How to get rid of a square root in the denominator?.

Answers

Answer 1

Step-by-step explanation:

you multiply both the top and bottom by the root if it was alone.

let's say if we had (1 - sqrt(2)) in the denominator. here we multiply both the numerator and the denominator by the conjugate.

the conjugate is formed by changing the sign between two terms in a binomial. so in this case the conjugate is

(sqrt(2) -1)

make sure to ask if you need any further guidance :)


Related Questions

After a dilation with center (0,0) the image of DB is D’B’ if DB=6 and D’B’=2 the scale factor of dilation is what ?

Answers

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

the scale factor is the ratio of corrresponding sides. image to original.

scale factor = [tex]\frac{D'B'}{DB}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

pleaseee help meeeeeeee​

Answers

90° = x + 2x + (x+10)
80° = 4x
20° = x

Find the value of
46
83

Answers

An outside angle equals the sum of the two opposite inside angles.


x = 83 + 46 = 129

Slow and steady wins the race. The leatherback sea turtle is the fastest known reptile, with a maximum
speed of 21.92 miles per hour (mph).
Which of the following equations, where d is distance in miles and t is time in hours, represents a speed
that is less than that of the leatherback sea turtle?
Choose all answers that apply:


PLEASE HELP!!

Answers

Answer:

A and B

Step-by-step explanation:

See explanation below

How to multiply 70.94 by 3.2 and get 227.008

Answers

Answer:

solution

Step-by-step explanation:

so the solution is this first multiply the numbers with out the decimal point and then count and add the decimal point.

5 0

·
5 –3

= how do i do this

Answers

50x-15? i don’t understand

35. Mathematical Connections A streamer is
launched 3 s after a fuse is lit and lands 8 s
after it is lit.
у
100
80
60
Height (ft)
40
20
0
0
X
8 10
2 4 6
Time (s)
a. What is a quadratic equation in factored
form that models the situation?

Answers

Launching the fuse is an illustration of a quadratic model, and the equation of the quadratic model is f(x) = 15(x - 3)(x - 8)

How to model the quadratic equation?

From the complete question, the zeros of the quadratic function are:

x = 3 and x = 8

Rewrite as:

x - 3 = 0 and x - 8 = 0

So, the quadratic equation is:

f(x) = a(x - 3)(x - 8)

Also from the graph, we have the following point

(x,y) = (4,60)

Substitute 4 for x and 60 for f(x) in the function

a(4 - 3)(4 - 8) = 60

Evaluate the difference

a(1)(-4) = 60

Evaluate the product

-4a = 60

Divide both sides by 4

a = -15

Substitute a = -15 in f(x) = a(x - 3)(x - 8)

f(x) = -15(x - 3)(x - 8)

Hence, the equation of the quadratic model is f(x) = 15(x - 3)(x - 8)

Read more about quadratic models at:

https://brainly.com/question/8649555

Michelle is interested in knowing how often girls in her class at school use their cell phones to instant message their friends.
Which of the following methods could Michelle use to conduct a simple random sample to answer her question?

A. Give the survey to the first fifty girls on a list of all the students in her class.
B. Post her survey on the Internet and ask only girls to respond.
C. Write the name of each girl in her class on a card and then draw 10 cards from a hat.
D. Identify which homeroom each girl in her class is in and then choosing a sample from each homeroom based on the number of girls in the homeroom.

Answers

The answer is D- identify which homeroom each girl in her class is in and then choosing a sample from each homeroom based on the number of girls in the homeroom

Answer:

it is NOT d

Step-by-step explanation:

I did it and got it wrong

NOT D

Round your answers to one decimal place, if necessary.
Find the mean and median of these data: 2,7, 13, 15, 19, 21.
The mean is
The median is

Answers

Answer:

the mean is 12.83333333333 ans so many more 3's

the median is 14 because the two middle numbers are 13+15=28 and divided by 2 is 14

Step-by-step explanation:

if it is right, please can i have the brainliest

What is the area of this trapezoid?

168 ft
221 ft
248 ft
261 ft

Answers

Answer:

248

Step-by-step explanation:

18-13 =5

16*5=80/2 because it is a triangle = 40

40+16*13=

40+208+

248

Answer:

248

Step-by-step explanation:

k12 :)

Easy answer!! Simplify

Answers

Answer:

\frac{5}{6}\quad \left(\mathrm{Decimal :0.83333

Step-by-step explanation:

[tex]\bold{Heya!}[/tex]

[tex]\sf{\sqrt\frac{23}{36}[/tex]

[tex]\sf{Apply \: radical \: rule:} \: \sqrt{\frac{a}{b}[/tex] [tex]\sf{= \sqrt{\frac{\sqrt{a}}{b}[/tex]   [tex]\sf{a \geq 0, b \leq 0[/tex]  

[tex]\sf{\sqrt{\frac{23}{\sqrt{36}}[/tex]

[tex]\sf{\sqrt{36} = 6}[/tex]

[tex]\sf{= {\frac{\sqrt{23}}{6}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

40π m² and 125.6 m²

Step-by-step explanation:

the area (A)  of the sidewalk is calculated as

A = outer area - inner area

(a)

A   = πr₁² - πr₂² ( r₁ is radius of outer circle and r₂ the radius of inner circle )

A  = π × 11² - π × 9²

  = 121π - 81π

 = 40π m²

(b)

A = 40 × 3.14 = 125.6 m²

In a class of 90 students, the ratio of boys and girls is 4:5 Find the number of boys and girls​

Answers

Step-by-step explanation:

Number of students in class = 90

ratio of boys and girls = 4:5

sum of ratios = 9

Number of boys = 4/9 × 90

= 360/9

= 40

Number of girls = 5/9 × 90

= 450/9

= 50

Hope it helpz~

Which of the following is a geometric series? 40 50 60 70 40 42 44 46 40 80 40 120 40 20 10 5

Answers

The given series  40 + 20 + 10 + 5 is a geometric series.

What is the geometric series?

The geometric series the ratio of consecutive terms is equal and the ratio is called the common ratio of the geometric series.

Let us find the ratio of consecutive terms of each of the given series.

For the series 40 + 50 + 60 + 70

50/40 = 5/4

60/50 = 6/5

Since, 5/4 ≠ 6/5 hence, it is not a geometric series.

For the series 40 + 42 + 44 + 46

42/40 = 21/10

44/42 = 22/21

Since, 21/10 ≠ 22/21 hence, it is not a geometric series.

For the series 40 + 80 + 40 + 120

80/40 = 2

40/80 = 1/2

Since, 2 ≠ 1/2 hence, it is not a geometric series.

For the series 40 + 20 + 10 + 5

20/40 = 1/2

10/20 = 1/2

Since, 1/2 = 1/2 hence, it is a geometric series.

Therefore, D is the correct option.

To learn more about the geometric series visit:

https://brainly.com/question/24643676

what is the difference between the greatest and least amounts of rain falls? Iready

Answers

Answer:

[tex]1\frac{7}{8}inches[/tex]

Step-by-step explanation:

From the image we know that the greatest amount of rainfall is 2 inches, and the least is 1/8. If we subtract these two, we'll find the difference

[tex]2-\frac{1}{8} =\frac{16-1}{8} =\frac{15}{8} =1\frac{7}{8}[/tex]

Therefore, the difference between the greatest and least amount of rainfall is [tex]1\frac{7}{8}inches[/tex]

Remember that the greatest amount of rainfall is represented by the greatest number, and the least amount of rainfall is represented by the least number.

Rotate the following figure 90 degrees clockwise about the origin (0,0)

Answers

Step-by-step explanation:

The rule for a 90-degree clockwise rotation about the origin (0,0) is:

(x,y) -----> (y,-x)

Simply apply this and you'll get your answer.

Hope this helps :)

13 - (19,500 - (672 x 29)] = ​

Answers

Answer:

1

Step-by-step explanation:

im know it ive dine the problem 10 times

work out 9 over 13 of 182 (9 over 13 is supposed to be a fraction)

Answers

Answer:

126

Step-by-step explanation:

In math, "of" usually means multiplication.

9/13 of 182 means 9/13 × 182.

9/13 × 182 = 9/13 × 182/1 = (9 × 182)/(13 × 1) = 1638/13 = 126

Answer: 126

Answer:

126

Step-by-step explanation:

To find 9/13 of 182, we would divide 182 by 13 and multiply the quotient by 9.

182 ÷ 13 = 14

14 • 9 = 126

To double-check our answer, we can divide 126 by 182 and see if the fraction is congruent to 9/13.

126 ÷ 182 = 0.6923

9 ÷ 13 = 0.6923

I hope this helps.

When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown? 2 7c – 4c2 – 3c 4 –4c2 4c 6 –7c2 10c 6 –4c2 4c 8 –7c2 7c 6

Answers

The simplified and standard form of the considered polynomial is -4c^2 -4c + 6

What is standard form of a polynomial?

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.


The given polynomial is:

[tex]2 + 7c - 4c^2 - 3c + 4[/tex]

Simplifying it gives:

[tex]2 + 7c - 4c^2 - 3c + 4 = 2+4 + (7-3)c - 4c^2 = 6 -4c -4c^2[/tex]

Writing it in the order of increasing to decreasing powers:

[tex]6 -4c -4c^2 = -4c^2 -4c + 6[/tex]

Thus, the simplified and standard form of the considered polynomial is [tex]-4c^2 -4c + 6[/tex]

Learn more about standard form of a polynomial here:

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. Shanovia drew a card from a standard deck of 52 playing cards. What is the probability Shanovia drew 1 of
the 4 aces?

Answers

Answer:

not answered this question

4. What is the height of a triangular sail whose base is 4 meters and area is 20 square meters? ​

Answers

Answer:

pa branliest

Step-by-step explanation:

The height of a triangle is 4 inches more than twice the length of the base

Simplify the expression.

Answers

Answer:

1/81

Step-by-step explanation:

9 to the power of 7 is 4782969

and 9 to the power of 9 it 387420489

and when u divide it u get 1/81 I beleve

Answer:

1/81 or 0.01 that is rounded to the nearest hundredth

Step-by-step explanation:

Your welcome

Which of the following is equal to the expression listed below?

14 + 21

A.7 + (2 × 3)
B. (7 × 2)(7 × 3)
C. 7(2 + 3)
D. (7 + 2)(7 + 3)

Answers

Answer: C

Step-by-step explanation: The answer is C because unbending suing distributive property, the equation becomes (7 x 2) + (7 x 3). Solving for these parentheses, the equation becomes 14 + 21. I hope this helps!

If the dimensions of a rectangular prism are 3 cm , 4 cm, and 10 cm, then it’s surface area is

Answers

Answer:

As Per Provided Information

Dimensions of rectangle prism are 3 cm , 4 cm and 10 cm .

We have been asked to determine it's surface area.

[tex] \underline{\boxed{\bf \: Surface \: Area_{(Rectangular \: Prism)} = 2(lw + hl + hw}}[/tex]

where,

w denote width

h denote height

l denote length

[tex] \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \: 2(3 \times 4 + 4 \times 10 + 10 \times 3) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(12 + 40 + 30) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(82) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:164 \: {cm}^{2} [/tex]

Therefore,

Surface area of rectangular prism is 164 cm².

Answer:

Surface area of rectangular prism is 164cm²

Step-by-step explanation:

Given :-

Dimensions of rectangular prism is 3cm , 4cm, and 10cm

To find:-

Surface area of rectangular prism

Solution:-

Surface area of rectangular prism :-

2(lb + bh + hl)

putting the known values ,

Surface Area = 2(3×4+4×10+10×3) cm²

Surface area = 2(12+40+30) cm³

Surface area = 164cm²

Please help!!! I dont understand this

Answers

Answer:

x=120

Step-by-step explanation:

so if you look at a angle ruler you will see it's 120 so now if you look one up and put it to 120 it would match i wouldn't know how accurate it is but from what i know its 120

Answer 1 and 2 and I'll mark you brainliest

Answers

1.
Is 300 because 4x75 you get how many bottles of water.

2.
4.47 if you subtract.

(Easy) b. When will function h exceed both function f and function​ g?

Answers

Answer:

Is their like any opions? or no

Step-by-step explanation:

Solve for X. Please help me!

Answers

Answer:

145°

Step-by-step explanation:

based on how the lines are set up, you could either subtract 35 from 180, or just get the 145 from the angle below.

Complete the statement using <, >, or =.

36% of 150 ____ 27% of 200

Answers

Answer: =

Step-by-step explanation: 54 =54


3/100 ×150=54


2/100 ×200=54

the point ( 8 , 5 ) lies on a line with a slope of 1/4 write the equation of the line

Answers

Answer:

[tex]y=\frac{1}{4} x+3[/tex]

Step-by-step explanation:

[tex]y-5=\frac{1}{4} (x-8)[/tex]

[tex]y=\frac{1}{4} x-2+5[/tex]

[tex]y=\frac{1}{4} x+3[/tex]

Hope this helps

Answer:

y = [tex]\frac{1}{4}[/tex] x + 3

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 )

here m = [tex]\frac{1}{4}[/tex] , then

y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

to find c substitute (8, 5 ) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = [tex]\frac{1}{4}[/tex] x + 3 ← equation of line

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