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1 year ago

8

When an integer is subtracted from 5 times the next consecutive integer, the difference is 17. Find the value of the greater int

eger.

1 answer:

Mars2501 [29]1 year ago

5 0

Answer:

4

Step-by-step explanation:

5(x + 1) -x = 17 Distribute the 5

5x + 5 - x = 17 Combine like terms

4x + 5 = 17 Subtract 5 from both sides

4x = 12 Divide both sides by 4

x = 3

Three is the smaller integer and 4 is the greater integer.

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Verify the identity

Thepotemich [5.8K]

<u>Given</u>:

Given that we need to prove the identity $\sin x+\sin x \tan ^{2} x=\tan x \sec x$

<u>Proof</u>:

Step 1: Factor out the common term sin x, we get;

$\sin x\left(1+\tan ^{2} x\right)=tan \ x \ sec \ x$

Step 2: Using the identity $1+tan^2 x=sec^2x$

$\sin x \sec ^{2} x=tan \ x \ sec \ x$

Step 3: Reciprocating sec x, we get;

$\sin x \cdot \frac{1}{\cos ^{2} x}=tan \ x \ sec \ x$

Step 4: Splitting the denominator, we have;

$\frac{\sin x}{\cos x} \cdot \frac{1}{\cos x}=tan \ x \ sec \ x$

Simplifying, we get;

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Thus, the identity is proved.

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3 years ago

1<br> Is the value of -6 -6 POSITIVE, NEGATIVE, or ZERO?

xxTIMURxx [149]

Answer:

Negetive

Step-by-step explanation:

It helps to re-write.

-6 + -6 is the same as -6 -6

-6 + -6 = - 12

It would be different if these were multiplied together, but AS WRITTEN, they are subtracted. If it was (-6)(-6) or -6(-6) that would indicate multiplication as well.

The answer is negative.

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3 years ago

40.75 in word form.

cricket20 [7]

Answer:

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NeTakaya

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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