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Dmitry [639]
3 years ago
9

Write the equation of a line in slope-intercept form that is perpendicular to the line y = 3/5 = 1 and passes through the point

(-9, 4).
Mathematics
1 answer:
4vir4ik [10]3 years ago
4 0

The slope of the line y=\frac{3}{5} x-1 is m=\frac{3}{5}.

The line perpendicular to the above line has slope -\frac{1}{m} =-\frac{5}{3}

Its equation is y=-\frac{5}{3} x+c. Since this line passes through, (-9,4),

4=-\frac{5}{3} )(-9)+c\\ c=-11

Thus the equation of the line in slope intercept form is y=-\frac{5}{3} x-11

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HELP HELP HELPH EPLHEPLHEPLHEPLHEPLEP
Soloha48 [4]

<u>Answers:</u>

1a) y=-10/3x+90

1b) 20

1c) -18

2a) 2.8

2b) How much the heights of five basketball players vary from the average height.

----------------------------------------------------------------------------------------------------------------

<u>Explanations:</u>

<u>1a)</u> The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. <em>Our equation is now y=-10/3x+90.</em>

<u>1b) </u>To find when x=21, we plug 21 into our equation where the x is. Now we do the math.

y=-10/3(21)+90 (plug in)

y=-70+90 (simplify by multiplying -10/3 by 21)

y=20 (simplify by adding -70 to 90)

<em>Therefore, we can predict that when x is 21, y is 20.</em>

<u>1c) </u>To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.

150=-10/3x+90 (plug in)

60=-10/3x (subtract 90 from both sides

-18=x (divide both sides by -10/3)

<em>Therefore, we can predict that when y is 150, x is -18.</em>

----------------------------------------------------------------------------------------------------------------

<u>2a) </u>The mean absolute deviation (or MAD for short) of a data set is calculated as such:

<u>Step 1) </u>Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. <em>Therefore, our mean is 63.</em>

<u>Step 2) </u>Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean.  To do this, we subtract 63 from each number.

65-63=2

58-63=-5

64-63=1

61-63=-2

67-63=4

Some of these values are negative, but we're using absolute value so they all become positive. <em>We now have a new set of values: 2, 5, 1, 2, and 4.</em>

<u>Step 3)</u> Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. <em>Therefore, the MAD (and the answer to problem 2a) is 2.8.</em>

<u>2b)</u> Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.

Hope this helps!

3 0
3 years ago
Would the answer be b an d for this
Paladinen [302]
Answer by answer key by key question equals equation
3 0
3 years ago
Read 2 more answers
Write a compound inequality that represents the annual profits P ( in millions or dollars) from 2006 to 2013.
alisha [4.7K]

Answer:

(50000000 ≤ P ≤ 90000000)

Step-by-step explanation:

The chart represents annual profits in millions of dollars. From the chart, the least annual profit is 50 million dollars and that was is the year 2009.

The highest annual profit is 90 million dollars and that was is the year 2012.

The compound inequality representing the annual profits P(in millions or dollars) from 2006 to 2013 would be

(50000000 ≤ P ≤ 90000000)

7 0
3 years ago
A circular running track is 1/2 mile long. Elena runs on this track completing each lap in 6 minutes how long will it take Elena
Rainbow [258]

Answer:

36 mins

Step-by-step explanation:

0.5 miles/6 mins = 3 miles/x mins

In order to convert the ratio from 0.5 miles to 3 miles, 0.5 was multiplied by 6. Therefore, to keep the ratio the same, 6 minutes must also be multiplied by 6 to find x. This means the answer is:

3 miles/36 mins

7 0
3 years ago
Which property is illustrated by (7.3 + 5.1) + x = 7.3 + (5.1 + x)?
Troyanec [42]
C. assosiative property
as it follows the rule....

(a+b)+c = a+(b+c)

so c is the correct answer.....

HOPE IT HELPS YOU '_'
6 0
3 years ago
Read 2 more answers
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