Rationalize the denominator and simplify:
a) (√3 - √2)/( √3+√2)
b) (5+2√3)/(7+4√3)
c) (1+√2)/(3 - 2√2)

Answers

Answer 1

Answer:

A) (√3-√2)/(√3+√2)

Step-by-step explanation:

i think so


Related Questions

You and your sister are buying your mom a birthday gift. You paid $54 and your sister paid $22. What percentage did each sister contribute to the total cost of the gift?

Answers

Answer:

$54 = 71%, $22 = 29%

Step-by-step explanation:

54+22=76

54/76 = 0.7105

22/76 = 0.2894

Explain the steps in solving 2.14x-12.18=-576 , and write the solution to the equation.

Answers

Answer:

  x = 274 91/107

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

  2.14x -12.18 +12.18 = 576 +12.18

  2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

  2.14x(1/2.14) = 588.18(1/2.14)

  x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

Answer:

x = 274 91/107

Step-by-step explanation:

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

 2.14x -12.18 +12.18 = 576 +12.18

 2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

 2.14x(1/2.14) = 588.18(1/2.14)

 x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

A customer buys 6 packages of nails and 7 packages of screws for $74.35. What is the price of a package of screws?

Answers

The price of the package of screws would be = $40

How to calculate the package of screws bought by the customers?

The quantity of nails bought by the customer = 6 packages

The quantity of screw bought by the customer = 7 packages of screw.

The total amount of the whole package = $74.35

The total number of packages = 6+7 = 13

For screws = 7/13 × 74.35

= 520.45/13 = $40

Learn more about division here:

https://brainly.com/question/25289437

#SPJ1

estimate the area of the following irregular shapes
will give brainliest​

Answers

Answer: You need to count how many squares are shaded(at least half of it), therefore the area is 32 square units.

solve 5/4 ​ × (− 9/2 ​ )

Answers

Answer:

-40/8= -5

Step-by-step explanation:

Multiply the top to get -40 then the bottom to get 8. When you simplify, you get -5.

Answer:

-5.625

Step-by-step explanation:

5/4 × (-9/2)

=5×(-9)/4×2

=-45/8

=-5.625

(2 + 10) × 5 = (2 × 5) + ( __ × 5)

Answers

Answer:

10

Step-by-step explanation:

We can use the distributive property to get:

[tex]5(2+10)=5(2)+5(10)[/tex]

Therefore, the blank is 10.

what is -27/40 as a decimal number. AND NO LINKS pls and thank you :)

Answers

Answer:

-0.675

Step-by-step explanation:

A fraction is another way of writing a division problem. So to figure this out, simply divide -27 by 40


1. Name a midsegment in the triangle.

Answers

Answer:

EF

Step-by-step explanation:

Hope this helps!

Find a counterexample to the statement below

“All prime numbers are odd”

Answers

Answer:

The number 2

Step-by-step explanation:

Answer:

"2 is prime and it is even"

Step-by-step explanation:

a train is leaving the station and goes from 3m/s to 30 m/s in 12 s. The acceleration of the train is

Answers

Answer:2.25 m/s^2

Step-by-step explanation:

a = (v-u)/t = 27/12 = 2.25 m/s^2

Evaluate the expression to find out how much she will pay if she drives 100 miles.
250 + 0.80m

Answers

We plug 100 miles into 0.80. 250 + 0.80(100) is 250 + 80. 250 + 80 is 330.

Which of the following is equal to
(x - 3)(2x + 4x - 1)?
A 2x3 - 2x2 - 11x + 3
B 2x3 -- 2x2 - 13x + 3

Answers

Answer:  [tex]2x^3-2x^2-13x+3[/tex]

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

Work Shown:

I'm assuming you meant to say [tex](x - 3)(2x^2 + 4x - 1)[/tex]

Let [tex]y = x-3[/tex]

So,

[tex](x - 3)(2x^2 + 4x - 1)\\\\y(2x^2 + 4x - 1)\\\\y2x^2 + y4x - y\\\\2x^2(y) + 4x(y) - (y)\\\\2x^2(x-3) + 4x(x-3) - (x-3)\\\\2x^3-6x^2 + 4x^2-12x - x+3\\\\2x^3-2x^2-13x+3\\\\[/tex]

The basic idea is to use the distribution rule (line 3 and line 6) and then combine like terms.

Each figure shows a pair of similar triangles, one contained in the other.
For each pair, describe a point and a scale factor to use for a dilation
moving the larger triangle to the smaller one. Use a measurement tool
to find the scale factor.

Answers

Dilation involves enlarging or reducing the size of a shape.

The scale factor of dilation is 1/6

From the complete question, the side lengths of corresponding sides of both triangles are:

[tex]AC =18cm[/tex]

[tex]AC' =3cm[/tex]

This means that, the larger triangle is ABC, while the smaller triangle is AB'C'.

So, the scale factor of dilation from the larger triangle to the smaller triangle is:

[tex]k = \frac{AC'}{AC}[/tex]

This gives

[tex]k = \frac{3cm}{18cm}[/tex]

Remove the common units

[tex]k = \frac{3}{18}[/tex]

Reduce fraction

[tex]k = \frac 16[/tex]

Hence, the scale factor of dilation is 1/6

Read more about dilation at:

https://brainly.com/question/3457976

What is the first step of the second step to prove that Sn arrow 1+2+3+..+n=n(n+1)/2?

Answers

Answer:

I'm pretty sure it's, "verify that Sn is valid for n=1". I think... lol.

Step-by-step explanation:

The difference between three times a number and seven is twenty. What is the number?
20
7
13
3
O9
O 27

Answers

Answer:

the number is 9

Step-by-step explanation:

hope this helps

If f(x) = 14
then what does f(-3) equal?

Answers

Answer:

27 I do believe so sorry if im wrong

Step-by-step explanation:

2. Quinnel made 14 shots out of the 40 he took during his first season of basketball.
Suppose he took 60 shots during his second season. How many shots would you expect
Quinnel to make during his second season of basketball?

Answers

Answer:

21

Step-by-step explanation:

his ratio of shots from the first game would be 14:40 or 7:20

so if he made the same ratio from 60 shots it would be

21:60

My friend needs your help

Answers

Answer:

Excuse me but there doesn't seem to be a question here, please let me know if there is so I can help you

Step-by-step explanation:

Have a great rest of your day

#Nova

Triangle UVW is dilated by a scale factor of 6 to form triangle U'V'W'. Side W'U'
measures 18. What is the measure of side WU?

Answers

Answer:

WU= 3

Step-by-step explanation:

Know that, W'U'÷ (scale factor) = WU

18÷6 is equal to 3

scale factor= 3

Pentagon ABCDE and pentagon A’B’C’D’E are shown on the coordinate plane below:

Answers

the first one ((x+8, y+2), r x-axis)

4)Find the value of x and y

Answers

x=48, y=110

Explanation:

55-7=48

55+55=110

Help plzzz!! Find the slope through these pairs of points
(5,-15),(12,2)
(-18,-20),(6,-5)
(-18,-19),(-17,-19)
(-1,3),(-11,-17)

Answers

We can use the formula y2-y1/x2-x1 to find the slope.

1. 2-(-15)/12-5 gives us 17/7. The slope is 17/7.

2. -5-(-20)/6-(-18) gives us 15/24. We can simplify this to 5/8. The slope is 5/8.

3. -19-(-19)/-17-(-18) is 0/1. The slope is 0.

4. -17-3/-11-(-1) is -20/-10. The slope is 2.

help pls please again and again anf again​

Answers

2^5.

2*2*2*2*2 = 32.

The equation simplified is 32 or 2^5.

I’m very confused! Please help me (I’ll mark brainliest if you explain!)

Answers

Answer:4 **rounds

Step-by-step explanation:

It’s dividing by 2 each time.

Answer:

4 more rounds

Step-by-step explanation:

you will see there is a pattern which is dividing by 2

16/2=8

8/2=4

4/2=2

2/2=1

but since thats not an option i think it would be 8 dont ask its would be eight if not 4

Look at the equation 14n=98 work out the value of 14(n+1)

Answers

Answer:

The value of 14(n+1) is 112.

Step-by-step explanation:

14n=98

n=98/14

n=7

-------------

14(n+1)=14(7+1)=14(8)=112

In the equation "y=mx+b" to find the answer do you have to multiply m and x then add b?

Answers

Answer: no.

Explanation:

As an example, let's use y=2/3x-8.

In this formula, the 2/3 before the x I the slope of the problem. The -8 would be the y-intercept. You use this formula to find both of those to graph a line, you do not multiply the slope and the x together.

a. Examine the zeros of the graph, and write a function that models this situation.


b. After 10 minutes, the elevation model changes and is given by the function Use the Edmentum Graphing Tool to graph this function. Capture a screenshot of your graph, and paste it in the space provided.

Answers

Answer:

See below

Step-by-step explanation:

A) We have zeroes at (2,0) (3,0) (5,0) (9,0) and (10,0). Therefore, we can write the function as (x-2)(x-3)(x-5)(x-9)(x-10) = x⁵-29x⁴+311x³-1519x²+3360x-2700

B) View attached screenshot for reference

2. The graph represents the amount
of water, y, left in a 13.5-gallon tub
after x minutes. What is the slope of
the line? What does the slope mean
in this context?

Answers

Answer:

Slope: -3/2

With the question, we can determine that the slope with two points: (0,13.5) and (9,0). To calculate use the equation [tex]\frac{y2-y1}{x2-x1}[/tex] and get [tex]\frac{0-13.5}{9-0} =\frac{-13.5}{9} =\frac{-3}{2}[/tex]

This slope means that the water is decreasing at a rate of 3/2 gallons per minute.

i need answer please​

Answers

The unknown side of the right angle triangle is the hypotenuse side of the triangle and the length to the nearest tenth is 20.5 cm.

What is a right angle triangle?

Right angle triangle are triangle that has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.

Therefore,

c² = a² + b²

where

c = hypotenusea and b are the other legs

Hence,

15² + 14² = x²

225 + 196 = x²

x = √421

x = 20.5182845287

x ≈ 20.5 cm

learn more on right angle triangle here:https://brainly.com/question/3770177

What situation could be modeled with the equation of 40 devided by 8 equals 5

Answers

Answer:

Go to explanation

Step-by-step explanation:

You can say: At your birthday party, you have 7 friends who were there with you. There are 40 cookies to be shared with all of you, and you want it to be split equally. How many cookies does each person get?

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