Polar form of (x+6)^2 +y^2=36
1 answer:
Answer:
r = -12cos(θ)
Step-by-step explanation:
The usual translation can be used:
- x = r·cos(θ)
- y = r·sin(θ)
Putting these relationships into the formula, we have ...
(r·cos(θ) +6)² +(r·sin(θ))² = 36
r²·cos(θ)² +12r·cos(θ) +36 +r²·sin(θ)² = 36
r² +12r·cos(θ) = 0 . . . . subtract 36, use the trig identity cos²+sin²=1
r(r +12cos(θ)) = 0
This has two solutions for r:
r = 0 . . . . . . . . a point at the origin
r = -12cos(θ) . . . the circle of interest
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Answer:
The distance between zoo and library is 200 feet....
Step-by-step explanation:
Look at the picture. As the figure describes,
Let H denote the position of Helicopter.
Z denote the position of Zoo.
and L denote the position of library.
Hence, we will firstly find the distance between G and zoo and then we find the distance between G and library and subtract the first distance from second to obtain the distance between zoo and library.
In ΔHGZ.
tan 60°=HG/GZ
√3=100√3/GZ
Hence, GZ=100 feet.
Similarly in ΔHGL
tan 30°=HG/GL
1/√3=100√3/GL
GL=300 feet.
Hence, the distance between zoo and library is:
GL-GZ
=300-100
=200 feet.
Hence, the distance between zoo and library is 200 feet....
Number two should correspond for the graphs, with graph paper, just follow the color coded lines. Hope this helps.
