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raketka [301]
3 years ago
15

(4,-5) reflected over y = x

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
5 0
Answer: (-5,4)

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).
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A cyclist travels at 20 kilometers per hour when cycling uphill, 24 kilometers per hour when cycling on flat ground, and 30 kilo
Dvinal [7]

Answer:

Their average speed during the entire round trip = 24 miles per hour

Step-by-step explanation:

To determine:

What was their average speed during the entire round trip?

Information Fetching and Solution Steps:

  • A cyclist travels at 20 kilometers per hour when cycling uphill
  • 24 kilometers per hour when cycling on flat ground
  • 30 kilometers per hour when cycling downhill

On a sunny day, they cycle the hilly road from Aopslandia to Beast Island before turning around and cycling back to Aopslandia.

Let us assume that that the road is uphill one way and downhill the other way

As we know that the formula of average speed

Average\:speed=\:\frac{Total\:Distance\:\:Covered}{Total\:Time\:taken\:to\:cover\:the\:distance}\:\:

  • As\:they\:do\:an\:out\:and\:back\:trip

The\:up\:and\:down\:portions\:reverse\:and\:the\:flat\:remains\:the\:same

On the way out:

Say              

60\:miles\:up\:hill=\:3\:hours

flat\:48=\:2\:hrs

down\:120=4\:hrs

on the way back:

up\:120\:=\:6\:hrs

flat\:48=\:2\ hrs

down\:60=\:2\:hrs

So,

total\:miles\:=\:456\:miles

total\:time\:=\:19\:hrs\:\:\:

As

Average\:speed=\:\frac{Total\:Distance\:\:Covered}{Total\:Time\:taken\:to\:cover\:the\:distance}\:\:

Therefore,

Average\:speed=\:\frac{456}{19}\:\:\:

                        = 24 miles per hour

Hence, their average speed during the entire round trip = 24 miles per hour

Keywords: speed, time, average speed

Learn more about average speed from brainly.com/question/13159889

#learnwithBrainly

6 0
3 years ago
Please Do My Homework! Due At 11:00PM
Katarina [22]

Answer:

ur welcome

Step-by-step explanation:

1. 1 3/20

2. 2 4/5

3. a

4. c

5. 1/20

6. 1/5

7.2/15

8. 1/10

3 0
3 years ago
Read 2 more answers
6 Find the equivalent ratio for 64%. Write your answer in simplest form.
Snowcat [4.5K]

solution

Find the equivalent ratio for 64%. Write your answer in simplest form.​

For this case we can do the following:

64% = 64/100

And if we simplify we got:

64/100 = 32/50 = 16/25 = 0.64

5 0
1 year ago
24 divided by 111 in a decimal number
MissTica

Answer:

.216

Step-by-step explanation:

6 0
3 years ago
Can someone help I think it is -15.
Vikki [24]
I believe that -15 is the answer
3 0
3 years ago
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