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olchik [2.2K]
3 years ago
14

Find the polar coordinates of the points with cartesian coordinates (−x, y).

Mathematics
1 answer:
Fynjy0 [20]3 years ago
4 0
The relationship to go from Cartesian coordinates to polar coordinates is given by the following equations:

x = r * cos(theta)
y = r * sin(theta)

Since the coordinates we are given are just variables that can take <em>any </em>value, we'll have to work with that. Thankfully, that means we can just plug in these equations to get polar coordinates!

(-x, y) becomes
(-(r * cos(theta)), r * sin(theta))
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svlad2 [7]

Answer:

4a^2

Step-by-step explanation:

4a^2x^2+4a^2x+4a^2= \\\\4a^2(x^2+x+1)

Therefore, the largest common factor is 4a^2. Hope this helps!

3 0
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Given: ABCD parallelogram BK ⊥ AD , AB = 6, AK = 3 Find: m∠A, m∠B, m∠C, m∠D
Troyanec [42]

Answer: Angle A = 60°, angle B = 120°, angle C = 60°, angle D = 120°

Step-by-step explanation: Please refer to the attached diagram for further details.

The question has given the parallelogram ABCD as having side AB measuring 6 units, side AK measuring 3 units and line BK has been drawn perpendicular to line AD. This means line AK forms a right angle at the point where it meets line AD. From the information provided and the figure derived from that, we have right angled triangle ABK with the right angle at point K, line AB equals 6 units and line AK equals 3 units.

Using angle A as the reference angle, line AK is the opposite (side facing the reference angle), line AB is the hypotenuse (line facing the right angle) and line AK is the adjacent (side that lies between the right angle and the reference angle).

Hence, using the trigonometric ratios,

Cos A = adjacent/hypotenuse

Cos A = 3/6

Cos A = 0.5

Checking with the calculator, (that is second function of Cos 0.5)

A = 60

The opposite sides of a parallelogram are equal (that is line AD is parallel to line BC) and therefore opposite angles are equal (that is angle A is equal to angle C).

Similarly, angle B is equal to angle D. However, angles in a quadrilateral equals 360 degrees.

Therefore, angles in parallelogram ABCD is derived as;

A + B + C + D = 360

60 + B + 60 + D = 360

120 + B + D = 360

Subtract 120 from both sides of the equation

B + D = 240

Having known that angle B equals angle D, angles B and D is derived as each half of the value 240

Angle B = 240/2

Angle B = 120

and angle D = 120

Therefore, the angles are;

A = 60, B = 120, C = 60, D = 120

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Four fifths of the senior class went to prom if 324 seniors went to prom how many are there in the senior class?
castortr0y [4]
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Alborosie

Answer:

It is a prime number.

Step-by-step explanation:

A prime number is a number that can only be the product of 1 and itself. 17 can only be multiplied by 1 and 17, so it is prime.

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Answer:

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Step-by-step explanation:

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