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Aleks04 [339]
3 years ago
14

Write the standard form of line that passes through (1,5) and (-2,3)

Mathematics
1 answer:
STatiana [176]3 years ago
7 0

Answer:

2/3x - y = -13/3

Step-by-step explanation:

Step 1: Find slope <em>m</em>

m = (3 - 5)/(-2 - 1)

m = -2/-3

m = 2/3

y = 2/3x + b

Step 2: Find <em>b</em>

5 = 2/3(1) + b

5 = 2/3 + b

b = 13/3

Step 3: Write equation in slope-intercept form

y = 2/3x + 13/3

Step 4: Move 2/3x over

-2/3x + y = 13/3

Step 5: Factor out -1

-1(2/3x - y) = 13/3

Step 6: Divide both sides by -1

2/3x - y = -13/3

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Find the missing side
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Answer:

12.94811641 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 44 = x /18

18 cos 44 =x

12.94811641 =x

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Answer:

#5 -1.75, 2.5, -0.2

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Step-by-step explanation:

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a

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3 years ago
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Can someone please explain to me how to do numbers 2 and 3??
LenaWriter [7]
The answer to question 3 is 1 person orders chicken and the other 5 had steak dinner.

the way you work this out is you half 6 which is three and then do 3x14 and 3x17
3x14=42
3x17=51
42+51=93
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6 0
3 years ago
The number of text messsages that teenagers send per month is normally
ki77a [65]

Answer:

z=\frac{4415-3400}{450}=2.26

And the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Calculate the z score

Let X the random variable that represent the number of text messages per month, and for this case we know the distribution for X is given by:

X \sim N(3400,450)  

Where \mu=3400 and \sigma=450

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

z=\frac{4415-3400}{450}=2.26

And the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"

6 0
3 years ago
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