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marin [14]
3 years ago
13

What’s the point slope form of an equation the has a slope of: (-1/6)

Mathematics
2 answers:
Maslowich3 years ago
4 0

Answer:

y+4 = -1/6(x-9)  point slope

y = -1/6x -2.5  slope intercept

Step-by-step explanation:

The point slope form is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is the point

y- -4 = -1/6(x-9)

y+4 = -1/6(x-9)

Distribute to get to slope intercept form

y+4 = -1/6x +9/6

y+4 = -1/6x +3/2

Subtract 4 from each side

y+4-4 = -1/6x +3/2 -4

y = -1/6x +3/2 -8/2

y = -1/6x -5/2

y = -1/6x -2.5

Serggg [28]3 years ago
4 0

Answer:

y + 4 = -⅙(x - 9)

Step-by-step explanation:

y - y1 = m(x - x1)

y - (-4) = (-1/6)(x - 9)

y + 4 = -⅙(x - 9)

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Ilya [14]

Answer:

Bottom left choice

Step-by-step explanation:

SSS congruence is side-side-side congruence, which is a method to prove triangles congruent by all three sides of the triangle being congruent. The other choices all involve congruent angles. Therefore, the bottom left choice is the best answer.

Also, notice that the bottom left choice shows which side is congruent to which. All three sides of one of the triangles are shown to be congruent with the corresponding side to the other triangle, therefore, congruent by SSS.

I hope this helps! :)

8 0
3 years ago
Based on historical data, your manager believes that 41% of the company's orders come from first-time customers. A random sample
TEA [102]

Answer:

The probability that the sample proportion is between 0.35 and 0.5 is 0.7895

Step-by-step explanation:

To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.

z-score of the sample proportion is calculated as

z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of first time customers
  • p is the proportion of first time customers based on historical data
  • N is the sample size

For the sample proportion 0.35:

z(0.35)=\frac{0,35-0.41}{\sqrt{\frac{0.41*0.59}{72} } } ≈ -1.035

For the sample proportion 0.5:

z(0.5)=\frac{0,5-0.41}{\sqrt{\frac{0.41*0.59}{72} } } ≈ 1.553

The probabilities for z of being smaller than these z-scores are:

P(z<z(0.35))= 0.1503

P(z<z(0.5))= 0.9398

Then the probability that the sample proportion is between 0.35 and 0.5 is

P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895

6 0
3 years ago
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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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