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ExtremeBDS [4]
3 years ago
12

Prove the identity

Mathematics
1 answer:
Troyanec [42]3 years ago
3 0

Answer:

Proved

Step-by-step explanation:

The options are not given. So, I will solve from scratch

Given

\frac{secx-1}{tan x}= \frac{tanx}{secx+1}

Required

Prove

Multiply the right-hand side by \frac{secx + 1}{secx + 1}

\frac{secx-1}{tan x} * \frac{secx + 1}{secx + 1}= \frac{tanx}{secx+1}

Apply difference of two squares on the numerator

\frac{sec^2 x - 1}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}

In trigonometry:

tan^2x = sec^2x - 1

So, we have:

\frac{tan^2 x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}

\frac{tan x * tan x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}

tan x cancels out

\frac{tan x}{secx + 1} =\frac{tanx}{secx+1}

<em>Proved</em>

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What are the scale factor of ABC dilated to XYZ plz help
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<h3>Answer:  B) 2/3</h3>

====================================

Explanation:

The order is important for ABC and XYZ so we can see what letters pair up.

  • A pairs with X since they are the first letters
  • B pairs with Y since they are the second letters
  • C pairs with Z since they are the third letters

Based on that, we can see that AB pairs with XY as they are the first two letters of ABC and XYZ respectively.

Divide the length XY over AB and reduce

XY/AB = 10/15 = 2/3

We could also divide XZ over AC

XZ/AC = 14/21 = 2/3

and we get the same ratio

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3 years ago
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Evaluate the expression: (–2)2 + (–42) + (18 – 23).
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Answer:

-51 (no options are matching)

Step-by-step explanation:

Given: (–2)2 + (–42) + (18 – 23).

we know, 2*2 = 4, and in integer multiplication if any negative integer is multiplied with positive integer, then the result will have a negative sign.

= -4 + (-42) + (18 – 23)

Here, we have open the brackets, and written the respective signs with the integers,

= - 4 - 42 - 5

now, we will perform the integer addition. Adding all the positives together & he negative numbers together

= -51

PS: It happens to be that none of the given options match with the correct answer. But, i have solved taking the expression, i hope it helps

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I am Lyosha [343]

Answer:

Mary has the better deal

Step-by-step explanation:

Jennifer's $1.35 * 12 = $16.20

Mary's 12 flowers = $15.96

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Answer:

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Step-by-step explanation:


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