Solve for x. " fx+g=h"

3. Give an example of an expression with a rational exponent and explain how to convert it into radical form.

asambeis [7]

<h2>Solution -: </h2>

Example -1 

Here we have ,,, 

$(6 \: x) { \frac{9}{5} }^{}$

solve -; 

6x ^9×1/5

 $\big[(6x \: ) {}^{9} ] {}^{ \frac{1}{5} }$ 

Convert on radical form 

 $\sqrt[5]{(6x) {}^{9} }$ 

Example -2 

 $\displaystyle{}a {}^{ \frac{2}{5} } \\ = \sqrt[5]{x {}^{2} } \: \: \: \: \: \: \: \because ( \sqrt[m]{x {}^{n} } )$ 

<h2>__________________</h2><h3>More Basic Information -: </h3>

hair in the question 3x is called radicant and five is called the index of radical. and in second question X is radicant of the number and five and two are index of the number.

types of Radical -: 

pure radical
mixed radical
unequal radical
equal radical

rationalization 

the operation of multiplication of a radical with the other radical to get product a rational number is called rationalisation.

other name 

surds

5 0

1 year ago

True or false: the equation tan^2x+1=sec^2x

zhenek [66]

ANSWER

True

EXPLANATION

The given trigonometric equation is:

${ \tan}^{2} x + 1 = { \sec}^{2} x$

We take the LHS and simplify to arrive at the RHS.

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

Collect LCM on the right hand side to get;

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

This implies that

${ \tan}^{2} x + 1 = \frac{1}{{ \cos}^{2} x} .$

${ \tan}^{2} x + 1 = {( \frac{1}{ \cos(x) }) }^{2}$

${ \tan}^{2} x + 1 = { \sec}^{2} x$

This identity has been verified .Therefore the correct answer is true.

3 0

2 years ago

Please help! Will give Brainliest! Identify the axis of symmetry of y = ( x - 7 ) ( x + 1 )

inysia [295]

The axis of symmetry would be X=3

3 0

2 years ago

Read 2 more answers

The point (3,2) reflected in the x-axis is (

ioda

Answer:

reflected across the x-axis is 3,-2 and the y axis is -3,2

Step-by-step explanation:

When you reflect over the X axis it will stay the same numbers but change the Y axis sign. the same thing happens to the y -axis but the x changes siogns instead

8 0

2 years ago

There are 3 feet in a yard. How many yards, as a mixed number, will you drive until you reach this exit?

Ratling [72]

The number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

<h3>How to determine the number of yards to drive?</h3>

The complete question is added as an attachment

From the attached figure, we have:

Exit = 1000 feet

From the question, we have

3 feet = 1 yard

So, the number of yards is

Number of yard =Exit/3 yards

This gives

Number of yard = 1000/3 yards

Evaluate the quotient

Number of yard = 333 1/3 yards

Hence, the number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards