1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NikAS [45]
3 years ago
15

Polar form of (x+6)^2 +y^2=36

Mathematics
1 answer:
Sindrei [870]3 years ago
4 0

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

You might be interested in
Two walkers 16 miles apart travel toward each other. One travels 3 miles per hour, and the other 4 miles per hour. If the latter
lapo4ka [179]

Answer:

28

For This Question

if you need steps ask me

7 0
2 years ago
What goes on the first blank tick mark?
Lubov Fominskaja [6]

Answer:

24

Step-by-step explanation:

The number line should read 18, 24, 30, 36, 42. There is a spacing of 6 units between each tick mark.

Good luck.

Hope this helps!

7 0
2 years ago
Which expression is equivalent to –5(x + 10)? F. 5x + 50 G. −5x + 10 H. −5x − 50 I. 5x − 50
Sveta_85 [38]

Answer:

H) -5x - 50

Step-by-step explanation:

(-5 · x) + (-5 · 10) = -5x - 50

6 0
2 years ago
Evaluate the expression 0.03[3-0.5
Dafna11 [192]
0.03(3-0.5)
0.03(2.5)
0.075
8 0
3 years ago
A square is inscribed in a circle with an area of 10 pi square inches. what is the area of the square
Naddik [55]
We need to determine the radius and diameter of the circle.  If the area of the circle is 10 pi in^2, then, according to the formula for the area of a circle,

A = 10 pi in^2 = pi*r^2.  Thus, 10 in^2 = r^2, and r = radius of circle = sqrt(10) in.

Thus, the diam. of the circle is 2sqrt(10) in.  This diam. has the same length as does the hypotenuse of one of the triangles making up the square.

Thus, [ 2*sqrt(10) ]^2 = x^2 + x^2, where x represents the length of one side of the square.  So, 4(10) in^2 = 2x^2.  Then:
                                 40 in^2  = 2x^2, or 20 in^2 = x^2, and so the length x of one side of the square is sqrt(20).  The area of the square is the square of this result:

Area of the square = x^2 = [ sqrt(20) ]^2 = 20 in^2 (answer).  Compare that to the 10 pi sq in area of the circle (31.42 in^2).
8 0
3 years ago
Other questions:
  • 2( 4c - 7 ) < 8 ( c - 1) - 6 if possible
    12·1 answer
  • Please help with this questions!
    9·1 answer
  • Can the legs ever be longer than the hypotenuse
    12·1 answer
  • I'm giving 50 POINTS and I mark BRAILIEST the question is provided. in the picture Please include ALL WORK and simplify. TYYY ❤️
    8·1 answer
  • Can someone please help me with this?
    12·1 answer
  • The Fractions of 4/6 and 5/10
    8·1 answer
  • Riley made 5 trays of cupcakes for the bake sale. Each tray had 6 vanilla cupcakes and 8 chocolate cupcakes. How many total cupc
    13·1 answer
  • \Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5, 1),A(5,1
    14·2 answers
  • Jesse went for a run and forgot his watch. He thought he ran 13 miles but he only ran 8 miles. What is Jesse's percent of error.
    6·1 answer
  • How much will he be paid in the first 2 years?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!