#10;\begin{array}{llll}&#10;4p(x- h)=(y- k)^2&#10;\\\\&#10;\boxed{4p(y- k)=(x- h)^2}&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ( h, k)\\\\&#10; p=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;h=-7\\&#10;k=-3\\&#10;p=8&#10;\end{cases}\implies 4(8)[y-(-3)]=[x-(-7)]^2&#10;\\\\\\&#10;32(y+3)=(x+7)^2\implies y+3=\cfrac{1}{32}(x+7)^2&#10;\\\\\\&#10;y=\cfrac{1}{32}(x+7)^2-3

8 0
3 years ago
An online video streaming service offers two plans for unlimited streaming. Plan A has a one-time $25 membership fee and is $8 p
Zanzabum

Answer:

The answer is that both plans are equal.

Step-by-step explanation:

you start by putting the plans into an equation then you set them equal to each other. you need to assign a variable for the number of months. we'll call it M. It would look like this:

plan A - 25 + 8M

plan B - 5 + 12M

25 + 8M = 5 + 12M

Then you solve which looks like this:

25 + 8M = 5 + 12M

     -8M            -8M

25 = 5 + 4M

-5    -5

20 = 4M

/4       /4

5 = M

Now we aren't done after finding out what M equals. We still need to know what each plan will cost. So, we substitute what M equals into the equation. if they both end up equaling the same thing then its equal. if you get two different numbers they aren't. it would look like this:

25 + 8(5) = 5 + 12(5)

25 + 40 =  5 + 60

65 = 65

They are equal. Both plans will cost 65 dollars.

7 0
3 years ago
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