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kari74 [83]
3 years ago
14

Find c such that (−3,−8), (−7,−6), and (c,4) lie on a line.

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0
If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.

Thus, 

         -6 - (-8)         2
m = ------------- = -------- = -1/2
         -7 - (-3)         -4

Then the following must be true:

             4-(-6)          10
-1/2 = ------------ = ---------
             c - (-7)       c + 7

Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
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Kerry skates laps around the playground.
Zarrin [17]
So to start this off, we need to find the area of the playground. We can simply multiply 150*2 and 50*2, and we get 300 and 100. Add those together and we get 400m.
Now, we can identify the number of laps it takes. But first, we have to convert kilometers into meters. there are 1000 meters in 1 km, so we will use 1000 to find the answer
Now, we can do 1000/400 to find the answer, which is 2.5 
Therefore, it will take Kerry 2.5 laps to skate around the entire park

Answer: 2.5 laps

Hope this helped!!! :D
3 0
4 years ago
A large dump truck uses 1,318 gallons of fuel in one day of work. How many gallons of fuel are needed if the truck works for 5 d
Andreyy89

Answer:

6,590 Gallons

Step-by-step explanation:

1,318 x 5 = <em>x</em>

<em>x</em> = 6,590

5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP
Svetradugi [14.3K]
The area ratio is 1:16 meaning that the old area is 1 while the new area is 16. So this is another way of saying "the area is multiplied by 16"

Take the square root of each part of the ratio of 1:16 and we get 1:4

So this is the scale factor. It tells us how the linear components of the circles relate to one another. If the circumference of the smaller circle is 1,then the larger circle has a circumference of 4.

Therefore, the circumference has been multiplied by 4
4 0
3 years ago
What is the volume of the can below? Use<br> 3.14 and round your answer to the nearest tenth.
Mamont248 [21]

Answer:

328,268.16

Step-by-step explanation:

3.14r^2h

3.14(33)(33)(96)

= 328,268.16

4 0
3 years ago
Read 2 more answers
Someone please help me
earnstyle [38]

(22 + 15.50 + 2.75) 15

(22 * 15) + (15.50 * 15) + (2.75 * 15)

4 0
3 years ago
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