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SOVA2 [1]
3 years ago
5

Use the points (1, -3) and (5, 9) for the following problems. a. Determine the slope between the two points above using the slop

e formula. Show all work.
b. Use the slope from part (a) and one point from above to write the equation in point-slope form.
Mathematics
1 answer:
elena55 [62]3 years ago
6 0

Slope =3

process--

\frac{9- (-3)}{5-1}=\frac{12}{4} =3

Point-slope form is 3x-y-6=0 (using the first set of points, (1,-3) )

process--

y-9=3(x-5)

y-9=3x-15

y=3x-15+9

y=3x-6

<u><em>3x-y-6=0</em></u>

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Elena L [17]

Answer:

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

Step-by-step explanation:

<u>Earth</u> takes 365 days to make a complete revolution.

we can say that the rotational speed of Earth is \dfrac{1}{365}\frac{\text{rev}}{\text{day}}

so, in a 1000 days how many revolutions will Earth have made?

\dfrac{1}{365}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})

see that the 'day's cancel out. Simply multiply the two numbers!

2.739\text{rev}

<u>Next, do the same for Mercury</u>

we can say that the rotational speed of Mercury is \dfrac{1}{88}\frac{\text{rev}}{\text{day}}

as it completes 1 revolution in 88 days.

so, in a 1000 days how many revolutions will Mercury have made?

\dfrac{1}{88}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})

multiplying by 1/88 by 1000 yields:  

11.363\text{rev}

The Question is how many MORE complete revolutions will Mercury make in 1000 days?

We need to subtract the revolutions of Mercury with Earth to find how far ahead is Mercury from Earth

11.363\text{rev} - 2.739\text{rev}

8.624\text{rev}

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

5 0
3 years ago
ANSWER ASAP CORRECT ANSWER WILL GET BRAINLIEST PLUS 78 POINTS
tino4ka555 [31]

9514 1404 393

Answer:

  C)  462

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
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\mathbb E(X)=\int_7^{26}\dfracx{26-7}\,\mathrm dx=\dfrac{33}2=16.5

which follows from the definition for expected value,

\mathbb E(X)=\int_{-\infty}^\infty xf_X(x)\,\mathrm dx

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4 years ago
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raketka [301]

Answer:

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Step-by-step explanation:

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