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ira [324]
3 years ago
7

Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°.

Mathematics
2 answers:
grin007 [14]3 years ago
7 0
(4√2, 225°), (-4√2, 45°)
KatRina [158]3 years ago
4 0

The point (4, -4) lies in Quadrant IV. Since we are interested only in positive angles, we choose 315 degrees with a radius (magnitude) of 4√2. That automatically eliminates Answer Choices A, B and C, so all we have to do now is to verify that (-4√2, 135 degrees) also represents (4, -4). It does: Going to Quadrant II with angle 135 degrees, and then using -4√2 as the magnitude, takes us to Quadrant IV.

Thus, D is the correct answer.

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14 and 15, please :p explanation would also be appreciated!!
liraira [26]
14. B (4, -2)
15. I am not exactly sure about this one but I would say either A or B.
8 0
3 years ago
Solve by substitution. Please show work!!!<br> x+4y=-3<br> x+7y=-12
marshall27 [118]

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x = 9

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6 0
3 years ago
Solve the system by the<br> substitution method.<br> 7x + y = -6<br> 7x - 3y = 18
Elodia [21]

Answer:

Stdivise 7 aep-by-step explanation:

7 0
3 years ago
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What is five times that quantity​
yawa3891 [41]

Answer:

basically multiplication, (that quantity) times 5

Step-by-step explanation:

6 0
2 years ago
A car travels 28 miles south and then 45 miles east around a lake. A boat leaves from the same place and arrives at the same pla
alexandr402 [8]

Answer:

The car travelled 73 miles

The boat travelled 53 miles

The car arrived 17.7 minutes before the boat

Step-by-step explanation:

The total distance the car travelled from Point A to Point B = 28+45 = 73 miles

The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.

Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes

Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.

The time taken by the car is the shortest, therefore it arrives first before the boat.

(◔‿◔)

8 0
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