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abruzzese [7]
3 years ago
13

Write the following polar equation in Cartesian coordinates:

Mathematics
1 answer:
maks197457 [2]3 years ago
5 0
Remember that transformation between Cartesian and polar system are:
x=r*cos(α)
y=r*sin(α)
From this we can conclude that:
r=√(x^2 + y^2)

Using trigonometry transformations we can write:
r=sin(2α) = 2sin(α)cos(α)
Now we can multiply both sides with r^2:
r^3 = 2(r*sin(α))*(r*cos(α))

Now using some replacements we can write:
(x^2 + y^2)^(3/2) = 2*x*y
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Find the equation of a line parallel to the given line in passing through the given point
svetoff [14.1K]

Answer:

Step-by-step explanation:

y = mx + b

The line y = 3 is a horizontal line with slope zero

y = 0x + 3

All parallel lines will also have a slope zero

a parallel line passing through (-2, 7) will have the equation

y = 0x + 7

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7 0
2 years ago
Which graph or equation represents a nonproportional relationship?
Brut [27]

The graph that does not represents a proportional relationship is: A (see image attached below).

<h3>What is a Proportional Relationship?</h3>

A proportional relationship has a constant, which is uniform and is defined in the equation y = kx, as k. This means a relationship that is proportionate will have an equation in that form.

For a proportional graph, the line must pass through the point of origin which is denoted by the ordered pair, (0, 0).

Therefore, from the options given, the option B represents a proportional relationship because it contains (0, 0), while option C and D takes the form of y = kx.

Therefore, option A does not represent a proportional relationship.

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5 0
2 years ago
Read 2 more answers
S is inversely proportional to t . When s = 0.6 , t = 5 Work out s when t = 0.3
madreJ [45]

Answer:

s = 10

Step-by-step explanation:

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0.6 = \frac{k}{5} ( multiply both sides by 5 )

3 = k

s = \frac{3}{t} ← equation of proportion

When t = 0.3, then

s = \frac{3}{0.3} = 10

6 0
3 years ago
Rewrite 5/12+1/3 using the lowest common denominator then add
olga55 [171]
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15. The fourth graders
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Answer:

16 groups

Step-by-step explanation:

Add all the people up then divided it by 8 so now it will be 8 people in each group and there will be a total of 16 groups

30+32+29+28+9=128/8=16

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