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murzikaleks [220]
3 years ago
14

Short Answer

Mathematics
1 answer:
prisoha [69]3 years ago
3 0

9514 1404 393

Answer:

  6, 9, 12, 15

Step-by-step explanation:

Comparing the given formula to the formula for the general term of an arithmetic sequence, ...

  an = a1 +d(n -1)

we see that a1 = 6 and d = 3. That is, the first term of the sequence is 6 and each term is 3 more than the last.

The first 4 terms are 6, 9, 12, 15.

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Answer:

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Step-by-step explanation:

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Pre calculus, trigonometry Given point M the ordered pair 6 times the square root of 3 comma negative 6 comma which is located o
Nikitich [7]

The possible form of the point (6√3, - 6) in polar form are (r₁, θ₁) = (12, 11π / 6), (r₂, θ₂) = (12, - π / 6).

<h3>How to derive the polar form of a point in rectangular form</h3>

In this problem we find a point in rectangular form, that is, a point of the form (x, y). We are asked to find the polar form of the point, that is, a point described by the following expression:

(r, θ)

Where:

  • r - Magnitude
  • θ - Direction, in radians

The magnitude is found by Pythagorean theorem:

r =√(x² + y²)

And the direction of the point is described by the following inverse trigonometric function:

θ = tan⁻¹ (y / x)

If we know that (x, y) = (6√3, - 6), then the point in polar form is:

r = √[(6√3)² + (- 6)²]

r = 12

θ = tan⁻¹ (- 6 / 6√3)

θ = tan⁻¹ (- √3 / 3)

θ = 11π / 6 rad / θ =  - π / 6 rad

There are two possible solutions: (r₁, θ₁) = (12, 11π / 6), (r₂, θ₂) = (12, - π / 6).

To learn more on point in polar form: brainly.com/question/13103661

#SPJ1

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1 year ago
What is the slope of the line that contains these points?
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M=-1-1/10-2=-2/8= -1/4
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2 years ago
Dory and nemo go to Taco Bell for lunch.dory orders three soft tacos and three double deckers for $11.25 nemo pays $10.00 for fo
Maslowich
If we let x be the price for soft tacos and y be that of double deckers, then from the question, we'll have 3x + 3y = 11.25 x + y = 11.25/3 x + y = 3.75 (1) in addtion, we also have 4x + 2y = 10.00 2x + y = 5.00 y = 5.00 - 2x (2) <span>Substituting y from equation (2) into equation (1), x + (5.00 - 2x) = 3.75 -x = 3.75 - 5.00 x = 1.25 y = 5.00 - 2(1.25) = 2.50 </span>
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3 years ago
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