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3 years ago

What is the median 9 7 6 10 3 4 6

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

4 0

The correct answer is 7

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Example of inverse operation

luda_lava [24]

Examples of inverse operations are addition and subtraction or multiplication and division.

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4 years ago

If tanA+sinA=m and tanA-sinA=n.prove that m^2-n^2=4√mn

mash [69]

Let $a=\tan A$ and $b=\sin A$ . Then

$m^2-n^2=(a+b)^2-(a-b)^2=(a^2+2ab+b^2)-(a^2-2ab+b^2)=4ab$

$\implies m^2-n^2=4\tan A\sin A$

and

$mn=(a+b)(a-b)=a^2-b^2$

$\implies4\sqrt{mn}=4\sqrt{\tan^2A-\sin^2A}$

The expression under the square root can be rewritten as

$\tan^2A-\sin^2A=\dfrac{\sin^2A}{\cos^2A}-\sin^2A=\sin^2A\left(\dfrac1{\cos^2A}-1\right)=\sin^2A(\sec^2A-1)$

Recall that

$\sin^2A+\cos^2A=1\implies\tan^2A+1=\sec^2A$

so that

$\tan^2A-\sin^2A=\sin^2A\tan^2A$

and assuming $\sin A>0$ and $\tan A>0$ , we end up with

$4\sqrt{\tan^2A-\sin^2A}=4\tan A\sin A$

so that

$m^2-n^2=4\sqrt{mn}$

as required.

5 0

3 years ago

Factor the expression. 4d + 12 Enter your answers in the boxes.

Dmitry_Shevchenko [17]

4d + 12 = 4(d + 3)
Basically, you just need to determine what 4d and 12 have in common. In this case, they both divide evenly by 4. Therefore 4 (d + 3) = 4d + 12 according to the distributive property.

5 0

3 years ago

Read 2 more answers

Which function is defined for x=0

Sav [38]

0 would be on the top, hope this helps

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3 years ago

What is a solution to x ≥ 20

Triss [41]

Answer:

Step-by-step explanation:

Any number equal to or greater than 20 is a solution. 22 would be a solution.

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3 years ago