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xxMikexx [17]
3 years ago
7

Simplify the expression.

Mathematics
1 answer:
Yuri [45]3 years ago
3 0

Answer:

The answer to your question is letter A) cot x

Step-by-step explanation:

                                            \frac{1 - cot x}{tan x - 1}

Remember that cot x = \frac{1}{tan x}

Then

                                             \frac{1 - \frac{1}{tan x} }{tanx -1}

Simplify

                                             \frac{\frac{tan x - 1}{tan x} }{tan x - 1}

                                             \frac{tan x - 1}{tan x (tan x - 1)}

                                             \frac{1}{tan x}

Result

                                            \frac{1}{tan x} = cot x                                                      

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Answer:

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Step-by-step explanation:

Do the question algebraically, represented by this equation:

let x be the shorter piece

x + (x + 8) = 26                      (longer piece is 8 units longer)

Remove brackets

x + x + 8 = 26                 Combine like terms              

2x + 8 = 26                   Start isolating "x"

2x + 8 - 8 = 26 - 8           Subtract 8 from both sides

2x = 18

2x/2 = 18/2           Divide both sides by 2

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The shorter piece would be 9 inches.

If you needed the longer piece too:

longer piece = x + 8

x + 8

= 9 + 8

= 17

The longer piece would be 17 inches.

Check your answer:

Longer + Shorter = 26           Substitute the lengths

17 + 9 = 26                    Add

26 = 26                same number

LS = RS                left side equals right side

The answer is correct.

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Step-by-step explanation:

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