All categories

4 years ago

PRECALC HELP NEEDED! Convert the Cartesian equation x^3 = 4 y^2 to a polar equation.

1 answer:

4 0

<span>x in (-oo:+oo)

x = (3/4)*y-2 // - (3/4)*y-2

x-((3/4)*y)+2 = 0

x+(-3/4)*y+2 = 0

x-3/4*y+2 = 0 // - 2-3/4*y

x = -(2-3/4*y)

x = -(2-3/4*y)

Hope this helps!</span>

You might be interested in

NEED HELP ASAP 70 POINTS

Nataliya [291]

Answer:

1) Option A) is correct

The given rational exponent expression is not simplified correctly as a radical expression is

$x^{\frac{7}{4}}=\sqrt[7]{x^4}$

2)Option A) is correct

That is $(729x^3y^{-18})^{\frac{1}{6}}=\frac{3\sqrt{x}}{y^3}$

Step-by-step explanation:

1) Given that $x^{\frac{7}{4}}=(\sqrt{x^7})^\frac{1}{4}$

$x^{\frac{7}{4}}=\sqrt[4]{x^7}$ is the correct answer but in the given problem they gave the RHS as wrong.

Therefore the given rational exponent expression is not simplified correctly as a radical expression is

$x^{\frac{7}{4}}=\sqrt[7]{x^4}$

2)Given that the rational exponent expression is $(729x^3y^{-18})^{\frac{1}{6}}$

To find it as a radical expression:

$(729x^3y^{-18})^{\frac{1}{6}}=(729)^{\frac{1}{6}}(x^3)^{\frac{1}{6}}((y^{-18})^{\frac{1}{6}})$

$=3(x^{\frac{3}{6}})(y^{\frac{-18}{6}})$

$=3(x^{\frac{1}{2}})(y^{-3})$

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

Therefore $(729x^3y^{-18})^{\frac{1}{6}}=\frac{3\sqrt{x}}{y^3}$

Therefore Option A) is correct

That is $(729x^3y^{-18})^{\frac{1}{6}}=\frac{3\sqrt{x}}{y^3}$

3 0

3 years ago

The cost in dollars of an order of deli meat is a function of its weight W in pounds. The function C(W) outputs the cost C of an

Arturiano [62]

It would be C. The cost 1.5 pounds of meat is $9.00

7 0

4 years ago

We are searching for a number that, when these operations are performed, will have an answer of 7. Here are the operations: add

DochEvi [55]

The answer is 7 I think

5 0

4 years ago

constructing a border around a pool a circular pool measures 10 feet across. one cubic yard of concrete is to be used to create

Paha777 [63]

Answer:

We get w = 1.508 feet.

Step-by-step explanation:

Let w be the width of the border.

The diameter of the pool will be 10 feet.

The depth will be 3 inches. So, we will convert it to feet.

3 inches = $\frac{3}{12}=0.25 feet$

The circular area including pool and the border, radius = $(w+5)$

Border area = Total area - pool area

= $\pi (w+5)^{2} -\pi (5)^{2}$

Putting pi = 3.14 and solving the expression we get the following equation:

$3.14w^{2}+31.4w-53.5$

As given one cubic yard of concrete is to be used, this is the volume to be used.

1 cubic yard = 27 cubic feet

Now using the volume given and thickness of this area that is 0.25 feet.

$0.25(3.14w^{2}+31.4w-53.5) =27$

$=> 0.785w^{2}+7.85w-13.375-27= 0$

$=> 0.785w^{2}+ 7.85w-13.625= 0$

Solving this quadratic equation, we get w = 1.508 feet and w = -11.508 feet.

Neglecting the negative value, we get w = 1.508 feet.

3 0

3 years ago

One more than four times a number

nirvana33 [79]

"One more than" means something plus 1
+ 1

"Four times a number" means an unknown value multiplied by 4
4x

Final answer:
4x + 1

Hope this helps!
:)

3 0

3 years ago

Read 2 more answers