Which equation represents the polar form of x2 + (y + 4)2 = 16?
Answers
The polar form of equation is r = -8sinθ.
What is polar form of complex number?
The combination of the complex number's modulus r and argument is how complex numbers are shown in polar form z = r cosθ + i r sinθ = r (cosθ + i sinθ), is the polar form of a complex number with coordinates (x, y). In the coordinate system, polar coordinates of real and imaginary numbers are used to represent the polar form.
Given x² + (y + 4)² = 16
here The following is the relationship between (r, θ) and (x, y) if they are in Cartesian form:
x = rcosθ, y = rsinθ and r² = x² + y² ad tanθ = y/x
x² + (y + 4)² = 16
x² + y² + 16 + 8y = 16
x² + y² + 8y = 0
r² + 8rsinθ = 0
r(r + 8sinθ) = 0
r =0 and r = -8sinθ
Hence the polar form of equation is r = -8sinθ.
Learn more about polar form of complex number;
#SPJ2
Answer:
c. r=-8sin(theta)
Step-by-step explanation:
edge 2021
Related Questions
Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. (Round your answers to the nearest whole number.) 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77 (a) Find the percentile of 37. th percentile (b) Find the percentile of 72. th percentile
Marcus likes Nike sneakers. He paid $195 for a sneaker that originally cost $245. What is the percent discount of his purchase?
Factor the following expression: 7x + 28x2 + 21x
What are the x and y components of a vector a with arrow in the xy plane if its direction is 170° counterclockwise from the positive direction of the x axis and its magnitude is 8.8 m?
people per square mile.
Answers
Answer:
The population density is 618.93 per square mile.
Step-by-step explanation:
It is given that,
No. of people, N = 70,000
The radius of a city's town hall, r = 6 miles
We need to find the population density. It can be calculated by the formula i.e. number of people divided by area of land such that,
So, the population density is 618.93 per square mile.
Answers
Answer:
Atrianglethathasnoequalsidesisascalenetriangle.
Answers
16 + (10/5) - (3*2)
16 + (2) - (6)
16 + 2 - 6
18 - 6
12. Your answer is true!
Answers
Answer:
18.75 miles
Step-by-step explanation:
1 hour = 60 minutes
2.5 Hours = 150 minutes
10 miles _____> 80 minutes
x_______> 150 minutes
x= ( 150 * 10) / 80
= 1500/80
x= 18.75 miles
easy
Answer:
Step-by-step explanation:
10 miles- 80 minutes
?- 150 minutes
1500+80x
X= 10.75 miles
Answers
Answer:
Step-by-step explanation:
2
2 minus signs multiplied together give a plus. The number line I'm using does not have any y values.
Answer:
-2
Step-by-step explanation:
Answers
Answer:
81 Invitations, 27 times 3 = 81
Step-by-step explanation: