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3 years ago

The polar form of (-1,√3) is(_,_)

Mathematics

1 answer:

Klio2033 [76]3 years ago

4 0

Answer:

(2, 2/3 * pi)

Step-by-step explanation:

( -1, sqrt(3))

to find the radius

sqrt(x^2 + y^2) = r

sqrt( (-1)^2 + (sqrt3)^2) = r

sqrt(1+3) =r

sqrt(4) =r

2=r

to find theta

theta = arctan (sqrt(3)/-1)

theta = -60 degrees

you need theta between 90 and 180

add 180 to theta

theta = 120

you need theta in radians

120 * pi/180 = 2/3 * pi

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3 years ago

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Vanyuwa [196]

Answer:

1) C = 3

2) B = 5

3) C = 8

Step-by-step explanation:

Question 1)

We have:

$(2x+3)(4x-1)$

Distribute:

$=(2x+3)(4x)+(2x+3)(-1)$

Distribute:

$=8x^2+12x-2x-3$

Combine like terms:

$=8x^2+10x-(3)$

Therefore, C = 3.

Question 2)

We have:

$(x+2) (2x^2+x-1)$

Distribute:

$\displaystyle =(x+2)(2x^2)+(x+2)(x)+(x+2)( - 1)$

Distribute:

$=(2x^3+4x^2)+(x^2+2x)+(-x -2)$

Combine like terms:

$=2x^3+(5)x^2+x-2$

Therefore, B = 5.

Question 3)

We have:

$(x+2)(x^2-3x-2)$

Distribute:

$=(x+2)(x^2)+(x+2)(-3x)+(x+2)(-2)$

Distribute:

$=(x^3+2x^2)+(-3x^2-6x)+(-2x-4)$

Combine like terms:

$=x^3-x^2-(8)x-4$

So, C = 8.

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2 years ago

What percentage of children chose apricot

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Answer:

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Step-by-step explanation:

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3 years ago

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-Dominant- [34]

It’s 500.
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3 years ago

Isaac drove at an average speed of 49 mph over 6 hours during the first three hours he drove at a speed that was 172 mph less th

IgorC [24]

Isaac drove the car at 44 mph during last three hours.

Step-by-step explanation:

Average speed = 49 miles per hour

Let,

s be the speed during last three hours

4s-172 be the speed during first three hours

Average = $\frac{Sum\ of\ items}{No.\ of\ items}$

$49=\frac{4s-172+s}{2}\\\\49*2=5s-172\\\\98=5s-172\\\\98+172=5s\\\\270=5s\\\\5s=270$

Dividing both sides by 5

$\frac{5s}{5}=\frac{270}{5}\\\\s=54$

Speed during last three hours = 54 mph

Speed during first three hours = 4(54)-172 = 44 mph

Isaac drove the car at 44 mph during last three hours.

Keywords: division, addition

Learn more about addition at:

#LearnwithBrainly

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3 years ago

The polar form of (-1,√3) is(___,___)

The polar form of (-1,√3) is(_,_)