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Grace [21]
2 years ago
6

A car and a motorcycle leave the city at the same time and drive to a lake that is 120 km away. The speed of the motorcycle is 2

0 km per hour greater than the speed of the car, so the motorcycle arrives at the lake 1 hour before the car. Find the speed of the car and the speed of the motorcycle. Plz answer fast!!
Mathematics
2 answers:
Firlakuza [10]2 years ago
5 0

Answer:

Speed of the car is 40 km/h

Speed of the motorcycle is 60 km/h

iris [78.8K]2 years ago
3 0

Answer:

  • 40 km/h and 60 km/h

Step-by-step explanation:

Let the speed of the car is x, then the speed of motorcycle is x + 20

The distance = 120 km

<u>Time:</u>

  • 120/x = 120/(x + 20) + 1
  • 120(x + 20) = 120x + x(x +20)
  • 120x + 2400 = 120x + x² + 20x
  • x² + 20x = 2400
  • x² + 2*10x + 10² = 2500
  • (x + 10)² = 50²
  • x  + 10 = 50
  • x = 40

Speed of the car is 40 km/h

Speed of the motorcycle is 60 km/h

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3 years ago
What is the distance between (-6,2) and (8,10) on a coordinate grid
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Step-by-step explanation:

To find the distance, you can subtract or add numbers.

So from (-6, 2) to 0, I have to move right 6 spaces to get (0, 2).

Then, I must move 8 to the right to get (8, 2).

From here, I continue to move up 8 since we want to get to (8,10). So in all, you should move 14 spaces to the right and 8 up (14, 8).

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3 years ago
Complete the square x^2-10=16<br><br>​
Hatshy [7]

Answer:

(x - 5)² = 41

Step-by-step explanation:

* Lets revise the completing square form

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# Remember c must be positive because it is = h²

* Lets use this form to solve the problem

∵ x² - 10x = 16

- Lets equate 2h by -10

∵ 2h = -10 ⇒ divide both sides by 2

∴ h = -5

∴ h² = (-5)² = 25

∵ c = h²

∴ c = 25

- The completing square is x² - 10x + 25

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- We will add 25 and subtract 25 to the equation to make the

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∴ x² - 10x + 25 - 25 = 16

∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides

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* Use the rule of the completing square above

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Fatima wants to add a 20% tip on a $56 restaurant bill.
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Answer:

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Step-by-step explanation:

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Hope this helps :)

4 0
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8 0
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