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disa [49]
3 years ago
5

Find the y intercept​

Mathematics
2 answers:
erica [24]3 years ago
7 0

Step-by-step explanation:

Slope of line ST = Slope of line PQ = -3.

y = -3x + c

When x = 3, y = -1

=> (-1) = -3(3) + c, c = 8

Therefore the equation of line ST is y = -3x + 8 and the y-intercept is 8.

avanturin [10]3 years ago
7 0

Step-by-step explanation:

Hey there!

The given equation of line PQ is :

y = -3x -12.

<u>Comparing the equation with y = mx + c. We get;Slope (m1)= -3</u>

We know the condition of parallel lines is slope of 1st line = slope of 2nd line. (i.e m1=m2).

<em>Therefore</em><em>,</em><em> </em><em>slope </em><em>of </em><em>PQ=</em><em> </em><em>slope </em><em>of </em><em>ST </em><em>=</em><em> </em><em>-</em><em>3</em><em>.</em>

<em>Now,</em><em> </em><em>The </em><em>point </em><em>through</em><em> </em><em>which</em><em> </em><em>ST </em><em>passes </em><em>is </em><em>(</em><em>3</em><em>,</em><em>-</em><em>1</em><em>)</em><em> </em><em>and </em><em>we </em><em>found</em><em> </em><em>its </em><em>slope </em><em>as </em><em>-</em><em>3</em><em>.</em>

So, let's use one point formula.

<em>(y - y1) = m2(x - x1)</em>

<em>(y  + 1) =  - 3(x - 3)</em>

<em>y + 1 =  - 3x + 9</em>

<em>y =  - 3x + 8</em>

Comparing the equation with y = mx+c. We get y-intercept is "8".

Therefore, y-intercept is "8".

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Translating this verebal statement into a symbolic statement:

8 - 15/y = 13y.

Note: your statement would sound better if written as "8 minus the quotient of 15 and y equals the product of y and 13."

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Step-by-step explanation:

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mel-nik [20]

Answer:

Step-by-step explanation:

Hello!

You have the 95% CI for the mean [50; 70]

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Where the margin of error is the product of the statistic value due to the standard deviation of the distribution.

If you reduce the confidence level, the value of the statistic will be also reduced, so you would expect a shorter margin of error and amplitude for the 90% CI

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None of the given intervals corresponds to a 90% interval for the same sample as the first interval 50 to 70.

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I hope you have a SUPER day!

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