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3 years ago

Insert 5 arithmetic means between -1 and 11

Mathematics

1 answer:

Anni [7]3 years ago

7 0

Answer:

Step-by-step explanation:

-1 1 3 5 7 9 11

That's the answer. If you need a method or a formula, that's a little harder.

L = a + (n - 1)*d

a = -1

L = 11

n = 7

or n is the hard part. If you have 5 means, then you have 6 spaces. So n must be 7 in all

11 = -1 + (7 - 1)*d add 1 to both sides. Combine the brackets

11+1 = -1+1+ 6*d

12 = 6d divide by 6

12/6 = d

2 = d

What this tells you is that each term has 2 added to it to get to the next one.

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Answer:

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Step-by-step explanation:

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3 years ago

Find all solutions of the equation in the interval [0, 2pi).

mina [271]

Answer:

x = 0 , π

Step-by-step explanation:

$-4 \sin x = 1 - cos^2 x$

Rewrite it by using the identity $\sin^2x + \cos^2x = 1$

$=> -4\sin x = \sin^2x$

Add 4sin x to both the sides.

$=> -4\sin x + 4\sin x = sin^2x + 4\sin x$

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Take sin x common from the expression in L.H.S.

$=> \sin x(\sin x + 4)=0$

Here , we can get two more equations to find x.

1) $\sin x(\sin x + 4)=0$

Divide both the sides by sin x

$=> \frac{\sin x(\sin x + 4)}{\sin x} = \frac{0}{\sin x}$

$=> \sin x + 4 = 0$

Substract 4 from both the sides.

$=> \sin x + 4 - 4 = 0 - 4$

$=> \sin x = -4$

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2) $\sin x(\sin x + 4)=0$

Divide both the sides by (sin x + 4)

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Answer:

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KatRina [158]

Answer:

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7/3 | 2

3 | 4

11/3 | 6

13/3 | 8

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x | y

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2 ⅓ | 2

3 | 4

3 ⅔ | 6

4 ⅓ | 8

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x | y

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2.33.. | 2

3 | 4

3.66.. | 6

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You should start with x values since the y values will be easier to plot. x's will not be easy to represent.

For example:

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0 | -5

1 | -2

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3 | 4

4 | 7

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