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Nina [5.8K]
4 years ago
8

Please solve the inequality and explain

Mathematics
1 answer:
bogdanovich [222]4 years ago
8 0

Answer:3m + 12 < 24

3m + 12 - 12 < 24 - 12

3m < 12

3/3m < 12/3

m < 4

Step-by-step explanation: Please solve the inequality and explain

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3 years ago
A boat leaves a dock and travels 9 miles due north and 12 miles due west. Find how far the boat is from the dock. Type the corre
adelina 88 [10]

Answer:

15 miles

Step-by-step explanation:

Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).

Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = \sqrt{9^2+12^2} =\sqrt{81+144} =\sqrt{225} =15

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3 years ago
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musickatia [10]

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6 0
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