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ivolga24 [154]
3 years ago
9

Which set of rectangular coordinates describes the same location as the polar coordinates (4,pi)?

Mathematics
2 answers:
Nuetrik [128]3 years ago
8 0

Answer:

(-4,0)

Step-by-step explanation:

Nataly [62]3 years ago
6 0

\bf (\stackrel{r}{4}~,~\stackrel{\theta }{\pi })\qquad \begin{cases} x=&rcos(\theta )\\ &4cos(\pi )\\ &4(-1)\\ &-4\\ y= &rsin(\theta )\\ &4sin(\pi )\\ &4(0)\\ &0\\ \end{cases}\qquad \implies (\stackrel{x}{-4}~,~\stackrel{y}{0})

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Answer:

The speed of the boat in still water is 18 mph.

The speed of the current is 2 mph

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

When the boat goes against the current, the speed is 16 mph. Assuming it traveled against the current while going upstream, its total speed would be (x - y) mph. It means that

x - y = 16  (equation 1)

Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its total speed would be (x + y) mph. It means that

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Adding both equations, it becomes

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