How do you rationalize the denominator of a radical expression that has two terms in the denominator? (For example, the denominator is 1+√5.)

Answers

Answer 1

Answer:

A / (1 +√5) = A (1 - √5) / (1 - 5) = -A (1 - √5) / 4

Multiply numerator and denominator by (1 - √5)


Related Questions

Drag each statement on the left to the correct word on the right to tell whether each is true or false. The words "True" and "False" may be
used more than once.

1/ When rounding, you usually round to the closest number.

2/ When a number is halfway between the two possible numbers, round down to the
smaller number.

3/ When a number is halfway between the two possible numbers, round up to the
greater number.

4/ If you are rounding 897 to the nearest hundred, 890 and 900 are the two possible
numbers you choose between based on whether you are rounding up or down.

Answers

1. True
2. False
3. True
4. False

1. True

2. False

3. True

4. False

What is rounding?

Rounding represents replacing a numeral with an approximate value that includes a shorter, easier, or more explicit representation.

Rounding suggests making a number simpler but keeping its value close to what it existed.

Hence,

1. True

2. False

3. True

4. False

To learn more about rounding refer to:

https://brainly.com/question/27207159

#SPJ2

CAN SOMEONE HELP ME OUT I BEG U

Answers

Answer:

d

Step-by-step explanation:

Find the volume in cubic centimeters of a cube with a side length of 5 cm

Answers

Answer:

125 cm3

Step-by-step explanation:

V = l * w * h

V = 5 * 5 * 5

V = 125 cm3

Answer:

125 cm^3

Step-by-step explanation:

To calculate the area of a cube, just do the side length to the power of 3.

5^3=125

Solve and graph the solutions of |x − 5| > 12. Write the solutions as a compound inequality.

Answers

Answer:

inequality form: x<-7 or x> 17

Step-by-step explanation:

What is the slope of this line?


a.−23

b.−13

c.13

d.23

Answers

Answer:

D

Step-by-step explanation:

I think you meant to put the answers as a fraction

Answer:

if there were slashes in between every answer, the answer would be

D. 2/3

Step-by-step explanation:

m = y2-y1 / x2-x1  (slope formula)   ⋅the two points i used were: (0,-3) and (3,-1)

m = -1-(-3) / 3-0 (plug in the points)

m = -1+3 / 3-0

m = 2/3 (Simplify to get your answer)

Which expression is equivalent to 6(7x - 9)?

Answers

Answer:

42x - 54 I think

Step-by-step explanation:

Just simplify it  

Ms.Gómez ran 3/5 of a mile in 5 minutes. Mr. Hernández ran 3/5 of a mile in 3 minutes. How far did Ms gomez and mr Hernandez each run in 1 minute?

Show work or explain

Answers

Answer:

Ms G ran 3/25 mile per minute

Mr H ran 1/5 mile per minute

Step-by-step explanation:

Ms G:

create a proportion from mile/minutes = mile/minutes

let 'm' = amount of miles

3/5÷5 = m÷1

cross-multiply to get:

3/5 = 5m

m = 3/5 × 1/5 = 3/25

Mr H:

3/5÷3 = m÷1

cross-multiply to get:

3/5 = 3m

15m = 3

m = 3/15 or 1/5

Carl sold 32 sodas for $114 Medium sodas cost $300 and large sodas
cost $4.00 How many sodas of each size were sold?

Answers

Answer:

14 - medium sodas and 18 - large sodas

Step-by-step explanation:

x+y = 32 (the amount of medium and large sodas add up to 32)

3.00x + 4.00y = 114 (the cost of each soda = the amount of money made)

x = 32-y (isolate x and subsitiue it into the following equation)

3x+4y=114 --> 3(32-y) + 4y = 114

96 - 3y + 4y = 114

y=18

plug in 18 in to this equation x = 32-18, x=14

Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 6.4 minutes and a standard deviation of 1.7 minutes. For a randomly received emergency call, find the following probabilities.
a) between 5 and 10 min.
b) less than 5 min.
c) more than 10 min.

Answers

The probability that  a randomly received emergency call is between 5 and 10 min is 77.97%.

Z score

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation and x is the raw score.

Given that μ = 6.4, σ = 1.7

For x = 5:

z = (5 - 6.4) / 1.7 = -0.83

For x = 10:

z = (10 - 6.4) / 1.7 = 2.12

a) P(5 < x < 10) = P(-0.83 < z < 2.12) = P(z < 2.12) - P(z < -0.83) = 0.9830 - 0.2033 = 0.7797

b)  P( x < 5) = P(z < -0.83) = 0.2033

c)  P(x > 10) =1 - P(z < 2.12) = 1 - 0.9830 - 0.2033 = 0.017

The probability that  a randomly received emergency call is between 5 and 10 min is 77.97%.

Find out more on Z score at: https://brainly.com/question/25638875

455,757,974,946,454 ×454,942,164,313,233.Plz help.​

Answers

91929229

7373738292929202010100110010110

Does anyone have the answers to Basic derivative rules: table on khan academy?

Answers

Answer:

The following table lists the value of functions ggg and hhh, and of their derivatives, g'g  

g, prime and h'h  

h, prime, for x=3x=3x, equals, 3.

xxx g(x)g(x)g, left parenthesis, x, right parenthesis h(x)h(x)h, left parenthesis, x, right parenthesis g'(x)g  

(x)g, prime, left parenthesis, x, right parenthesis h'(x)h  

(x)h, prime, left parenthesis, x, right parenthesis

333 ~~9  9space, space, 9 ~~~0   0space, space, space, 0 -15−15minus, 15 ~~~6   6space, space, space, 6

Let function GGG be defined as G(x)=2g(x)-h(x)+8G(x)=2g(x)−h(x)+8G, left parenthesis, x, right parenthesis, equals, 2, g, left parenthesis, x, right parenthesis, minus, h, left parenthesis, x, right parenthesis, plus, 8.

G'(3)=G  

(3)=G, prime, left parenthesis, 3, right parenthesis, equals  

Step-by-step explanation:

If
x
=
4
and
y
=
5
, evaluate the following expression:
2
(
y

x
)

Answers

Answer:

2 because if y is 5 and x is 4 and we subtract them and get one and then multiply it by two to get two using pemdas

2(5-4) = 10-8 = 2

The answer is 2

2d +9= 19
The solution is d =

Answers

[tex]{\huge{\boxed{\mathbb{QUESTION}}}[/tex]

2d +9= 19

The solution is d =

[tex]{\huge{\boxed{\mathbb{ANSWER\:WITH\:EXPLANATION}}}[/tex]

Hello there, first we can place our equation, which you have stated

[tex]2d+9=19[/tex], this algebra, in algebra we want to find the exact value of the variable, or have the variable on one side of the equation.

First we can subtract [tex]9[/tex] with both sides of the equation giving us the result of [tex]2d=10[/tex], this can also be represented as [tex]2\cdot d=10[/tex], now just divide both sides of the equation by [tex]2[/tex], our answer is [tex]d=5[/tex].

_____________________

[tex]{\huge{\boxed{\mathbb{ANSWER}}}[/tex]

[tex]{\boxed{d=5}}[/tex]

_____________________

Have a good day :) !

A
B
(7y+9)
If
2yº
04
с
What’s m

Answers

Answer:

acute angles A and C are 38°obtuse angles B and D are 142°

Step-by-step explanation:

We assume the figure is a parallelogram, so the sum of the marked angles is 180°.

  2y +(7y +9) = 180

  9y +9 = 180 . . . . . . . simplify

  y +1 = 20 . . . . . . . . . divide by 9

  y = 19

m∠BCD = 2y° = 38°

m∠ABC = (7y+9)° = (7·19 +9)° = 142°

whats b + 29 + 12b + 5b² if b = -3​

Answers

Answer:

215

Step-by-step explanation:

-3+29+12(-3)+5(-3)[tex]^{2}[/tex]

Pleaze help brainlyest

Answers

Okay I will help brainlyest

d ÷ 20 = 0.81
d = ?
what is d?

Answers

Answer: 16.2

Step-by-step explanation:

i used the calculator

Help help help math math

Answers

Answer:

x =  11

Step-by-step explanation:

Lines are parallel.   5x + 10 and 10x + 5 are supplements of each other.

Move  5x+ 10 to the corresponding position on the figure.  It will be next to 10x + 5 and form a linear pair with 10x + 5.  A linear pair form a straight angle or two supplementary angles.  Supplementary angles = 180°

Therefore  5x +10 + 10x + 5 = 180°

                   15x  + 15 = 180°

                      15x = 180 - 15

                         15x = 165

                           x =  11

What is the slope? X 0,1,2,3 y -5,-1,3,7

Answers

[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&-5\\ 1&-1\\ 2&3\\ 3&7\\ \cline{1-2} \end{array} \begin{array}{llll}\\[-0.5em] \leftarrow \textit{let's use this point}\\\\\\ \leftarrow \textit{and this point} \end{array}\qquad \qquad (\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{7})[/tex]

[tex]\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{7}-\stackrel{y1}{(-5)}}}{\underset{run}{\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{7+5}{3}\implies \cfrac{12}{3}\implies 4[/tex]

10. Andy has trumpet practice 4 times every month. Every practice lasts half an hour. What is the total number of minutes that Andy will practice?​

Answers

Answer:

480min a month

Step-by-step explanation:

4×30 =120

120×4=480

A typical tip in a restaurant is​ 15% of the total bill. If the bill is ​$90​, what would the typical tip​ be?

Answers

Answer:

Step-by-step explanation:

Let the tip be x.

You have to take 15% of 90 to get x.

The equation looks like

15/100 * 90 = x         Multiply the numerator of the fraction by 90

1350/100 = x            Divide by 100    

x = 13.50

So the tip is 13.50

There are other ways you could do this problem, but I think this is the most easily understood.

Question:-

A typical tip in a restaurant is 15% of the total bill. If the bill is $90, what would the typical tip be?

Answer:-

$13.50

Explanation:-

Let the tip be x.

→ x = [tex] 90 \times \frac{15}{100} [/tex]

→ x = [tex] \frac{1350}{100} [/tex]

→ x = $13.50

PLEASE write an equation in point-slope form for the line that passes through the point with the given slope. (-2,11) m=4/3

Answers

Answer:

[tex]y-11=\frac{4}{3}(x+2)[/tex] or y - 11 = (4/3)(x+2)

Step-by-step explanation:

Point-slope equation is:  [tex]y-y_1=m(x-x_1)[/tex]

If we replace y1 with 11 and x1 with -2 then this will be our resulting formula:

[tex]y-11=m(x+2)[/tex]

And of course we need to replace m with our slope:

[tex]y-11=\frac{4}{3}(x+2)[/tex]

Jacob put hummingbird feeders in his garden. To make the food for his small feeder, he mixed sugar with warm water. He used the same amount of sugar for his large feeder, but he added more water to completely fill it. Which mixture was sweeter?

Answers

Answer:

Step-by-step explanation:

The smaller feeder is sweeter as it has more sugar molecules per unit of water than the larger feeder.

a. Morning rain showers dropped 1/3 of an inch of rain. Later that day, another storm passed through and dropped 1/8 inch of rain. How much more rain fell in the morning than in the afternoon?

Answers

Answer: 5in

Step-by-step explanation:

1/3x8/8=8/24

1/8x3/3=3/24

8-3=5

Type the correct answer in the box. Use numerals instead of words. Find the missing side length, x. 18° 18° 20 B D The value of the missing side length labeled as x is _____​

Answers

Answer:

7.2

Step-by-step explanation:

20/12 = 12/x

20x = 144

x = 144/20

x = 7.2

Check to make sure your answer is right:

20/12 = 1.66666666667

12/7.2 = 1.66666666667

the ecpanded form of 239.013​

Answers

[tex]239.013 = 2 \times 100 + 3 \times 10 + 9 \times 1 + 0 \times 1 \div 10 + 1 \times 1 \div 100 + 3 \times 1 \div 1000[/tex]

hope it helps :)

Answer:

[tex]239.013=2×100+3×10+9×1+0×1÷10+1×1÷100+3×1÷1000[/tex]

5.4-0.25 I'm so confused

Answers

Answer:

5.15

Step-by-step explanation:

Answer:

5.15

Step-by-step explanation:

5.4 = 5.40

 5.40

- 0.25

= 5.15

because 0.40 - 0.25 = 0.15

(GIVING BRAINLIEST AND EXTRA POINTS) A multiplication expression with a product of 108,064 is shown below. What is the missing digit?



2
3
4
5

Answers

Answer: The missing digit is 2.

Step-by-step explanation:

4,912*22= 108,064

NEED HELP RELATIONSHIP IN TRIANGLES

Answers

Answer:

Step-by-step explanation:

10x-13=17x-41

DO YOUR WORK

Answer: 10x-13=17x-41
here is a picture

HELP!!!
graph and label the following real numbers on the number line:

Answers

Answer:i dont know yet

Step-by-step explanation:

I don’t know bug good luck
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