Rationalize the denominator​

Rationalize The Denominator

Answers

Answer 1

Answer:

[tex]\huge\color{purple}\boxed{\colorbox{black}{Answer♡}}[/tex]

[tex] \frac{2}{ \sqrt{7} - 1} \\ = > \frac{2}{ \sqrt{7} - 1} \times \frac{ \sqrt{7} + 1}{ \sqrt{7} + 1} \\ = > \frac{2( \sqrt{7} + 1)}{ \sqrt{7} {}^{2} - 1 {}^{2} } \\ = > \frac{2 \sqrt{7} + 2}{7 - 1} \\ = > \frac{2( \sqrt{7} + 1)}{6} \\ = > \frac{ \sqrt{7} + 1}{3} [/tex]

[tex]\color{red}\boxed{\colorbox{skyblue}{Additional Information~}}[/tex]

Here..Step 3 contains the algebraic identity

( a + b ) × ( a - b ) = -

Also.. in the very last step ,

we earlier had 2 multiplied to rest of the numerator and 6 in the denominator..

we simply divided both the numerator as well as denominator by 2 and hence got the result obtained.

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‎ ‎

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hope helpful~

~Be Brainly!~Exhausted Zombie
Answer 2
Here’s the answer….hope it helps ;)
Rationalize The Denominator

Related Questions

Y=2x,x+y=9 solve by substitution show work

Answers

Answer:

(3,6)

Step-by-step explanation:

y = 2x

x+y = 9

; x+(2x) = 9

3x = 9

x = 3

y = 2x

y = 2(3)

y = 6

Hello there here is the problem you gave us

[tex]y=2x,x+y=9[/tex]

You want to us to solve this by substitution,

_______________________

[tex]y=2x[/tex] [tex]x= \frac{1}{2}y[/tex]

_______________________

we can substitute [tex]y[/tex] for [tex]2x[/tex] and get the equation

[tex]x+2x=9[/tex], do the simple algebra and we get that [tex]x=3[/tex], remember though [tex]y=2x[/tex], plug in the value that [tex]x=3[/tex] and get that [tex]y=6[/tex]

_______________________

[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]

[tex]x=3[/tex] [tex]y=6[/tex] Have a good day :) !

The value of y varies directly with x.
When y=3, x=1.
What is the value of y when x is 4?
12
3/4
4 1/3
8

Answers

Answer:

12

Step-by-step explanation:

x = 1 y = 3, x = 2 y = 6, x = 3 y = 9, x = 4 y = 12

Answer:

12

Step-by-step explanation:

if x=1 , y =3

if x=4 then y=3×4=12

y=12

What is an included angle and an included side?

A: Included Angle: A 90 deg angle
Included Side: The longest
side

B: Included Angle: An angle between two angles
Included Side: A side between two sides

C: Included Angle: An angle between two sides.
Included Side: A side between two angles

Answers

Answer:

C

Step-by-step explanation:

W
Enter the value of x-21.
(x - 21)
71

Answers

Step by step
(x - 21)(71)
=(x + - 21)(71)
=(x)(71) + (-21)(71)


=71x -1491

what is s and what is t?

Answers

Answer:

Step-by-step explanation:

S = 2

T = -2

so in S - T = 4. 2 - -2 = 4

IN S + T = 2  S + - 2 = 2

Need help ASAP! Question in picture;)

Solve for x.

Answers

Step-by-step explanation:

[tex]30 + 4x + 2 = 80[/tex]

[tex]4x + 32 = 80[/tex]

[tex]4x = 48[/tex]

[tex]x = 12[/tex]

Answer:x = 12.Step-by-step explanation:30 + (180 - 80) + 4x + 2 = 180=> 30 + 100 + 4x + 2 = 180=> 132 + 4x = 180=> 4x = 180 - 132=> 4x = 48=> x = 12Conclusion:

Therefore, the answer is x = 12.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

find the perimeter of a rectangle whose length is 4cm greater than its height, and whose area is 60 cm^2.

Answers

Answer:

32

Step-by-step explanation:

x=6

and it's x+x+(x+4)+(x+4)

Answer:

80cm

Step-by-step explanation:

Lets have height be x

Then the length would be x+4

So the area would be x*x+4=60

Solve: 2x+4=60, 2x=36, x=18

The height is 18 so the length is 22

The perimeter=18*2+22*2

Result: 80cm

PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls

Answers

Answer:

See below

Step-by-step explanation:

1)

x + 5 = 12, subtract 5 from both sides

x = 7

Subtraction property of equality

a = ba - c = b - c

2)

x + y = 20 and y = 5, substitute 5 into first equation

x + 5 = 20

Substitution property of equality

a + b = c and b = da + d = c

3)

2x - 3 = 11, interchange the sides of equality

11 = 2x - 3

Symmetric property of equality

a = bb = a

Answer:

1. if x + 5 = 12, then x = 7

:Subtraction property of equality

2. If x + y = 20, and y = 5, then x + 5 = 20.

:Substitution property of equality

3. If 2x3 = 11, then 11 = 2x - 3.

:Symmetric property of equality

a
The eighth-grade class has a total of 162 students. The students need to be
divided evenly into homerooms. There needs to be at least 20 students in
each homeroom. List all the possible combinations. Which combination
makes the most sense? Explain.

Answers

Answer:

162/20 Would be your answer, however, it wouldn't make sense as you can not switch students into decimals. Therefore, you could make 7 classes of 20, and one of 22, and 6 classes of 20, and two of 21. Therefore, there are two combinations that are possible.

Step-by-step explanation:

Refer to the answer.

Answer:

56

Step-by-step explanation:

If the population of Centertown is currently 4,600 and it grows by 200 people each year, when will the population double?​

Answers

After 23 years

hope this is helpful!

HELP ME PLEASE 20 POINTS
In a certain chemical the ratio of zinc to copper is 4 to 17 a jar of the chemical contains 595 grams of copper. How many grams of zinc does it contain

Answers

Answer:93 grams Zinc

Step-by-step explanation:3 Zinc : 13 Copper

x 31       x 31            

93 Zinc,     403 Copper

or

set up a proportion, cross multiply, and solve for the variable:

3(403) = 13(x)

3(31) = x

93 = x

The slope of a line is −3, and a point on the line is (4,−1).

Question 1
Part A

What is the equation of the line expressed in slope-intercept form?



Answers

Answer:

Y= -3x + 11

Step-by-step explanation:

Y= -3x + 11 (-3x is your slope and 11 is your y intercept)

The area of the parallelogram is 17.6cm. What is the length of the base

Answers

Answer:

hope it helps

area of parallelogram: base × height = 17.6 cm sq

                                  ⇒ 4 × h = 17.6

                                  ⇒ h = 17.6/4

                                  ⇒ h = 4.4 cm

Step-by-step explanation:

The height of the parallelogram is 4.4 cm.

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, a area of a parallelogram is 17.6 cm² and its base is 4cm.

We know that, the area of parallelogram is Base × Height

Now, 17.6 =4× Height

Height =17.6/4

Height =4.4 cm

Therefore, the height of the parallelogram is 4.4 cm.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

If a area of a parallelogram is 17.6 cm square and its base is 4cm, find its corresponding height .​

write the equation of a line that passes through the points (-7,-4) and (-5,-6)

Answers

Answer:

y=-x-11

Step-by-step explanation:

HELP PLZZ! DUE IN 15 MIN!! plz explain your answer to

Answers

Answer:The chance of getting a 5 or 6 in the next turn is about 40%.Step-by-step explanation:=> (5 + 3) ÷ (3 + 3 + 0 + 6 + 3 + 5)=> 8 ÷ 20=> 8/20=> 4/10=> 0.40=> 0.40 x 100=> 40%Conclusion:

Therefore, the chance of getting a 5 or 6 in the next turn is about 40%.

Hoped this helped

[tex]BrainiacUser1357[/tex]

A fifth-degree polynomial equation with rational coefficients has the roots 3, 8i, and 7- radical 5. Which are also roots of the polynomial equation?

Answers

Using complex numbers and radicals, it is found that the correct option is C.

When a complex number is a root of a polynomial function, it's conjugate also has to be.

Hence, since 8i is a root of the function, -8i is also a root.

The same is valid for radicals, as they are in the [tex]\pm[/tex] format.

Since [tex]7 - \sqrt{5}[/tex] is a root, [tex]7 + \sqrt{5}[/tex] is also a root.

Hence, option C is correct.

For more on complex numbers and radicals, you can check https://brainly.com/question/25173944

Solve for X. Please help ASAP.

Answers

Answer:

x = 36.87

Step-by-step explanation:

Find the length of the missing side.

x^2 + 12^2 = 15^2

x^2 + 144 = 225

x^2 = 81

x = 9

Now use the law of sines:

sin(90)/15 = sin(x)/9

Multiply each side by 9

9 * sin(90)/15 = sin(x)

0.6 = sinx

sin^-1 = 36.86989 rounded to 36.87

Solve for a.
4(a +3) = 12 + 40
=
-3
-1
no solution
all real numbers

Answers

Answer:  All real numbers.

Step-by-step explanation:

4(a+3) = 12 + 4a

4a + 12 = 12 + 4a

Any value of a will work in this equation, since it is a simple identity.  4a + 12 will always equal 4a + 12, regardless of a.

All real numbers, although I don't know why imaginary numbers wouldn't also work.

ANSWER:
All reall numbers

If a bank represents deposits with positive numbers and withdrawals as negative numbers, what could 10 + (-60) represent?

Answers

Answer:

A $10 deposit followed by a $60 withdrawal

Step-by-step explanation:

The 10 is positive, so it would represent a deposit, and the 60 is negative, so it would represent a withdrawal.

find the domain of y= 2/3 square root of x+5-4

Answers

Set the radicand in

x

5
x
-
5
greater than or equal to
0
0
to find where the expression is defined.
x

5

0
x
-
5

0
Add
5
5
to both sides of the inequality.
x

5
x

5
The domain is all values of
x
x
that make the expression defined.
Interval Notation:
[
5
,

)
[
5
,

)
Set-Builder Notation:
{
x
|
x

5
}
{
x
|
x

5
}
The range of an even indexed radical starts at its starting point
(
5
,
0
)
(
5
,
0
)
and extends to infinity.
Interval Notation:
[
0
,

)
[
0
,

)
Set-Builder Notation:
{
y
|
y

0
}
{
y
|
y

0
}
Determine the domain and range.

HELP HELP HELP HELP HELP What is the range of the data shown in this stem-and-leaf plot?

Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21

Answers

Answer:  34

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

Explanation:

The smallest data value is 13. This is due to the stem 1 and leaf 3.

The largest is 47. This is from the stem 4 and leaf 7.

The span between these items is 47-13 = 34

please help I give you 30 points

Answers

Answer:

The last one,  14 3/4

Step-by-step explanation:

I hope this helped :)

An ice cream machine produced 45 ice cream sandwiches per minute. After reconditing, its speed increased to 54 ice cream sandwich's per minute. By what percent did the speed of the machine increase?

Answers

Percent of speed the machine increase is 20%

Given that;`

Number of ice cream produced before = 45

Number of ice cream produced after = 54

Find:

Percent of speed the machine increase

Computation:

Percent of speed the machine increase = [Number of ice cream produced after - Number of ice cream produced before] / Number of ice cream produced before

Percent of speed the machine increase = [(54 - 45) / 45]100

Percent of speed the machine increase = [9 / 45]100

Percent of speed the machine increase = 20%

Learn more:

https://brainly.com/question/15013012?referrer=searchResults

Percent of speed the machine increase is 20%

pls help me pls help me pls help me

Answers

Answer:

d. 210

Step-by-step explanation:

well for the first textbook you have 7 options

for the 2nd placeholder you have 6 options

and the 3rd you have 5

so its 7x6x5 which is 210 different combinations

thx for 50 points :D

In the past year Jina watched 36 movies that she thought were very good. She watched 60 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?

Answers

Answer:

It is 21.6

hope this helps

A triangle has an area of 16in^2 and a height of 4in. What is the length of the base?

Answers

Answer:

8 inches

Step-by-step explanation:

The area of a triangle is:

a = 1/2 × b × h

b = length of the baseh = height

We can sub in the values we know:

16in² = 1/2 × b × 4in

To find b, we divide both sides by 1/2 and 4in:

16in² ÷ (1/2 × 4in) = b

16in² ÷ 2in = b

b = 8in

Hope this helps!

8 inches is the answer

write a polynomial function in standard form with the given zeros x=1,-1,-2

Answers

Answer:

  y = x³ +2x² -x -2

Step-by-step explanation:

A polynomial with root q has a factor (x -q). The factored form of the polynomial is ...

  y = (x -1)(x +1)(x +2)

  y = (x² -1)(x +2) . . . . . . partial simplification

  y = x³ +2x² -x -2

A sector with a radius of 6cm has a central angle measure 4pie/9 (in radius)

What is the area of the sector ?


Answers

Answer:

8πcm² = 8pi cm²

Step-by-step explanation

The formula for area of a sector = ½r²θ

Where r = radius = 6cm

θ = central angle = 4pi/9 in radians = 4π/9

Area of the sector = 1/2 × 6² × 4π/9

Area of the sector = (144π/18)cm²

Area of the sector = 8πcm²

Therefore, Area of the sector =

8πcm² = 8pi cm²

10x + 4y = 16 in slope intercept form

Show your work please

Answers

[tex]10x+4y=16\\\\\implies 4y = 16-10x\\\\\implies y =\dfrac14(16-10x)\\\\\implies y = 4 - \dfrac 52 x\\\\\implies y=-\dfrac 52 x +4\\\\\text{This is the slope - intercept form (y=mx+b).}[/tex]

Answer:

y = - 2.5x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

10x + 4y = 16 ( subtract 10x from both sides )

4y = - 10x + 16 ( divide through by 4 )

y = [tex]\frac{-10}{4}[/tex] x + 4 , that is

y = - 2.5x + 4 ← in slope- intercept form

In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and g (x) = x-5/2 to determine if f(x) and g(x) are inverse of each other.

Answers

Answer:

In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and to determine if f(x) and g(x) are inverses of each other?

It is very difficult to know because you did not include the function g(x), you only gave us f(x).

Given two lists of ordered pairs [x,f(x)] and [x,g(x)]. If for every ordered pair on the f(x) list the reverse is on the g(x) list the functions are inverses.

f(0) = 5 so for (0,5) on the f(x) list then (5,0) must be on the g(x) list

f(1) = 7 so for (1,7) on the f(x) list then (7,1) must be on the g(x) list

f(2) = 9 so for (2,9) on the f(x) list then (9,2) must be on the g(x) list

So even though you didn’t list g(x), g(x) = (x/2) - 5/2

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