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just olya [345]
3 years ago
13

Find the distance between two points (-6,2) and (2,7)

Mathematics
1 answer:
Sever21 [200]3 years ago
7 0

Answer:

√89   (decimal: 9.43398...)

Step-by-step explanation:

Call one point Point 1 (x1,y1) and make the other Point 2 (x2,y2).

apply rule -(-a) = a

√(2 + 6)^2 + (7 - 2)^2

add the numbers: 2 + 6 = 8

√8^2 + (7 - 2)^2

subtract the numbers: 7 - 2 = 5

√8^2 + 5^2

8^2 = 64

√64 + 5^2

5^2 = 25

√64 + 25

add the numbers: 64 + 25 = 89

= √89

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Samuel can do 120 jumping jacks in two minutes.
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Answers:

What is the ratio?         120:2

What is the unit rate?   60:1

What is the rate?          60 jumping jacks per minute

===================================================

Further Explanation:

To find the ratio of jumping jacks to minutes, you just write the two values 120 and 2 separated by a colon. That's how we get 120:2 as our first answer.

--------

Once we have 120:2, we divide both parts by 2 to get 60:1

120/2 = 60

2/2 = 1

The reason why we do this is so that the "2 minutes" turns into "1 minute". A unit ratio has the time value in unit increments so we can see how many jumping jacks Samuel can do. Writing "60:1" means "60 jumping jacks in 1 minute"

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Saying "60 jumping jacks in 1 minute" is the same as saying "60 jumping jacks per minute", which is similar to a car's speed of something like 60 miles per hour. The unit "X per Y" is the template for speed, where X is the number of items you get done and Y is the unit of time. In this case, X = 60 jumping jacks and Y = 1 minute.

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3 years ago
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Answer:

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At a museum shop, Alysa bought two books for $28.50 and some cards for $3.25 each. Her total purchase came to $44.75. How many c
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