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3 years ago

Can someone create two expressions that are equivalent to 3(4j + 4 + j). Please show all steps in your work.

Mathematics

2 answers:

NNADVOKAT [17]3 years ago

7 0

Answer:

12j + 12 + 3j or 15j + 12.

Step-by-step explanation:

NNADVOKAT [17]3 years ago

4 0

12j + 12 + 3j or 15j + 12. This is because if you use Distributive Property to distribute the 3, then you multiply 3 by all the number inside the parentheses. I have two expressions because once you get get the answer after you use the property, then you can combine like terms, such as 12j and 3j which is 15j. Hope this helps!

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Answer:

y = 8x + 25

Step-by-step explanation:

Using the coordinates (10, 105) and (20, 185)

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In a given right triangle, If 0 º < x < 90 º and cos x = √ 3 / 2, then sin x = ?

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Answer:

1/2

Step-by-step explanation:

The "Pythagorean relation" between trig functions can be used to find the sine.

<h3>Pythagorean relation</h3>

The relation between sine and cosine is the identity ...

sin(x)² +cos(x)² = 1

This can be solved for sin(x) in terms of cos(x):

sin(x) = √(1 -cos(x)²)

<h3>Application</h3>

For the present case, using the given cosine value, we find ...

sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)

sin(x) = 1/2

<em>Additional comment</em>

The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...

sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)

A calculator can always be used to verify the result.