How do you ratify the denominator for 2/ 2(sqrt2)? When I multiply by sqrt2/sqrt 2 I'm still left with a radical in the denominator.

Answers

Answer 1

Answer: [tex]\dfrac{\sqrt{2}}{2}[/tex]

Step-by-step explanation:

Given

The fraction is [tex]\dfrac{2}{2\sqrt{2}}[/tex]

Making denominator a number, multiply and divide by [tex]\sqrt{2}[/tex]

[tex]\Rightarrow \dfrac{2}{2\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}\\\\\Rightarrow \dfrac{2\sqrt{2}}{2\sqrt{2}\times \sqrt{2}}=\dfrac{2\sqrt{2}}{2\sqrt{2\times 2}}\\\\\text{cancel out the common term 2}\\\\\Rightarrow \dfrac{\sqrt{2}}{2}[/tex]


Related Questions

How many solutions does the system of equations have? Pls help :(

Answers

Given the system of equations below:

[tex] \large{ \begin{cases} y = 2x + 1 \\ - 4x + 2y = 2 \end{cases}}[/tex]

The first equation is y-isolated so we can substitute in the second equation.

[tex] \large{ - 4x + 2(2x + 1) = 2}[/tex]

Use the distribution property to expand in and simplify.

[tex] \large{ - 4x + 4x + 2 = 2} \\ \large{0 + 2 = 2 \longrightarrow 2 = 2}[/tex]

The another method is to divide the second equation by 2.

[tex] \large{ \frac{ - 4x}{2} + \frac{2y}{2} = \frac{2}{2} } \\ \large{ - 2x + y = 1}[/tex]

Arrange in the form of y = mx+b.

[tex] \large{y = 1 + 2x \longrightarrow y = 2x + 1}[/tex]

When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.

For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.

Answer

Infinitely Many

Hope this helps. Let me know if you have any doubts!

There are 2 vending
machines in an office
building.
The drink machine is
restocked by Derek every
24 days.
The snack machine is
restocked by Emily every
16 days.
If Derek and Emily met
today, in how many days
will they meet again?

Answers

Answer:

32 days

Step-by-step explanation:

Derek

24 then 48 then 72

Emily

16 then 32 then 48

16 + 16 =32

Answer:

48 days

Step-by-step explanation:

answer is in photo above

find the lowest common multiple of 24 and 16

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars,of the item.Expression A: Expression B: Expression C: Expression D: Expression E: Which two expressions each represent the sale price of the item?AExpression A and Expression EBExpression B and Expression CCExpression B and Expression DDExpression C and Expression D

Answers

Answer:

Expression B: 0.8p

Expression D: p - 0.2p

Step-by-step explanation:

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.

Expression A: 0.2p

Expression B: 0.8p

Expression C:1 - 0.2p

Expression D: p - 0.2p

Expression E: p - 0.8p

Which two expressions each represent the sale price of the item?

Regular price of the item = $p

Sale price = 20% off regular price

Sale price = $p - 20% of p

= p - 20/100 * p

= p - 0.2 * p

= p - 0.2p

= p(1 - 0.2)

= p(0.8)

= 0.8p

The sale price is represented by the following expressions

Expression B: 0.8p

Expression D: p - 0.2p

35 points. Brainliest gets double the points.

Answers

the answer is 18 to the question

The number of hours worked at a factory and the money earned is proportional. If an employee works 40 hours, they will earn $2500. How many hours does the employee work if earn $1500, Explain your reasoning

Answers

Answer:20 hours


Half of $2500 is $1500 and if you work 40 hours and get $2500 when you work 20 hours you get $1500.

The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to model their distance, in miles, from home after t hours of driving. find D(12) and interpret the meaning in the context of the problem.

Answers

Answer:

D(12) = 2,600 miles

It means a distance of 2,600 miles is already traveled from home after 12 hours

Step-by-step explanation:

To find D(12); all we have to do is to substitute the value of 12 for D

We have this as;

D(12) = 3260-55(12)

D(12) = 2,600

In the context of this problem, what this mean is that the distance away from home is 2,600 miles after traveling 12 hours

please help me solve

please show how you got the answer

Answers

Answer:

Step-by-step explanation:

The total amount paid by a member according to this table is

Total Amount Paid = fee + monthly fee(# of months)

Since the fee is the same regardless of how many months one signs up for, it should come out the same for each row in our table.

Row 1:

TAP = fee + 15(#months)

135 = fee + 15(4) and

135 = fee + 60 so

fee = $75

Row 2:

165 = fee + 15(6) and

165 = fee + 90 so

fee = $75

Row 3:

255 = fee + 15(12) and

255 = fee + 180 so

fee = $75

Apparently, the fee is $75.

(5x-23)
(7x-1)*
Help me please

Answers

Answer:

(5x-23)° + (7x-1)° = 180°

5x-23 + 7x-1 = 180

12x - 24 = 180

12x = 204

x = 17

.°. (5x-23)° = 62°

& (7x-1)° = 118°

A club raised 175% of it goal for a charity. The club raised $763.
use proportion please

Answers

Answer: The clubs goal is to raise  $436.

Step-by-step explanation:

175%  * x  = 763     where x is the goal  

1.75 *x  = 763

1.75x = 763

x= 436

algebra
huh still difficult and will always be.
Someone just...…..
please help me to figure out this

Answers

Answer:

[tex]z = 6[/tex]

Step-by-step explanation:

Let's solve:

[tex]5(z+1)=3(z+2)+11[/tex]

Step 1: Simplify both sides of the equation.

[tex]5(z+1)=3(z+2)+11 \\ (5)(z)+(5)(1)=(3)(z)+(3)(2)+11(Distribute) \\

5z+5=3z+6+11 \\

5z+5=(3z)+(6+11)(Combine Like Terms) \\

5z+5=3z+17 \\

5z+5=3z+17[/tex]

Step 2: Subtract 3z from both sides.

[tex]5z+5−3z=3z+17−3z \\ 2z+5=17[/tex]

Step 3: Subtract 5 from both sides.

[tex]2z+5−5=17−5 \\ 2z=12[/tex]

Step 4: Divide both sides by 2.

[tex] \frac{2z}{2} = \frac{12}{2} \\ z = 6[/tex]

Please help please explain it step by step please

Answers

Answer:

1. 10 root 3

2.

A=30

B = 60

Step-by-step explanation:

In picture

Please Help!!!!!!!!!

Answers

Answer:

The answer is D. 3

The difference between 32.6 and a number is 10.2. Which equation can be used to solve this problem?
32.6 minus y = 10.2
y minus 36.2 = 10.2
10.2 minus y = 32.6
y + 32.6 = 10.2

Answers

Answer:

The answer is 10.2-y=32.6 D. y+32.6=10.2

Step-by-step explanation:

Given : The difference between 32.6 and a number is 10.2

Let the number be : y

⇒   32.6 - y = 10.2

⇒   32.6 minus y = 10.2

Use an algebraic approach to solve the problem.

Aura took three biology exams and has an average score of 87. Her second exam score was 11 points better than her first, and her third exam score was 5 points better than her second exam. What were her three exam scores?

Answers

Answer:

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Step-by-step explanation:

Use the formula for the mean: sum of elements / number of elements

Let x represent her first exam score.

Her second exam score can be represented by x + 11, since it was 11 points better than her first.

Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.

Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):

mean = sum of elements / number of elements

87 =  ( (x) + (x + 11) + (x + 11) + 5 ) / 3

Add like terms and solve for x:

87 = (3x + 27) / 3

261 = 3x + 27

234 = 3x

78 = x

So, her first score was a 78.

Find her second score by adding 11 to this:

78 + 11 = 89

Find her third score by adding 5 to the second score:

89 + 5 = 94

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Help pleaseeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

-8 X 3 = -24 + 9 = -15 or you could do    -24+9=-15

Step-by-step explanation:

x = 72
Hope this helps

which graph shows the line y = -3x + 1​

Answers

Line B

Explanation:

The slope is negative so the line is going to the left. The y-intersect is 1.
The answer to the question is B

What process allows your body to cool off on a hot day?
A. insulation
B. evaporation
C. convection
(Ik I put the subject as math it's cuz biology hardly gets any answers)

Answers

Answer:

I believe the Answer is B

Answer:

B. evaporation

Step-by-step explanation:

round to the nearest ten i dont get it

Answers

Answer:

130

Step-by-step explanation:

instead of 132 round to the nearest 10 so its 130

Answer:

130

Step-by-step explanation:

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if needed
(#4 and #3 are solve for x)

Answers

Answer:

1) 720

2) 540

3) x = -1

4) x = 10

Step-by-step explanation:

The formula for finding the sum of interior angles in a polygon is the following,

[tex]S=180(n-2)[/tex]

Where (S) represents the sum of interior angles, and (n) represents the number of sides.

1)

The given polygon is a hexagon, meaning it has (6) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

[tex]S=180(n-2)[/tex]

[tex]S=180(6-2)\\\\S=180(4)\\\\S = 720[/tex]

2)

This polygon is a pentagon, meaning it has (5) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

[tex]S=180(n-2)[/tex]

[tex]S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]

3)

The sum of interior angles in a triangle is (180) degrees. One can see that one of the measures of an angle is (90) degrees (indicated by the box around the angle). One can form an equation by adding up the expressions for the angle measures and setting it equal to (180) degrees.

(55) + (x + 36) + (90) = 180

Simplify,

181 + x = 180

Inverse operations,

181 + x = 180

x = -1

4)

The remote angles theorem states that when one extends one of the sides of a triangle, the angle formed between the side and the extension is equal to the sum of the two non-adjacent interior angles in the triangle. Based on this theorem, one can form an equation and solve for the unknown.

<F + <G = <FEZ

Substitute,

(4x) + (-5 + 7x) = 105

Simplify,

4x - 5 + 7x = 105

11x - 5 = 105

Inverse operations,

11x - 5 = 105

11x = 110

x = 10

Which input value produces the same output value for the two functions on the graph?

x = −1
x = 0
x = 3
x = 4

Answers

There is no graph, but let me walk you through how I would work this out!

First, I would take one of the stated inputs and plug it into the given equation.

Then, I would see what I get and decipher if it matches with any of the two graphs!

Hope this somewhat helps :)
Switch them to the opposites, hope that helps.

Do anyone know this question?

Answers

Answer:

average revenue

gross profit

total revenue

net profit

marginal revenue

Step-by-step explanation:

A rectangle and a vertical line are shown. If the rectangle is revolved about the vertical line, what is the resulting object?

a rectangle with one side against a vertical line

solid cylinder
hollow cylinder
hollow cone with truncated top
solid cone

Answers

Answer:

Preetyy sure its D

Step-by-step explanation:

Its not a hollow cylinder

The resulting object will be a solid cylinder. Then the correct option is A.

What is a solid revolution?

When a figure is revolved around some fixed axis, the whole three-dimensional solid formed from the area that it swaps out is called a solid of revolution.

A rectangle and a vertical line are shown. If the rectangle is revolved around the vertical line.

Then the resulting object will be

If the rectangle is rotated about the vertical axis then the resulting shape will be a solid cylinder.

The diagram is shown below.

Learn more about solid of revolution here:

https://brainly.com/question/338504

#SPJ2

Can someone help me? It's urgent and thank you!

Answers

(-4, 2) is the mid point
The answer is M=(4,-2)


A rope is 9 1/2 meters long. How many pieces can be cut from the rope if
each piece is to be 1/4 meter?

Answers

A rope is 9 1/2 m long because 1/4 m that is your answer because I need points

m to the power of 5 ×m to the power of 6 × n to the power of 11 over m to the power of 3 × n to the power of 5 × n​

Answers

Step-by-step explanation:

[tex] \frac{( {m}^{5} \times {m}^{6} \times {n}^{11})}{ {m}^{3} \times {n}^{5} \times n} \\ = \frac{ {m}^{11} \times {n}^{11} }{ {m}^{3} \times {n}^{6} } \\ = {m}^{8} \times {n}^{5} \\ = {m}^{8} {n}^{5} [/tex]

Answer:

[tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]

Step-by-step explanation:

m to the power of 5 = m⁵

m to the power of 6 = m ⁶

n to the power of 3 = n³

n to the power of 11 = n¹¹

      [tex]m^5 \times m^6 \times n^{11}[/tex]   over  [tex]m^3 \times n^5 \times n^1[/tex] = [tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]

Simplified form:

[tex]m^{(5+6-3)} \times n^{(11 - 5- 1)} = m^8 \times n^{6}[/tex]

The picture is above I’ll mark as brainliest.

Answers

Answer:

A. 42 [tex]u^{2}[/tex]

Step-by-step explanation:

The area of the figure is length × width. The length of the figure is 7 units, and the width is 6 units.

Finding the area:

length × width

= 7 × 6

= 42 [tex]u^{2}[/tex]

Eugene has to buy cupcakes for a picnic. He needs to make sure that there are more than 8 cupcakes so each of his friends gets at least one cupcake. If Eugene buys y boxes that each contain 4 cupcakes, which inequality represents this situation?
A.
y < 8
B.
y > 8
C.
4y > 8
D.
4y < 8

Answers

Answer:

C

Step-by-step explanation:

4xy=4y

since each friend must get at least a cupcake, 4y must be larger than 8


Which of the equations below represents a line perpendicular to the x-axis?

A. X=3
B. X=3y
C. X=y
D. X=-3y

Answers

Answer:  A.  x = 3

This is a vertical line that goes through 3 on the x axis. Two points on this line are (3,0) and (3,1). Any vertical line is perpendicular to the x axis.

Which is a better estimate for the length of an almond?

a. 3 meters b. 3 centimeters

Answers

Answer:

3 centimeters

Step-by-step explanation:

nope

Answer:

[tex]B[/tex]

Step-by-step explanation:

A rectangle measures 8/3 inches by 9/4 inches. What is its area?

Answers

Answer:

To find the area, you have to multiply the length times the width

Step-by-step explanation:

Answer:

The area of this rectangle is 6 square units.

Step-by-step explanation:

Multiply the width (8/3 inches) by the height (9/4 inches) to get the rectangle area:

 8       9

----- * -----

  3      4

                        8 * 9

This results in ----------    which itself reduces to 6.  

                          4 * 3

The area of this rectangle is 6.

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