1. Prove that root15 is irrational
-​

Answers

Answer 1
root15 has no square factors, so i cant be simplified which makes it irrational
Answer 2

Step-by-step explanation:

V15 is rational ( contradiction method). V15=a/b (a and b are not common factor). squaring on both sides, we get, 15= a^2/b^2. 15b^2=a^2 (a=15c) b^2=15/a^2 (assume, a^2 =225c^2) 15b^2=225c^2 b^2=225c^2/15 b^2=15c^2 c^2=15/b^2 c =15/b. 15 divided both a and b which is a contradiction. ie, is irrational.


Related Questions

The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. If the total cost to carpet an office is $810, how many square feet is the office?

Answers

Answer:

11.11 square yard

Step-by-step explanation:

Step one:

given data

charges=$90

installation=$9 per square yard

total cost of installation= $810

let x represents the number of square feet

Step two:

The expression for the installation cost is given as

810=9x+90------------1

solve for x, collect like terms

810-90=9x

720=9x

divide both sides by 9 we have

x=720/9

x=11.11 square yard

Solve the equation below for : y.6x – 3y = 36

A. y = 2x – 12
B. y = 12 - 2x
C.y = 1/2 x + 6
D. y= 6 - 2x

Answers

Hi there! :)

[tex]\large\boxed{A. \text{ } y = 2x - 12}[/tex]

6x - 3y = 36

Solve for y:

begin isolating by subtracting both sides by 6x:

6x - 6x - 3y = 36 - 6x

-3y = 36 - 6x

Divide both sides by -3 to solve for y:

(-3y) / (-3) = (36 - 6x)/ (-3)

y = -12 + 2x

Rearrange:

y = 2x - 12, or choice A.

I NEED HELP ON THIS

Answers

Answer:

L'(-1,1)  M'(1,2)  N(1,-1)

Step-by-step explanation:

Now you just need to plot the 3 points and link them with lines and you will find the new triangle.

Hey luvs I need help with this please help me

Answers

Answer:

area of the big triangle is QS*RT, where we know the QS

so we need to derive the area of big triange

the big triange is sum of the larger triangle (QT*RT) + smaller one (TS*RT)

so RT*(5+2.2)=RT(5)+RT(2.2)

the rest is simple to solve

Step-by-step explanation:

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

The slope of 8 is 0 and the slope of 9 is undefined

A rectangular swimming pool is surrounded by a deck as shown. The area (in square feet) of the pool is represented by x^2-10x+16. a. Write a binomial that represents the width of the pool. b. Find the perimeter of the pool when the width of the deck is 17 feet.

Answers

Answer:

Step-by-step explanation:

First we need to factorize the given area of the rectangle as shown;

Given

A(x) = x^2-10x+16

Factorize

A(x) = x²-8x-2x+16

A(x) = (x²-8x)-(2x+16)

A(x) = x(x-8)-2(x-8)

A(x) = (x-2)(x-8)

Since area of a rectangle = length ×width

Hence the binomial that represents the width of the pool is w(x) = x-2

b) If the width of the deck is 17feet

Width = x-2

17 = x-2

x = 17+2

x = 19feet

Get the length

Length = x-8

Length = 19-8

Length = 11

Get the perimeter

P = 2(L+W)

P = 2(17+11)

P =2(28)

P = 56feet

Perimeter of the deck is 56feet

Is the equation y=2x-2 is proportional or non-proportional?​

Answers

Answer:

i believe their proportional

Step-by-step explanation:

cause they have a linear function

Help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

There you !!!!! I hope this helped

Solve 17 < 5x – 8 < 22. How many integer solutions are there?

Answers

Answer:

0

Step-by-step explanation:

To find the number of integer solutions there are to the inequality, we need to  separate [tex]x[/tex] so it is on its own.

[tex]17<5x-8 < 22[/tex] (given inequality)

[tex]25 < 5x < 30[/tex] (add [tex]8[/tex] )

[tex]5 < x < 6[/tex] (divide by [tex]5[/tex] )

Since there are no integers between [tex]5[/tex] and [tex]6[/tex], it means there are 0 integer solutions for the inequality [tex]17 < 5x - 8 < 22[/tex].

Hope this helps :)

PLEASE HELP I WILL BRAINLIEST, MY GPA RELIES ON THIS!! IM BEGGING HERE


1. The base of the prism is a trapezoid whose bases are 24 cm and 10 cm, and the shorter ones are 13 cm and 15 cm. Calculate the area and volume of the prism if its height is equal to the height of the trapezoid?​

Answers

Step-by-step explanation:

it's so much work, here's the first half untill i do the rest

i added the rest, i hope i helped somehow good luck!! :)

About % of the area under the curve of the standard normal distribution is outside the interval z = [ − 0.12 , 0.12 ] (or beyond 0.12 standard deviations of the mean).

Answers

Answer:

10? I did not learn this yet

Step-by-step explanation:

Please answer this question correctly for me, I'm doing 30 points for all my questions.

Answers

Answer:

B

Step-by-step explanation:

Allen is in a road trip he has travelled 210 miles in 3 hours if he continues to drive at this rate how many hours will it take him to drive 525 miles

Answers

Answer:

15

Step-by-step explanation:

Answer:

7.5 hours

Step-by-step explanation:

210 dived by 3= 70

So, 525 dived by 70= 7.5 hours

Brainliest?

If x = 0 and y < 0, where is the point (x, y) located?

Answers

It’s 0 hope this helps(:

This graph shows a proportional relationship between time (m) and water used
(g). Find the constant of proportionality and use it to write an equation in the
form g=rm, wherer is the constant of proportionality. *
Water Use
50
40
30
Water used (gal)
20
10
o
2 4 6 8 10
Time (min)

Hurry pls and, thank you :)

Answers

Answer:

Use dezmos

Step-by-step explanation:

FACTORIZE
A(X)=(7-2x)(x+5)-(21-6x)(2x-1)​

Answers

A(X)=(7-2x)(x+5)-(21-6x)(2x-1)

A(X)=(7x+35-2x²-10x)-(42x-21-12x²+6x)

A(X)= -2x²-3x+35+12x²+48x-21

A(X)=10x²+45x+14

Linda made $24 for making 8 baskets . If she made 12, baskets, how much money would she make? Use a model to explain your answer. Upload your model below.

Answers

it’s 36 dollars ....

Need help with these types of questions

Answers

Answer:

i think it should be B...

Answer:

I’m brainly tester and this is a testing answer

Step-by-step explanation:

Test test tedt

veronica made 164 brownies. If Veronica sold half of the brownies that she made, how many did she sale?

Answers

Answer:

She sold 82 brownies

Step-by-step explanation:

164 / 2 = 82

82 x 2 = 164

The number of brownies veronica sale is 82 brownies.

We are given that;

Number of brownies made= 164

Now,

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

To find out how many brownies Veronica sold, we need to divide the total number of brownies she made by 2.

This is because half of something means one part out of two equal parts. Using this method, we get:

[tex]$\frac{164}{2} = 82$[/tex]

Therefore, by unitary method the answer will be 82 brownies.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ4

5) Mary drives 33 miles in 3/5 of an hour. After 6 hours of traveling, 1 point

how far will she drive? (Hint: Not just 1 hour, but 6 HOURS!) Don't

forget to include appropriate units with your answer, no

abbreviations please. *

Answers

Answer:

330 miles

Step-by-step explanation:

speed of marry  = distance traveled /time taken

=33/3/5 = 55 miles/hr

therefore distance travelled by marry in 6 hours = 55*6 = 330 miles.

2500 cm are equal to how many meters

Answers

Answer:

25

Step-by-step explanation:

divide the length value by 100.

need help. pls help. i suck at math. math is a no no for me. help me pls.​

Answers

Answer:

A5#A

Step-by-step explanation:

There is a elephant shaped weather vane at the top of a corn dryer tower that is 45 m high. If the weather vane weighs 190 N, wjat is the potential energy that the wether vane has?

Answers

Solution :

Given :

Height of the tower , h = 45 m

Weight of the weather vane, mg = 190 N

So the potential energy possessed by the weather vane is given by

E = m x g x h

where, E is potential energy

           m is mass

           g is acceleration due to gravity (taken as 10 m/s2)

           h is height

Therefore,

E = m x g x h

E = (mg) x h

E = 190 x 45

E = 8550 J

Your host has the following configuration:

IP Address 192.168.44.65

Subnet Mask 255.255.255.224

Which of these addresses are on your same subnet? (Select all that apply)

192.168.44.76

192.168.44.96

192.168.44.56

192.168.44.86

Answers

Answer:

yes

Step-by-step explanation:

yes yes

yesyesyeay yes

Solve for c.

a (b – c) = d


a) c= d - ab/a

b) c= ab – d/b

c) c= ab – d/a

d) c= ab + d/а

Answers

The answer is c) c=ab-d/a

Answer:

C) c=ab-d/a

Step-by-step explanation:

just took the test

10x=6x-24

help!!!! me pleasee!!​

Answers

Answer:

x = -6

Step-by-step explanation:

10x = 6x - 24

Subtract 6x from both sides.

4x = -24

Divide both sides by 4.

x = -6

A company charges an initial fee plus an hourly rate to rent scooters. This table
shows the total cost to rent a scooter for different amounts of time.
Hours
Total Cost
3=$25
5=$35
7=$45
What is the hourly rate (in dollars) that the company charges to rent a scooter?

Answers

Answer:10

Step-by-step explanation: it adds 10 every 2 hours

The hourly rate is $5 per hour that the company charges to rent a scooter.

What is rate?

Rate is a measurement to determine the change in one quantity with respect to another quantity.

Given that,

Company charges initial fees, and hourly rate to rent scooter,

Also given,

Cost of scooter for 3 hours = $25,

Cost of scooter for 5 hours = $35,

And cost of scooter for 7 hours = $45

From the given information,

The cost of scooter for 2 hours = $10

Cost of scooter for 1 hour  = $5

Hourly rate of scooter that company charges to rent a scooter is $5.

To know more about Rate on:

https://brainly.com/question/16150007

#SPJ2

Find the angle, in radians, in the figure below if S = 8 and r = 6.

(view image)

precalc help

Answers

Answer:

Value of theta Ф = 1.33 radians

Step-by-step explanation:

We are given :

S= 8

r = 6

We need to find angle Ф

The formula used is: S=rФ

Finding theta Ф by putting values in formula:

[tex]S=r\theta\\\theta=\frac{S}{r}\\ \theta=\frac{8}{6}\\\theta=1.33[/tex]

So, value of theta Ф = 1.33 radians

To raise money for the music program, your choir sells programs for $.50 and CDs of its music for $5. It costs $.15 to produce each program and $1.75 for each CD. Everything sells for $400 yielding a profit of $265. How many CDs were made?

Answers

Answer:

60 CDs

Step-by-step explanation:

Given that :

Price of program = $0.5

Price of music = $5

Cost of production :

Program = $0.15 per program

CD = $1.75 per CD

Revenue made= $400

Profit made = $265

Number of CD produced =?

Let Number of CD's = x and program = y

$(0.5y + 5x) = 400

Y = (400 - 5x) / 0.5

y = 800 - 10x

Production :

$(1.75x + 0.15y)

Total cost of production - Revenue made = profit

(1.75x + 0.15y) - (5x + 0.5y) = 265

1.75x + 0.15y - 5x - 0.5y = 265

1.75x - 5x 0.15y - 0.15y = 265

3.25x + 0.35y = 265 - - - (2)

Put y = 800 - 10x in (2)

3.25x + 0.35y = 265

3.25x + 0.35(800 - 10x) = 265

3.25x + 280 - 3.5x = 265

-0.25x = - 15

x = 15/ 0.25

x = 60

help me find y........​

Answers

Answer:

Step-by-step explanation:

a)

the sum of all angles in a quadrilateral must be 360º

y+88+25+35 = 360

y = 360=88-25-35

y = 212º

b)

the sum of all angles in an octagon must be 1080º

45+45+140+140+6y = 1080

6y = 1080-90-280

6y = 710

y = 710/6

y=~ 118,3º

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