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liq [111]
2 years ago
14

What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4

x + y - 2 = 0?
A) 4 x - y = 13
B) 4 x + y = 13
C) 4 x + y = -13
Mathematics
2 answers:
Dmitry_Shevchenko [17]2 years ago
5 0
   
<span>The equation is:   4x + y + a = 0

Point (4, -3)  </span>⇒  x = 4  and  y = - 3<span>

</span>⇒ 4 · 4 - 3 + a = 0
<span>
16 - 3 +a = 0

13 + a = 0

a = -13

</span>Ansver:   equation is:   4x + y - 13 = <span>0     OR     4x + y = 13
</span>


Travka [436]2 years ago
4 0

Answer:

4x + y + a = 0

Point (4, -3)  ⇒  x = 4  and  y = - 3

⇒ 4 · 4 - 3 + a = 0

16 - 3 +a = 0

13 + a = 0

a = -13

Ansver:  4x + y - 13 = 0     OR     4x + y = 13

Step-by-step explanation:

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Answer:

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And we can find this probability using the normal standard table or excel and we got:

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The figure shows the calculation for this case.

Step-by-step explanation:

Previous concepts

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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".  

Solution to the problem

Let X the random variable that represent the hardness of a population, and for this case we know the distribution for X is given by:

X \sim N(48.5,2)  

Where \mu=48.5 and \sigma=2

We are interested on this probability

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

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

P(X

And we can find this probability using the normal standard table or excel and we got:

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The figure shows the calculation for this case.

5 0
3 years ago
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RSB [31]

Answer:

m = 54

Step-by-step explanation:

The secant- secant angle 20° is half the difference of the intercepted arcs, that is

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- 2m + 148 = 40° ( subtract 148 from both sides )

- 2m = - 108 ( divide both sides by - 2 )

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4 0
2 years ago
Read 2 more answers
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masha68 [24]

Answer:

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Step-by-step explanation:

To do this we can set up a proportion

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Let's evaluate this

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We cannot simplifiy this anymore, so we will leave it as an improper fraction, or a mixed number as shown below

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Hatshy [7]

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Step-by-step explanation:

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5 0
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Sergio [31]

Answer:

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Step-by-step explanation:

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so, what times 3 = -15

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