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lina2011 [118]
3 years ago
6

Write an equation that passes through (4,5) and is parallel to (11,4)

Mathematics
1 answer:
Leona [35]3 years ago
5 0

\boxed{y-5=-\frac{1}{7}(x-4)}

<h2>Explanation:</h2>

As I understand you need the equation of the line that passes through the point (4,5) \ and \ (11,4), So the point-slope form of the equation of a line is given by:

y-y_{1}=m(x-x_{1}) \\ \\ \\ Where: \\ \\ (x_{1},y_{1}):A \ point \ on \ the \ line \\ \\ m:Slope

So:

y-y_{1}=m(x-x_{1}) \\ \\ \\ m=\frac{4-5}{11-4} \\ \\ m=-\frac{1}{7} \\ \\ \\ So: \\ \\ y-5=-\frac{1}{7}(x-4)

<h2>Learn more:</h2>

Parallel lines: brainly.com/question/12169569

#LearnWithBrainly

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krek1111 [17]
Let the numbers be x and y.  Then xy = -30 and  x+y = -3.

Solve xy = -30 for y:    y = -30/x

subst. -30/x for y in   x+y= -3:     x  -  30/x = -3

Multiply all 3 terms by x:  x^2 - 30 = -3x, so   x^2 + 3x - 10 = 0

Solve this quadratic equation for x.     x: {-5, 2}

If x = -5, then   x+y = -3 becomes -5 + y = -3, and y = 2.

You should check to determine whether x=2 is also correct.  If it is, what is the corresponding y value?
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The sum of 3 consecutive even numbers is 270 what is the first number in this sequence?
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See picture for answer and solution steps.

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Solve for x.<br> 5<br> 10<br> 12<br> 13
zysi [14]

Answer: B)  4 & 1/6

Nice work on getting the correct answer.

============================================================

Explanation:

x is opposite the marked acute angle

5 is opposite the corresponding acute angle

So x and 5 are proportional to each other. We can form the ratio x/5

Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.

Set those ratios equal to each other and solve for x

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12x = 5*10 ... cross multiply

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x = 50/12 ...... divide both sides by 12

x = (25*2)/(6*2)

x = 25/6

x = (24+1)/6

x = 24/6 + 1/6

x = 4 + 1/6

x = 4 & 1/6 which shows why <u>choice B</u> is the answer.

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erastovalidia [21]

Answer:

z=0.524

And if we solve for a we got

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Step-by-step explanation:

Let X the random variable that represent the lenght time it takes to find a parking space at 9AM of a population, and for this case we know the distribution for X is given by:

X \sim N(5,2)  

Where \mu=5 and \sigma=2

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.3   (a)

P(X   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.7 of the area on the left and 0.3 of the area on the right it's z=0.524

If we use condition (b) from previous we have this:

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P(z

But we know which value of z satisfy the previous equation so then we can do this:

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And if we solve for a we got

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3 0
3 years ago
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