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3 years ago

Write the equation of a line in slope-intercept form parallel to the line y = -2x + 7 and contains (-1, 3).

Mathematics

1 answer:

JulsSmile [24]3 years ago

7 0

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = - 2x + 7

Comparing with the general equation above

Slope = - 2

Since the lines are parallel their slope are also the same

Slope of parallel line = - 2

The equation of the line using point (-1, 3) and slope - 2 is

$y - 3 = - 2(x + 1) \\ y - 3 = - 2x - 2 \\ y = - 2x - 2 + 3$

We have the final answer as

$y = - 2x + 1 \\$

Hope this helps you

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3 years ago

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Help for geometry asap

Llana [10]

<u>Given</u>:

Four lines are marked proportion, the length of TW can be determined by

$TW=a+4+b$

<u>Value of a:</u>

Let us set the proportion for the given lines.

Thus, we have;

$\frac{a}{7}=\frac{4}{5}$

$5a=28$

$a=5.6$

Thus, the value of a is 5.6

<u>Value of b:</u>

Let us set the proportion for the given lines.

Thus, we have;

$\frac{4}{5}=\frac{b}{5}$

$20=5b$

$4=b$

Thus, the value of b is 5.

<u>Length of TW:</u>

The length of TW is given by

$TW=5.6+4+4$

$TW=13.6$

Thus, the length of TW is 13.6

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3 years ago

Cherise has a bag of marbles for her little sister. It contains 10 orange marbles, 7 yellow marbles, and 3 green marbles. She dr

NemiM [27]

The probability that all marbles are yellow is
(7/20) (7/20) (7/20) = 343/8000

We are given
x = 2 and 3
u = 2.5
s = 0.5

Getting the z score
z = (2 - 2.5) / 0.5 and (3 - 2.5)/ 0.5
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3 years ago

Video streaming company A charges a one-time $40 membership fee and $2 per video stream. Video streaming company B charges a one

Pie

Let's begin ! ^_^

You have got informations in your problem that you just have to translate in a "mathematic language".

Company A :
"$40 membership fee and $2 per video stream."

Thanks to that, you can guess :
c = 40 + 2s

Now let's do the same thing to the company B.

Company B :
"charges a one-time $20 membership fee and $4 per video stream."

Therefore, c = 20 + 4s.

I think you have guessed !! =D And yes the system of equation that you have to solve and you're looking for is :

{c=40+2s ( Option B)
c=20+4s.

Second step : For how many video streams will the cost be the same for both companies?

We just have to solve the system :) And there is only one variable, the letter "s".

We know that we have to find equal costs as it is said in the question " the cost be the same for both companies", so :

=> 40 + 2s = 20 +4s
=> 4s - 2s = 40 - 20
=> 2s = 20
=> s = 20/2
=> s = 10

Verification :

Company A :
=> 40 + 2s = 40 + 2*10 = 40 + 20 =60.

Company B :

=> 20 + 4s = 20 + 4*10 = 20 + 40 = 60

As you have seen, the costs are the same for both companies.

We can say that as a conclusion for 10 video streams, the cost will be the same for both companies.

In short, the answer would be : 10.

Let me give you an advice : Usually the word "per" means a multiplication is the mathematic language.

Hope this helps !

Photon

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3 years ago

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MMMM

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MMFM

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FMMM

FFFM

FFMF

FMFF

MFFF

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MFFM

FFMM

FMMF

FMFM

b) P(MMMM) = 1/16

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