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

Simplify the product.
(16+13)(12-2)

Answers

Answer:

290

Step-by-step explanation:

(16+13)(12-2)= 29 * 10 = 290

Answer:

290

Step-by-step explanation:

(16+13)(12-2)

29*10

290

2x2 is what its due in 1 minute

Answers

Answer: 4

Step-by-step explanation: You multiplied 2 and 2 which equals to 4

Answer:

9

Step-by-step explanation:

9 9 9 9 9 9 9 9 9  9 9 9 9 9  9 9 9 9 9 9  9 9 9 9 9  9 9 9 9 9 9 9  9 9 9 9 9

A rectangular plot,72 metre long and 20 metre wide on a school farm,is divided into 18 equal plots, what is the area of each plot?​

Answers

It is 80 meter square

Answer:

80 square metres

Step-by-step explanation:

A = L× w

= 72×20

= 1440

answer ÷ 18 = 80

How to find the area of a missing square

Answers

Check the picture below.

btw, when Pythagoras said the square of this equals that and so on, he really meant the square or square area.

Given that y = 11 cm and θ = 34°, work out x rounded to 1 DP.

Answers

Check the picture below.

How do I figure this out

Answers

Answer:

D

Step-by-step explanation:

yeah-ya....................... right?

Answer:

D

Step-by-step explanation:

hope it help correct me if wrong

Select all the correct answers.
Which equations have a greater unit rate than the rate represented in the table.

Answers

We need slope/rate of the table

(3,2)(6,4)

[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{4-2}{6-3}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{2}{3}[/tex]

Slopes of all options

5/7=25/213/5=9/151/37/9 7/11=21/33

Option D is correct

Option

Use the distributive property to simplify this expression -2x(3x + x-5)

Answers

Answer:

− 8 x ^2  +  10 x

Step-by-step explanation:

-6x-2x+10x
8x+10x
18x.

Determine the y-intercept of the following equation.
(-2 - 1)(2+3) = y

Answers

Answer:

(0,-15)

Step-by-step explanation:

i think.. trust someone else!! I'm not 100% sure...

an object is dropped from a height of 25 meters at what velocity will it hot the ground​

Answers

Given data

height (h) = 25 m ,

velocity (v) = ?

we know that,

                    v²-u² = 2as

                     initial velocity (u) = 0,

                                               a = g = 9.8 m/s ,

                 Now the equation becomes,

                                    v² = 2 × g × h

                                        = 2 × 9.8 × 25

                                    v² = 490.5

                                    v = √490.5

                                   v = 22.1 m/s

Therefore answer is C , i.e., 22 m/s

A number x is no less than 18

Answers

Answer:

x>18

Step-by-step explanation:

That's the answer if x can't be 18.

Answer:

x ≥ 18

Step-by-step explanation:

I'm not really sure how to explain how it's correct but, the given statement can also be written as " a number, x,  can be equal or more than 18

Evaluate each expression

Answers

Answer:

4 * 4 ÷ 4 = 4

8 ÷ (2*2) = 2

Step-by-step explanation:

[tex]4 * 4 \div4\\\rule{150}{0.5}\\\text{Use PEMDAS}\\\\4 * 4 \div4\\\\4 * 1\\\\\boxed{4}[/tex]

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

[tex]8 \div (2*2)\\\rule{150}{0.5}\\\text{Use PEMDAS}\\\\8 \div (2*2)\\\\8 \div 4\\\\\boxed{2}[/tex]

I hope this helps.

10+8x > 2 Solve each inequality

Answers

Answer:

x>-1

Step-by-step explanation:

8x>2-10

8x>-8

x>-1

Answer:

x>-1

interval notation: (-1,infinty)

Expand and simplify

(7-3x) (6x + 1)

Answers

Answer:

-18x^2+39x+7

Step-by-step explanation:

7-3x + 6x + 1
7 + 1 + 3x
8 + 3x
Or 3x + 8
I hope this helps.

Francine recorded today's high
temperature as 78.6°F. Today's low
temperature was 4.7°F less than
that. How much cooler was today's
low temperature than yesterdays low
temperature, which was 77.4°F?

Answers

Answer:

3.5

Step-by-step explanation:

the problem says 4.7 less than which refers to subtraction so we can plug our numbers into a subtraction problem like so

78.6-4.7 which equals 73.9

the second part of the problem asks the difference between yesterday's low and today's.

we can take the two lows and subtraction them to find this answer.

77.4-73.9 which equals 3.5

so today's low was 3.5 degrees cooler than yesturdays

-) Which is a valid velocity reading for an object? O 45 m/s O 45 m/s north 23 O O m/s south O 0 m/s ok Save and Exit Next Mark this and return​

Answers

Answer:

Step-by-step explanation:

0 can't have a direction. It does not move. It has no speed component. Therefore 0 m/s south is not the answer.

45 m/s has no direction stated. It is just a speed, not a velocity.

45 m/s north is a velocity. It has both speed and direction.

which car can travel furthur on one gallon of gas/ green car 18.4 miles on 0.8 gallons or black car 17.4 miles on 0.75 gallons

Answers

Answer:

The black car

Step-by-step explanation:

First, we need to fin the mile to gallon ratio.

To get this we would divide the number of miles by the gallon for each car

Green Car:

18.4/0.8

23 miles per gallon

Black car:

17.4/0.75

23.2 miles per gallon

In conclusion, The black car would travel further on one gallon of gas than the green car would.

Hope this helps!!

Please tell me if I have messed up!!

I enjoy learning from my mistakes:)

CAN YOU PLS HELP MEEEE

Answers

Answer:

10x - 2y

Step-by-step explanation:

simplify the expression.

8x2y + x + x

combine numbers that have the same variables

8x + x + x

*those x have 1 coefficient each.

it will be 8x+1x+1x = 10x then 2y

10x2y.

Hope it helps :)

HELP PLEASE
To divide the function f(x) by (x2-4x-12), we find that the quotient is Q(x) and the
remainder is (x+6). If f(-2)=a and f(6)=b, what is the value of b/a?

Answers

Answer:

b/a = 3

Step-by-step explanation:

f(x) / (x²-4x-12) = Q(x) + (x+6)/(x²-4x-12)

f(x) = Q(x)*(x²-4x-12) + (x+6)

x= - 2   ... when f(x) is f(-2)        x²-4x-12 = 4+8-12 = 0

a = f(-2) = Q(x)*0 + (-2 + 6) = 4

x= 6   ... when f(x) is f(6)        x²-4x-12 = 36-24-12 = 0

b = f(6) = Q(x)*0 + (6 + 6) = 12

b/a = 12/4 = 3

Help help help help math math math

Answers

Answer:

55º

Step-by-step explanation:

The 125º angle makes a straight angle (180º) with the one next to it. This makes the angle next to it (adjacent angle) 55º. According to the rules of a transversal, the adjacent angle said above and angle 2 are alternate interior angles, making them equal.

3+3=6! Easy for kids to learn!

Answers

Answer:

indeed

Step-by-step explanation:

3+3=6

Evaluate.
10 3/4 plus 8 3/4 subtract 6 1/2

Answers

Answer:

13

Step-by-step explanation:

add 3/4 and 3/4 to get 6/4 then get 1/2 times the bottom and the top but 2 to get 2/4 so then do 6/4 - 2/4 to get 4/4 or 1

add 10,8 to get 18 then subtract 6 to get 12 then all the 1 and you get your answer. Hope this helped

Answer:

13

Step-by-step explanation:

Convert 10 3/4

to an improper fraction.

43/4 + 8 3/4 − 6 1/2

Convert 8 3/4

to an improper fraction.

43/4 + 35/4 − 6 1/2

Convert 6 1/2

to an improper fraction.

434 + 354 − 132

Combine fractions.

78/4 + −13/2

Simplify each term.

39/2 − 13/2

Combine fractions.

13

Brainliest for right answer.

Answers

Answer:

441 millimeters of compound B

Step-by-step explanation:

4 + 7 = 11

693/11 = 63

7 · 63 = 441

HELP I'LL GIVE BRAINLY​

Answers

Answer:

code is 4163

Step-by-step explanation:

x-35=27;x=64

-96=-8x;x=12

6=x/4 +2;x=16

76-3x=-29; x=31

code is 4163

Answer:

at least 8

Step-by-step explanation:

im from k12

Complete the process of solving the equation.
Fill in the missing term on each line. Simplify any fractions.
9W + 1 = 19
9w =
Subtract 1 from both sides
W =
Divide both sides by 9

Answers

Answer:

see explanation

Step-by-step explanation:

9W + 1 = 19 ( subtract 1 from both sides )

9W = 18 ( divide both sides by 9 )

W = 2

In the multiplication sentence below, which number is the product?
9x 10 = 90
A. 9
B. 10
C. 90
SUBMIT

Answers

Answer:

  C.  90

Step-by-step explanation:

The numbers being multiplied are "factors." The result of multiplication is a "product." In this problem, the product is 90.

HELP PLEASE 20 POINTS

Answers

Answer:

a b and j?

Step-by-step explanation:

In this triangle, cosA/cosB=

Answers

Answer:

1

Step-by-step explanation:

In sohcahtoa:

Cos (c) = adjacent (a) / hypotenuse (h)

cosA = adjacent / hypotenuse. The hypotenuse is 4.24 (the side opposite the right angle) and the side next to A is 3, so cosA = 3/4.24

cosB = adjacent/hypotenuse. The side next to B is 3, so cosB = 3/4.24 as well

Therefore, cosA = cosB

cosA/cosB = cosA/cosA = 1

Sal bought x shares of a stock that sold for 31.50 per share. He paid a 1% commission on the sale. The total cost of his investment, including the broker fee, was $5,726.70. How many shares did he purchase.

Answers

Answer:

180

Step-by-step explanation:

add 1% to 31.50 to get 31.815

then take the total 5276.70 and divide by 31.815

Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that
Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid's weight, Pythagoras's
weight would still be á pound less than he did in January. What is Euclid's weight?
4
(a) Write an equation that represents the scenario. Begin by defining your variable.
(b) Solve the equation. Show your work.
(c) What is Euclid's weight?
(d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined
weight of the three dogs is 603 pounds. What is Riemann's weight, and what is Pythagoras's
2
weight? Show your work.

Answers

We want to answer different things about the weight of the dogs, with simple algebra we will find that the answers are:

a) P - 13lb + 1.2*E = P - 1lbb) E =  10lbc) Euclid's weight is 10 pounds.d) Pythagora's weight is 33 pounds and Riemann's weight is 20 pounds.

We start by defining the two variables we will be using:

E = Euclid's weightP = Pythagoras's weight

First, Pythagoras loses 13 lb, then his new weight is:

P' = P - 13lb

We know that if he wins 1.2 Euclid's weight, he will still have a pound less than before.

A) using the above information we can rewrite:

P - 13lb + 1.2*E = P - 1lb

This is the equation we need to solve.

b) So we want to solve this for E, then we move all the other terms to the right side:

1.2E = P - 1lb - P + 13lb

1.2E = 12lb

E = (12lb)/1.2 = 10lb

c) The solution of the above equation tells us that the weight of the dog is 10lb.

d) Let's define R as the weight of the third dog.

We know that:

R = 2*E = 2*10lb = 20lb

We also know that the combined weight of the 3 dogs is 63 lb, then we have:

E + R + P = 63lb

10lb + 20lb + P = 63lb

P = 63lb - 10lb -20lb = 33lb

If you want to learn more about algebra, you can read:

https://brainly.com/question/20607627

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