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3 years ago

11

Which relation is a function?

1 answer:

solmaris [256]3 years ago

7 0

The answer is A function is a set of ordered pairs in which each x-element has only one y-element.

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How do you simplify 8x over 45

Hitman42 [59]

x over 5 becuase the top and bottom are both divisible by 8 so you do that.

3 0

4 years ago

Read 2 more answers

Find tan2θ if θ terminates in Quadrant IV and cosθ = 3/5.

natali 33 [55]

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$\cos( \alpha ) = \frac{3}{5} \\$

${sin}^{2}( \alpha ) = 1 - {cos}^{2} ( \alpha )$

${sin}^{2}( \alpha ) = 1 - ({ \frac{3}{5} })^{2} \\$

${sin}^{2}( \alpha ) = 1 - \frac{9}{25} \\$

${sin}^{2}( \alpha ) = \frac{25}{25} - \frac{9}{25} \\$

${sin}^{2}( \alpha ) = \frac{16}{25} \\$

$sin( \alpha )= ± \sqrt{ \frac{16}{25} } \\$

In Quadrant IV , sin is negative .

Thus ;

$sin( \alpha ) = - \sqrt{ \frac{16}{25} } \\$

$\sin( \alpha ) = - \frac{4}{5} \\$

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$\tan(2 \alpha ) = \frac{ \sin(2 \alpha ) }{ \cos(2 \alpha ) } \\$

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$\sin(2 \alpha ) = 2. \sin( \alpha ). \cos( \alpha )$

$\sin(2 \alpha ) = 2 \times ( - \frac{4}{5} ) \times ( \frac{3}{5} ) \\$

$\sin(2 \alpha ) = - \frac{24}{25} \\$

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$\cos(2 \alpha ) = {cos}^{2}( \alpha ) - {sin}^{2}( \alpha )$

$\cos(2 \alpha ) = ({ \frac{3}{5} })^{2} - ({ - \frac{4}{5} })^{2} \\$

$\cos(2 \alpha ) = \frac{9}{25} - \frac{16}{25} \\$

$\cos(2 \alpha ) = - \frac{7}{25} \\$

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$\tan(2 \alpha ) = \frac{ \sin(2 \alpha ) }{ \cos(2 \alpha ) } \\$

$\tan(2 \alpha ) = \frac{ - \frac{24}{25} }{ - \frac{7}{25} } \\$

$\tan(2 \alpha ) = - \frac{24}{25} \div - \frac{7}{25} \\$

$\tan(2 \alpha ) = - \frac{24}{25} \times - \frac{25}{7} \\$

$\tan(2 \alpha ) = \frac{24}{7} \\$

Thus the correct answer is (( C )) .

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4 0

3 years ago

Read 2 more answers

A tree grow 1/4 foot in 1/12 year.

lilavasa [31]

Answer:

Part A) The rate is $\frac{12}{4}\ \frac{feet}{years}$

Part B) In 1 year the tree grows 3 feet

Step-by-step explanation:

Part A) write the rate at which this tree grows as a fractions

we know that

To find out the rate at which the tree grows divide 1/4 foot by 1/12 year

so

$\frac{(1/4)}{(1/12)}=\frac{12}{4}\ \frac{feet}{years}$

Part B) how many feet does the tree grow in 1 year?

we know that

The tree grows at rate of $\frac{12}{4}\ \frac{feet}{years}$

Simplify

$\frac{3}{1}\ \frac{feet}{year}$

That means ----> The tree grows 3 ft in 1 year

therefore

In 1 year the tree grows 3 feet

5 0

3 years ago

5) What is the area of the shape in Fig. 12

Monica [59]

Do halftime read mean kinda dry pic sad ok Lynn I I free gum

3 0

3 years ago

Need help now plez i need it plez ;(

tatuchka [14]

Answer:

there isnt anything?

Step-by-step explanation:

3 0

3 years ago