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lys-0071 [83]
3 years ago
12

Which graph shape represents the polar curve r = 1 + 4sin(θ)?

Mathematics
2 answers:
umka2103 [35]3 years ago
7 0

Answer:

A cardioid

Step-by-step explanation:

A cardioid is a curve in the shape of a heart traced by a point on the circumference of a circle as it rolls around a fixed circle of the same radius.

The equation of vertical cardioid is r=a ± a\sin \theta

Given the polar curve is r= 1+ 4 \sin \theta

This is an equation of vertical cardioid.

So, it represents a cardioid.

Tomtit [17]3 years ago
6 0

Answer:

C - a limaçon with an inner loop

Step-by-step explanation:

If you have a graphing calculator, use it to plug in the equation.

Based on what you have learned, you will recognize the graph is C

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a bag of chips cost .80 cents, a bottle of water cost $1.60 and a gallon of milk cost $3.40

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What is 2x plus 5y equals 10
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Answer:

2(5)+5(0)=10

Step-by-step explanation:

There are several ways for this equation to work but a very simple way is shown below.

2*510+5*0=10

10+0=10

10=10

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4

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5 bullets in a 6 bullet barrell, what are your chances of dying on the first trigger pull?​
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Which equation is equivalent to 16 Superscript 2 p Baseline = 32 Superscript p 3?.
Mrac [35]

The equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

2^{8p}=2^{5p+15}

<h3>What is equivalent equation?</h3>

Equivalent equation are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The given equation in the problem is,

16^{2p}=32^{p+3}

Write both the equation in the form of same base number as,

(2^4)^{2p}=(2^5)^{p+3}

The power of the power of a number can be written as product of both the numbers. Thus,

(2)^{4\times2p}=(2)^{5\times(p+3)}\\2^{8P}=2^{5P+15}

This is the required equation.

Now if the base is the same at both side of the expression, then the powers can be compared. Thus,

8p=5p+15

Solve it further to find the value of p as,

8p-5p=15\\3p=15\\p=5

Thus the equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

2^{8p}=2^{5p+15}

Learn more about the equivalent expression here;

brainly.com/question/2972832

7 0
2 years ago
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