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Marrrta [24]
2 years ago
9

Write an equivalent expression.

Mathematics
1 answer:
meriva2 years ago
6 0

Answer:

6x-7

Step-by-step explanation:

4x+2x-7

6x-7

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<img src="https://tex.z-dn.net/?f=prove%20that%5C%20%20%5Ctextless%20%5C%20br%20%2F%5C%20%20%5Ctextgreater%20%5C%20%5Cfrac%20%7B
inysia [295]

\large \bigstar \frak{ } \large\underline{\sf{Solution-}}

Consider, LHS

\begin{gathered}\rm \: \dfrac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } \\ \end{gathered}

We know,

\begin{gathered}\boxed{\sf{  \:\rm \: {sec}^{2}x - {tan}^{2}x = 1 \: \: }} \\ \end{gathered}  \\  \\  \text{So, using this identity, we get} \\  \\ \begin{gathered}\rm \: = \:\dfrac { \tan \theta + \sec \theta - ( {sec}^{2}\theta - {tan}^{2}\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered}

We know,

\begin{gathered}\boxed{\sf{  \:\rm \: {x}^{2} - {y}^{2} = (x + y)(x - y) \: \: }} \\ \end{gathered}  \\

So, using this identity, we get

\begin{gathered}\rm \: = \:\dfrac { \tan \theta + \sec \theta - (sec\theta + tan\theta )(sec\theta - tan\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered}

can be rewritten as

\begin{gathered}\rm\:=\:\dfrac {(\sec \theta + tan\theta ) - (sec\theta + tan\theta )(sec\theta -tan\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered} \\  \\  \\\begin{gathered}\rm \: = \:\dfrac {(\sec \theta + tan\theta ) \: \cancel{(1 - sec\theta + tan\theta )}} { \cancel{ \tan \theta - \sec \theta + 1} } \\ \end{gathered} \\  \\  \\\begin{gathered}\rm \: = \:sec\theta + tan\theta \\\end{gathered} \\  \\  \\\begin{gathered}\rm \: = \:\dfrac{1}{cos\theta } + \dfrac{sin\theta }{cos\theta } \\ \end{gathered} \\  \\  \\\begin{gathered}\rm \: = \:\dfrac{1 + sin\theta }{cos\theta } \\ \end{gathered}

<h2>Hence,</h2>

\begin{gathered} \\ \rm\implies \:\boxed{\sf{  \:\rm \: \dfrac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } = \:\dfrac{1 + sin\theta }{cos\theta } \: \: }} \\ \\ \end{gathered}

\rule{190pt}{2pt}

5 0
2 years ago
Solve the formula A=1/2h(a+b)
lapo4ka [179]

Answer:

Step-by-step explanation:

3 0
2 years ago
Can some explain how to do this.
KatRina [158]

We can simplify the expression by using exponent properties, and we will see that the correct option is the fourth option.

<h3>How to simplify the expression?</h3>

Remember the exponent property:

\frac{a^n}{a^m} = a^{n - m}

Here we have the expression:

\frac{83.9*10^{12}*2.87*10^{-3}}{3.76*10^2}

We can reorder this to get:

\frac{83.9*10^{12}*2.87*10^{-3}}{3.76*10^2} = \frac{83.9*2.87}{3.76}*\frac{10^{12}*10^{-3}}{10^2}

The right side can be simplified to:

\frac{83.9*2.87}{3.76}*\frac{10^{12}*10^{-3}}{10^2} = 64.04*10{12 - 3 - 2} = 64.04*10^{7}

Now, we can move the decimal point one time to the left and increase the exponent by one, so we get:

6.404*10^8

Then we conclude that the correct option is the last one (where I rounded the expression to only 3 values after the decimal point).

If you want to learn more about scientific notation:

brainly.com/question/5756316

#SPJ1

3 0
1 year ago
Which reason could be used for statement 3??
Basile [38]

Option 3, definition of congruent segments is the answer I'm pretty sure

4 0
2 years ago
The ratios 9:18, 12:24, 15:30, 18:36, and 21:42 form a pattern of equivalent ratios in the table below.
Fynjy0 [20]

Answer:

I would say 6:12.

Step-by-step explanation:

it is equivalent to 12:24 because 12/2= 6 and 24/2 = 12 so 6:12 is your answer!

4 0
3 years ago
Read 2 more answers
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