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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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Katy invests a total of $26,500 in two accounts paying 4% and 9% annual interest, respectively. How much was invested in each ac
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how much was invested at 9%?  well, b = 26500 - a.
7 0
3 years ago
A^2-a+12=0 I need the roots
kumpel [21]

Answer:

a = 1/2 (1 ±sqrt(47))

Step-by-step explanation:

a^2-a+12=0

We will complete the square

Subtract 12 from each side

a^2-a+12-12=0-12

a^2-a=-12

The coefficient of a = -1

-Divide by 2 and then square it

(-1/2) ^2 = 1/4

Add it to each side

a^2 -a +1/4=-12 +1/4

(a-1/2)^2 = -11 3/4

(a-1/2)^2= -47/4

Take the square root of each side

sqrt((a-1/2)^2) =sqrt(-47/4)

a-1/2 = ±i sqrt(1/4) sqrt(47)

a-1/2= ±i/2 sqrt(47)

Add 1/2 to each side

a-1/2+1/2 = 1/2± i/2 sqrt(47)

a =  1/2± i/2 sqrt(47)

a = 1/2 (1 ±sqrt(47))

8 0
2 years ago
Triangle ABC has vertices at A(-3,4)B(4,-2)C(8,3).The triangle is translated 4 units down and 3 units left . Which rule represen
FinnZ [79.3K]

Answer:

see explanation

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A translation of 4 units down means subtract 4 from the y- coordinate of the original point and a translation of 3 units left means subtract 3 from the original x- coordinate, thus translation rule is

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<u>the answer is</u>

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3 years ago
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