A relation is a function if _____.

Mathematics

1 answer:

valentina_108 [34]3 years ago

8 0

... <span>exactly one output for each input

This is an important concept; be certain that you understand it.

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tino4ka555 [31]

Answer:

Step-by-step explanation:

4^3+7=4^10

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3 years ago

Sin(60-theta)sin(60+theta)

ehidna [41]

Step-by-step explanation:

$\sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\$

from difference of two squares:

${ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}$

therefore:

$= \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta$

factorise out ¾ :

$= \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}$

3 0

3 years ago

Read 2 more answers

Two sides of a right triangle measure 2 units and 4 units.

wel

Answer:

Step-by-step explanation:

using pythagorean theorem to find the hypotenuse gives √20, so the measure of the side of the square is also √20, square that to give the area of square, which is 20

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3 years ago

(your answer should be written as the sum and/or difference of the fractions, including the values of a, b, and

Sergio [31]

F(n)=f(n+1)=f(n+1)-5 because in the formula you are subtractinng

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3 years ago

Did I get this first question right?

vivado [14]

Answer:

Step-by-step explanation:

the correct answer is 56.55 inches