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3 years ago

What is the rectangular form of the polar equation? θ=−7π/6

Mathematics

1 answer:

kobusy [5.1K]3 years ago

6 0

Answer:

The rectangular form of the equation is:

y = 0.5774x

Step-by-step explanation:

Given Polar Equation

$\theta=\frac{7\pi}{6}$

Convert it into rectangular form.

If (r,θ) are the polar coordinates, then the corresponding rectangular coordinates are (x,y), such that:

$x=rcos\theta, y=rsin\theta$

where tanθ can be taken as:

$tan\theta=\frac{y}{x}$

Here

$\theta=\frac{7\pi}{6}$

$tan\frac{7\pi}{6}=\frac{y}{x}$

$\frac{\sqrt{3} }{3}=\frac{y}{x}\\\\y=0.5774x$

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NEED HELP WITH THESE QUESTIONS

amm1812

For this case we must solve the following questions:

Question 1:

We should simplify the following expression:

$\frac {\frac {m ^ 2 * n ^ 3} {p ^ 3}} {\frac {mp} {n ^ 2}} =$

Applying double C we have:

$\frac {m ^ 2 * n ^ 3 * n ^ 2} {mp * p ^ 3} =$

By definition of multiplication of powers of the same base we have to place the same base and add the exponents: $\frac {m ^ 2 * n ^ 5} {m * p ^ 4} =$

Canceling common terms:

$\frac {mn ^ 5} {p ^ 4}$

Answer:

Option A

Question 2:

We should simplify the following expression:

$\frac {3xyz ^ 2} {6y ^ 4} * \frac {2y} {xz ^ 4}$

So, we have:

$\frac {3xyz ^ 2 * 2y} {6y ^ 4 * xz ^ 4} =\\\frac {6xy ^ 2z ^ 2} {6y ^ 4xz ^ 4} =$

Simplifying common terms:

$\frac {1} {y ^ 2z ^ 2}$

Answer:

Option D

Question 3:

We factor the following expressions to rewrite the experience:

$r ^ 2 + 7r + 10$ : We look for two numbers that multiplied give 10 and added 7:

$(r + 5) (r + 2)$

$r ^ 2-5r-50:$ We look for two numbers that multiplied give -50 and added -5:

$(r-10) (r + 5)$

$3r-30 = 3 (r-10)$

Rewriting the given expression we have:

$\frac {(r + 5) (r + 2) * 3 (r-10)} {3 (r-10) (r + 5)} =$

We simplify common terms in the numerator and denominator we have:

$(r + 2)$

Answer:

Option D

4 0

3 years ago

Read 2 more answers

Simplify. (-5.12) - (-4.7) + (7.021) 6.79 6.601 -2.799

liq [111]

The answer is 6.601, and therefore, the second option.

8 0

3 years ago

Read 2 more answers

Oh mah lord please please help me

Alenkinab [10]

Option 2: $4^{\frac{1}{6}}$ is the correct answer.

Step-by-step explanation:

The radical expressions like these are simplified by using fractional exponents

given

$\frac{\sqrt{4}}{\sqrt[3]{4} }$

Converting radicals into exponents

When there is no base the exponent is 1/2 and as the base is 3, the exponent will be 1/3

$=\frac{4^{\frac{1}{2}}}{4^{\frac{1}{3}}}$

As the bases of numerator and denominator is same, the exponents can be subtracted

$=4^{\frac{1}{2}-\frac{1}{3}}\\=4^{\frac{3-2}{6}}\\=4^{\frac{1}{6}}$

Hence,

Option 2: $4^{\frac{1}{6}}$ is the correct answer.

Keywords: Exponents, radicals

Learn more about radicals at:

#LearnwithBrainly

7 0

3 years ago

What must be true for line EF to not intersect plane L?

aev [14]

Answer:

If line EF is parallel to line CD, it will not intersect plane L.

5 0

1 year ago

$18.39 is what percent of $329.64?

pickupchik [31]

18.39 is 5.58% of 329.64.

We have to find that 18.39 is what percent of 120?

First, make the assumption that 329.64 is 100% as it is our output value.

We next represent the value we seek with x, therefore

100% = 329.64

And, x% = 18.39

Now, we get pair of simple equations

100% = 329.64 ........(1)

x% = 18.39 ........(2)

Now by simply dividing equation 1 by equation 2 and note of the fact that the LHS of both equations have the same unit (%);

100% / x% = 329.64 / 18.39

Taking the reciprocal of both sides, we get

x% / 100% = 18.39 / 329.64

or x = 5.58%

Hence, 18.39 is 5.58% of 329.64.

To learn more about percentages, visit: brainly.com/question/14319057

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2 years ago