Answer:
(2x+1)(x+7)
Step-by-step explanation:
2x2+15x+7
For a polynomial of the form ax2+bx+c
, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅7=14 and whose sum is b=15
.
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2x2+x+14x+7
Factor out the greatest common factor from each group.
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x(2x+1)+7(2x+1)
Factor the polynomial by factoring out the greatest common factor, 2x+1
.
(2x+1)(x+7)
Answer:
6.2 units.
Step-by-step explanation:
We are given two angles and an opposite corresponding side. To solve for an unknown side, we can use the law of sines.

Cross multiplying and solving will get you this:

Which can simplify to:

Which putting into a calculator gets you:

So the line PR is 6.2 units long.
Answer:
The current of the water is 1.714 mph.
Step-by-step explanation:
Let the boat in t hours can travel 18 miles upstream, and 24 miles downstream.
Therefore, if the speed of the boat in still water is 12 mph and that of water is x mph , then we can write
........ (1) and
............ (2)
Now, adding those two equations (1) and (2) we get,
⇒ t = 1.75 hours.
Now, from equation (1) we get
⇒ x = 1.714 mph
Therefore, the current of the water is 1.714 mph. (Answer)