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Nikitich [7]
3 years ago
6

Which graph shows the correct representation of {x | x ≤ 5}?

Mathematics
1 answer:
Andrew [12]3 years ago
3 0

Answer:

third choice

Step-by-step explanation:

That would be the third one. It has to be a closed circle because it includes the sign, ≤ meaning that it also has the number 5 included. The numbers that go to the left of 5 are smaller, too.

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sergiy2304 [10]

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yes to 5

Step-by-step explanation:

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fgiga [73]

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Darina [25.2K]

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2(x+9)

Step-by-step explanation:

2x+18

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Verify that (cos²a) (2 + tan² a) = 2 - sin² a....<br>​
Sveta_85 [38]

Trigonometric Formula's:

\boxed{\sf \ \sf \sin^2 \theta + \cos^2 \theta = 1}

\boxed{ \sf tan\theta = \frac{sin\theta}{cos\theta} }

Given to verify the following:

\bf (cos^2a) (2 + tan^2 a) = 2 - sin^2 a

\texttt{\underline{rewrite the equation}:}

\rightarrow \sf (cos^2a) (2 + \dfrac{sin^2 a}{cos^2 a} )

\texttt{\underline{apply distributive method}:}

\rightarrow \sf 2 (cos^2a) + (\dfrac{sin^2 a}{cos^2 a} ) (cos^2a)

\texttt{\underline{simplify the following}:}

\rightarrow \sf 2cos^2 a  + sin^2 a

\texttt{\underline{rewrite the equation}:}

\rightarrow \sf 2(1 - sin^2a )  + sin^2 a

\texttt{\underline{distribute inside the parenthesis}:}

\rightarrow \sf 2 - 2sin^2a   + sin^2 a

\texttt{\underline{simplify the following}} :

\rightarrow \sf 2 - sin^2a

Hence, verified the trigonometric identity.

7 0
2 years ago
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Use long division to find the quotient below.
Tems11 [23]

Answer:

Step-by-step explanation:

2

x

2

+

5

x

+

3

=

(

x

+

1

)

(

2

x

+

3

)

Explanation:

2

x

2

+

5

x

+

3

=

2

x

2

+

2

x

+

3

x

+

3

=

2

x

(

x

+

1

)

+

3

(

x

+

1

)

=

(

x

+

1

)

(

2

x

+

3

)

[Ans]

7 0
3 years ago
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