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vagabundo [1.1K]
3 years ago
12

Which point lies on the line with point-slope equation y-2=5(x-6)

Mathematics
1 answer:
Leviafan [203]3 years ago
6 0

The numbers inside the brackets determine which point lies on the line.

The general formula is

y - h = m(x - k)

The point that lies on the line however is (h,k) both turn to the opposite sign.

So in your case the point is (6,2). I have made a graph to show you that this is true. No other point is possible.

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The graph shows the altitude of a helicopter over time. A graph measuring altitude and time. A line runs through coordinates (0,
TiliK225 [7]

We can calculate for the slope of the line using the formula:

m = (y2 – y1) / (x2 – x1)

 

From the given values:

m = (4,000 – 10,000) ft / (15 – 0) min

m = -400 ft/min

This means that the altitude is decreasing by 400 ft per minute.

 

 

> The slope is –400 . This means that the helicopter descends 400 ft each minute.

4 0
3 years ago
The measurement of the complement of an angle exceeds the measure of the angle by 25%. Find the measurement of the angle and its
tester [92]
Let the angles be A and C 

<span>Complimentary angles, therefor </span>
<span>A + C = 90 </span>

<span>The measurement of the complement of an angle exceeds the measure of the angle by 25% (you used a % sign so I'll use % instead of degrees) </span>
<span>C = 1.25A </span>

<span>Substitute </span>
<span>A + 1.25A = 90 </span>
<span>2.25A = 90 </span>
<span>A = 40º <----- </span>
<span>C = 50º <----- </span>
<span>------------------------------ </span>

<span>If you meant 25º </span>
<span>A + (A + 25) = 90 </span>
<span>2A + 25 = 90 </span>
<span>2A = 65 </span>
<span>A = 32.5º </span>
<span>C = 57.5º</span>
3 0
3 years ago
Josie and her brothers and sisters measured their heights and found the mean averageThe mean was 150cmJosie forgot her height. C
Andrei [34K]

Answer:

135 cm

Step-by-step explanation:

Let Jose's height = x

The mean of their heights = 150

Given the Heights:

150cm, 170cm, 140cm, 155cm

The mean is the sum if the heights divided by the number of people

Here :

(150 + 170 + 140 + 155 + x) / 5 = 150

(615 + x) / 5 = 150

615 + x = 750

x = 750 - 615

x = 135 cm

8 0
3 years ago
What is the relationship between the degree measure of the angle formed by the straight edges of a section of a circle graph as
Butoxors [25]

Answer:

  degree measure = 360° × percent of data

Step-by-step explanation:

The ratio of the degree measure of a sector of a circle graph to 360° is the same as the ratio of the represented data to the whole amount of data.

The idea of a circle graph is that the area of the sector is proportional to the data being represented. That is, if the data represented is 10% of the whole, then the sector area is 10% of the whole. Sector area is proportional to the degree measure of its central angle, so the example sector would have a central angle of 10% of 360°, or 36°.

The ratio of the central angle of the sector to 360° is the same as the percentage of data that sector represents.

7 0
3 years ago
An inlet pipe can fill an empty swimming pool in 7 hours, and another inlet pipe can fill a pool in 2 hours. How long will it ta
Naddika [18.5K]
To do this, you have to make it like this: 



4 0
3 years ago
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