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aliina [53]
3 years ago
5

Transform the polar equation to a Cartesian (rectangular) equation: r= 4sinθ

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answer:

  x^2 +y^2 = 4y

Step-by-step explanation:

Using the usual translation relations, we have ...

  r^2 = x^2+y^2

  x = r·cos(θ)

  y = r·sin(θ)

Substituting for sin(θ) the equation becomes ...

  r = 4sin(θ)

  r = 4(y/r)

  r^2 = 4y

Then, substituting for r^2 we get ...

  x^2 +y^2 = 4y . . . . . matches the first choice

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Simplify this fraction.<br> 6/5
mixer [17]

Answer:

6/5 is the lowest term.

Step-by-step explanation:

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3 years ago
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Which rule deacribes the
Marysya12 [62]

Answer:

A. {T_{-6,-2}}\circ {r_{x-axis}}(x,y)

Step-by-step explanation:

We have that, ΔABC is transformed to get ΔA''B''C''.

We see that the following transformations are applied:

1. Reflection across x-axis i.e. flipped across x-axis.

Now, ΔABC is reflected across x-axis along the line AC to get ΔA'B'C'.

2. Translated 2 units down i.e. shifted 2 units down and and then translated 6 units to the left i.e. shifted 6 units to the left.

So, ΔA'B'C' is translated 2 units downwards and 6 units to the left to get ΔA''B''C''.

Hence, the sequence of transformations is Reflection across x-axis and then Translation of 2 units down and 6 units left.

6 0
3 years ago
Factor the expression using the GCF.<br> 60 – 36 =
Ivanshal [37]

Answer

12 (5 - 3)

Step-by-step explanation:

The greatest common factor is the largest number that will divide both numbers evenly. As an example, 6 is a common factor because it divides both 60 and 36. However, it is not the greatest common factor.

 

If I break 60 into it's prime factors, I would get 2 * 2 * 3 * 5.

 

If I break 36 into it's prime factors, I would get 2 * 2 * 3 * 3.

 

The two number have the factors, 2, 2, and 3 in common.

 

The greatest common factor is then: 2 * 2 * 3, or 12.

 

The expression can be factored as:  12 ( 5 - 3)

6 0
3 years ago
Sara lost 12 pounds over the summer by jogging each week. By winter time she had gained 4 3/8 pounds. Represent this situation w
Vika [28.1K]

The situation with an expression involving signed numbers is w - 12 + 4 3/8 and the overall change in Sara’s weight is -7 5/8 pounds

<h3>Represent this situation with an expression involving signed numbers. </h3>

Let Sara's initial weight be w.

The given parameters are:

Lost = 12 pounds

Gain = 4 3/8 pounds

The situation with an expression involving signed numbers is represented as:

Weight = Initial - Lost + Gain

So, we have:

Weight = w - 12 + 4 3/8

<h3>What is the overall change in Sara’s weight?.</h3>

In (a), we have:

Weight = w - 12 + 4 3/8

The overall change is:

Change = - 12 + 4 3/8

Evaluate

Change = -7 5/8

Hence, the overall change in Sara’s weight is -7 5/8 pounds

Read more about sum and difference at:

brainly.com/question/17695139

#SPJ1

3 0
2 years ago
Anyone help me with this please I can’t seem to get my head around it xx
vova2212 [387]

Answer:

The first answer is 36 and the second is 80 because each pattern increases by one tile longer and wider so pattern 4 would be 4 by 4 so there would be 16 square tiles and 16 circular tiles and pattern 5 would have 25 square tiles and 20 circular tiles.

4 0
3 years ago
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