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2 years ago

Aramis showed the division of 6p2 + 9p + 3 by 3p.

Mathematics

2 answers:

Licemer1 [7]2 years ago

7 0

Answer:

D) A = 2p and B = 1/p

Step-by-step explanation:

To divide this, we first see how many times 3p will go into 6p². It will go in 2p times; this goes up top of the problem.

Multiplying back through, we have

2p(3p) = 6p². Subtracting this from the first term under the box, we have

6p²-6p² = 0. This cancels. Bring down the next term, 9p.

See how many times 3p goes into 9p it goes in 3 times. This goes up top, beside the 2p. We separate them with a +, since the 3 is positive.

Multiplying back through, we have 3(3p) = 9p. Subtract this from the line above; 9p-9p = 0. Bring down the last term, 3. Since this is not 0, this is the remainder. This gives us

2p + 3 R 3; writing this as a rational expression, we have

2p + 3 + 3/3p

The remainder term, 3/3p, will simplify to 1/1p or 1/p; this gives us

2p + 3 + 1/p

horsena [70]2 years ago

5 0

The answer is D) A=2p and B=1/p

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Given the parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π. convert to a rectangular equation and sketch the curve

Temka [501]

The rectangular equation for given parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π is $\frac{x^{2} }{4} +\frac{y^2}{9} =1$ which is an ellipse.

For given question,

We have been given a pair of parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π.

We need to convert given parametric equations to a rectangular equation and sketch the curve.

Given parametric equations can be written as,

x/2 = sin(t) and y/(-3) = cos(t) on 0 ≤ t ≤ π.

We know that the trigonometric identity,

sin²t + cos²t = 1

⇒ (x/2)² + (- y/3)² = 1

⇒ $\frac{x^{2} }{4} +\frac{y^2}{9} =1$

This represents an ellipse with center (0, 0), major axis 18 units and minor axis 8 units.

The rectangular equation is $\frac{x^{2} }{4} +\frac{y^2}{9} =1$

The graph of the rectangular equation $\frac{x^{2} }{4} +\frac{y^2}{9} =1$ is as shown below.

Therefore, the rectangular equation for given parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π is $\frac{x^{2} }{4} +\frac{y^2}{9} =1$ which is an ellipse.

Learn more about the parametric equations here:

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7 0

1 year ago

Help me please I don’t get it

Mekhanik [1.2K]

Answer:

150 meters

Step-by-step explanation:

5x3=15

5x4=20

20x15=300

300/2=150

3 0

2 years ago

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Round 6.487 and 2.049 to the hundredths place. What is the sum of the rounded numbers?

sergey [27]

Hello there! 6.487 rounded to the nearest hundredths place is 6.49 and 2.049 rounded to the hundredths place is 2.05. The sum of these numbers is 8.54.

Remember: If the number value after the value you are rounding is equal to or greater than 5, round up. If it is less than 5, round down.

With this in mind, let's round the numbers:

First: 6.487 rounded to the hundredths place would be 6.49, since 7 is greater than 5.

Second: 2.049 rounded to the hundredths place would be 2.05, since 9 is greater than 5.

Next, we will add the numbers together

2.05 + 6.49 = 8.54.

So, this is our final answer. I hope this answers your question & have a great day! :)

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3 years ago

Raymond works in an electronics store and gets a 12 percent employee discount. The original cost of a video game system is $175.

slava [35]

Answer:

A. $154.00

Step-by-Step Explanation:

Okay so, the first step is to get 12% and move the decimal to the left twice like this:

.12

Then, multiply 175 by .12 like this:

175 * .12 = 21

Lastly, subtract 21 from 175 like this:

175 - 21 = $154

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2 years ago

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boyakko [2]

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Step-by-step explanation:

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2 years ago

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