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balu736 [363]
3 years ago
12

What type of limacon is graphed by the polar equation r=4+2sinttheta?

Mathematics
2 answers:
sergiy2304 [10]3 years ago
8 0
The type of limacon graphed is a convex.
nydimaria [60]3 years ago
6 0

Answer:

The graph is a convex limacon.

Step-by-step explanation:

Polar equation is defined as

r=b+a\sin \theta and r=b+a\cos \theta

Types of limacon:

1. If b < a, then graph is a limacon with and inner loop.

2. If a < b < 2a, then graph is a dimpled limacon.

3. If 2a ≤ b, then graph is a convex limacon.

The given equation is

r=4+2\sin \theta

Here b=4 and a=2.

2a=2(2)=4=b

2a=4

2a=b            [\because b=4]

Since 2a ≤ b, therefore the graph is a convex limacon.

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FG=8x+4. If GH=4x+8 and FH=15x-9, then what does FH=?
Mashcka [7]
So 8x+4+4x+8=15x-9

Combine like terms.

12x+12=15x-9

Add 9 to both sides.

12x+21=15x

Subtract 12 from both sides.

21=3x

Divide both sides by 3.

x=7

Now plug in 7 for x in 8x+4.

8(7)+4

56+4

=60
4 0
3 years ago
Match each number with its place in order from smallest (1st) to largest (6th).
zheka24 [161]
90 would be the largest then 59,48, -56, -80, and leaving -84 to be the smallest
8 0
2 years ago
How many solutions are there to the equation 10= a + b + c with each of a, b, and c a whole number greater than or equal to zero
djverab [1.8K]
If <em>a</em> is fixed and <em>b</em>,<em>c</em> are unknowns then the equation <em>b</em>+<em>c</em>=10-<em>a</em> has 11-<em>a</em> solutions. They are pairs (b,c): (0,10-a), (1,9-a), (2,8-a), ... (10-a,0). As <em>a</em> runs from 0 to 10 we have total number of solutions (11-0)+(11-1)+...(11-1)=11+10+...+1=(1+11)*11/2=66.
4 0
3 years ago
Increase 400litres by 20%
Sati [7]

Answer:

480 Litres

Step-by-step explanation:

Percentage increase = 20% × 400

New value =

400 + Percentage increase =

400 + (20% × 400) =

400 + 20% × 400 =

(1 + 20%) × 400 =

(100% + 20%) × 400 =

120% × 400 =

120 ÷ 100 × 400 =

120 × 400 ÷ 100 =

48,000 ÷ 100 =

480

3 0
2 years ago
Which equation has only 1 solution? A. c+2=c+2 B. c= -c+2 C. c+2=c-2 D. c-c=2 Please explain.
zhannawk [14.2K]

Answer:

B. c= -c+2

Step-by-step explanation:

A. ...................

  • c+2=c+2
  • c-c= 2-2
  • 0=0

It has infinitely many solutions as the equation is correct for any value of c.

B. ...................

  • c= -c+2
  • c+c= 2
  • 2c = 2
  • c = 2/2
  • c= 1

It has one solution only

C. ...................

  • c+2=c-2
  • c-c= -2 - 2
  • 0 = -4

It has no solution as this equation is incorrect

D. ...................

  • c-c=2
  • 0 = 2

It has no solution as this equation is incorrect

6 0
3 years ago
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