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3 years ago

Please explain how you got your answer (:

Mathematics

1 answer:

melisa1 [442]3 years ago

6 0

I used math

anyway
remember you can do anything to an equation as long as you do it to both sides

so

4n+2 and 1/2=2n+5
minus 2n both sides
4n-2n+2 and 1/2=2n-2n+5
2n+2 and 1/2=0+5
2n+2 and 1/2=5
minus 2 and 1/2 both sides
2n=2 and 1/2
divide both sides by 2
I mean times both sides by 1/2
n=1 and 1/4

answer is C

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Write 0.28 in expanded form

Gala2k [10]

0.28=0.2+0.08
Or
0.28=2/10+8/100
Or
0.28=(2*1/10)+(8*1/100)
Or
0.28=(2*1/10^1)+(8*1/10^2)

6 0

3 years ago

Which statements about the hyperbola are true? Check all that apply. A. There is a focus at (0,−10). B. There is a focus at (0,

hichkok12 [17]

Answer:

A. There is a focus at (0,−10).

Step-by-step explanation:

Assume the hyperbola is like the one below.

The hyperbola is vertical and centred on the y-axis, so its general equation is

$\dfrac{y^{2}}{a^{2}} - \dfrac{x^{2}}{b^{2}} = 1$

The vertices of your parabola are (0,±8) so a = 8.

The covertices are (±6,0), so b = 6.

Calculate c

$\begin{array}{rcl}a^{2} + b^{2} & = & c^{2}\\8^{2} + 6^{2} & = & c^{2}\\64 + 36 & = & c^{2}\\100 & = & c^{2}\\c & = & \mathbf{10}\\\end{array}$

A. Foci

The foci are at (0, ±c) = (0, ±10)

TRUE. There is a focus at (0,-10).

B. Foci

The foci are at (0,±10).

False. There is no focus at (0,12)

C. and D. Asymptotes

The equations for the asymptotes are

$y = \pm\dfrac{a}{b}x = \pm\dfrac{8}{6}x = \pm\dfrac{4}{3}x$

So, y = ±x are not asymptotes.

False.

E. and F. Directrices

The equations of the directrices are

y = ±a²/c = ±64/10 = ±6.4

y = 6.4 is a directrix.

E is false. x = cannot be a directrix

F is uncertain. Your equation for the directrix is incomplete.

3 0

3 years ago

Mary places a miniature car onto a track with launchers. The speed of the car is recorded every foot. Some of the data is shown

Arada [10]

Answer:

5 or less

Step-by-step explanation:

The speed increased linearly with distance, but is not decreasing linearly with distance. This suggests the track has an unknown shape, so prediction of car behavior is a guess, at best.

If the car continues to decrease its speed at 3 units per unit distance, then the final 3 units of speed will decrease to 0 in one additional unit of distance. That is, the car will stop at a distance of 5 units.

___

Since the car has be decreasing its speed at an increasing rate with respect to distance, very possibly the car will stop before it reaches distance unit 5.

Since we don't know the track shape, it seems possible the car may not stop until some large unknown number of distance units, say 10 or 1000.

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3 years ago

Show work and steps.

nirvana33 [79]

Answer:

Meh too much thx for point

Step-by-step explanation:

Meh too much thx for point

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2 years ago

What is 2.35 rounded to the nearest hundredth.

Sloan [31]

2.35 is already rounded to the nearest hundredth.

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2 years ago