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Anna35 [415]
3 years ago
15

What is the equation of a line, in point -slope form, that passes through (-8, 1) and has a slope of 5/6? -3/4

Mathematics
1 answer:
Anni [7]3 years ago
4 0

9514 1404 393

Answer:

  y -1 = 5/6(x +8)

Step-by-step explanation:

The point-slope equation of a line is ...

  y -k = m(x -h) . . . . . line through point (h, k) with slope m

For point (-8, 1) and slope 5/6, the equation is ...

  y -1 = 5/6(x +8)

_____

<em>Additional comment</em>

If you want a line with slope -3/4 through the same point, change 5/6 to -3/4:

  y -1 = -3/4(x +8)

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What is the solution to the system of equations below?
Karolina [17]

Answer:

The solution is the point (18,0)

Step-by-step explanation:

we have

y=-\frac{1}{3}x+6 -----> equation A

y=\frac{1}{3}x-6 -----> equation B

Solve the system by substitution

substitute equation B in equation A

\frac{1}{3}x-6=-\frac{1}{3}x+6

solve for x

Adds (1/3)x both sides

\frac{1}{3}x-6+\frac{1}{3}x=6

\frac{2}{3}x-6=6

Adds 6 both sides

\frac{2}{3}x=6+6

\frac{2}{3}x=12

x=12(3)/2\\x=18

<em>Find the value of y</em>

substitute the value of x in equation A or equation B

y=-\frac{1}{3}(18)+6=0

therefore

The solution is the point (18,0)

3 0
3 years ago
Read 2 more answers
graph shows the favorite colors chosen by some middle school students. Favorite Colors Red Yellow Orange Blue Color Green Black
Anna11 [10]

Answer:

A

Step-by-step explanation:

you get the numbers then divide after you have multiplied and then just find the distribution of the subtracted number :)

8 0
3 years ago
I don't know how to do
Sedbober [7]

Answer:

20

Step-by-step explanation:

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7 0
3 years ago
Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided o
Irina-Kira [14]
Your points are (1.5,0) and (0,3.5)

The equation for slope-intercept is y2-y1 over x2-x1

3.5-0 over 0-1.5

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3 0
3 years ago
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The scheduled arrival time for a daily flight from Boston to New York is 9:35 am. Historical data show that the arrival time fol
Lady_Fox [76]

Answer:

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean is:

M = \frac{a+b}{2}

The standard deviation is:

S = \sqrt{\frac{(b-a)^{2}}{12}}

Arrival time of 9:18 am and a late arrival time of 9:41 am.

9:41 is 23 minutes from 9:18. So the time is uniformily distributed between 0 and 23 minutes, so a = 0, b = 23.

Mean:

M = \frac{a+b}{2} = \frac{0+23}{2} = 11.5

Standard deviation:

S = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(23 - 0)^{2}}{12}} = 6.64

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

8 0
3 years ago
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