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3 years ago

The values in the table represent a linear function. What is the common difference of the associated arithmetic sequence

Mathematics

1 answer:

Helga [31]3 years ago

7 0

Answer: 17

21-4=17

4+17=21
21+17=38 and so on..

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Given that sin A = 1/3 and angle A is in the first quadrant, find cos A

scoundrel [369]

Sin A = opposite / hypotenuse

If angle A is in the first quadrant, that means both x and y coordinate are positive.

Now you can draw triangle. Since sinA = 1/3, opposite side may be 1, so then hypotenuse side must be 3.

Now you can use Pythagorean Theorem to solve for the length of adjacent side:

a² + b² = c²
1 + b² = 9
b² = 8
b = 2√2

So adjacent side is 2√2.

So now we can solve for cosA:

cosA = adjacent / hypotenuse = 2√2 / 3

Final answer: 2√2 / 3

3 0

3 years ago

Read 2 more answers

Please answer! 40 points! (It will give you half of that)

SVETLANKA909090 [29]

Answer:

1-1

2-2

3-4

4-3

5-6

6-5

Step-by-step explanation:

Just simplify each equation to its simplest form

eg,: #1

4/3 = 1 1/3

4 0

4 years ago

Read 2 more answers

What is the correct factored for of x^2-9/x-3 to show a common factor can be divided out?

natali 33 [55]

Answer:

should be x^2-9/x-3

3 0

3 years ago

What is the binomial expansion of (x 2y)7? 2x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5 14xy6 2y7 x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5

AysviL [449]

You can take x = a, 2y = b and then can apply the binomial theorem.

The expansion of given expression is given by:

Option D: $x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$ is

<h3>What is binomial theorem?</h3>

It provides algebraic expansion of exponentiated(integer) binomial.

According to binomial theorem,

$(a+b)^n = \sum_{i=0}^n ^nC_i a^ib^{n-i}$

<h3>How to use binomial theorem for given expression?</h3>

Taking a = x, and b =2y, we have n = 7, thus:

$(x+2y)^7 = \: ^7C_0x^0(2y)^7 + \: ^7C_1x^1(2y)^6 + \: ^7C_2x^2(2y)^5 + \: ^7C_3x^3(2y)^4 + \:^7C_4x^4(2y)^3 + \:^7C_5x^5(2y)^2 + \:^7C_6x^6y^1 + \: ^7C_0x^7y^0\\\\
(x+2y)^7 = 128y^7 + 448xy^6 + 672x^2y^5 + 560x^3y^4 + 280x^4y^3 + 84x^5y^2 + 14x^6y + x^7\\\\
(x+2y)^7 = x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$

Thus, Option D: $x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$ is correct.

Learn more about binomial theorem here:

brainly.com/question/86555

6 0

3 years ago

How do I find:<br> If 6^x=1/216,find the value of x with and without a Casio calculator?

san4es73 [151]

Answer:

The value of x is -3.

Step-by-step explanation:

To find x, we have to put everything in base 6 and continue to simplify. Since we know that 216 is 6^3, we can replace that.

6^x = 1/216

6^x = 1/(6^3)

Now, when there is a power in the denominator, we know we can move it to the numerator by making it negative. We can do that to get the bases to match.

6^x = 1/(6^3)

6^x = 6^-3

Now that they are both put in simple base 6 systems, we can just eliminate the bases and assume that the powers are equal. This lets us know that x = -3.

8 0

3 years ago