Show
that
[tex] \sqrt{5} [/tex]
is irrational​

Answers

Answer 1
Suppose that √5 = ab where ab is in reduced form. Thus 5 = a2b2 and 5b2 = a2. ... Since there is no integer that is both even and odd, we have reached a contradiction and √5 is irrational.

Related Questions

need help what is the equation of the purple line​

Answers

Answer:

y=-2/5x +8

Step-by-step explanation:

use y=mx+b      look at where the line intercepts with the y-axis and that is at 8 so that is your b. Then find two points and count how many down or up it is to get from the higher up point (i usually use the one that intercepts at the y-axis) to same line as the other point, in this case thats down two. Then count how many to the right it is and in this case it is 5. so since it went down thats -2 over 5 so then you just fill that into the y=mx+b   and you should get   y=-2/5x+8

Hope this helped!

ps. if this was right can you make it brainliest? thanks!

12
Type the correct answer in each box.
Winston used his past health history and Information about his doctor visits to create this table to compare health costs with and without
insurance
Cost without Insurance
Description of Service
Probability of Needing
the Service
Cost with Insurance
Plan
Plan
100%
$1,580
$0
annual premium
45%
$125
$1,750
five doctor visits
7596
$75
medication
$325
What is the expected value of each option?
The expected value of health care without insurance is $
The expected value of health care with Insurance is $

Answers

Answer:

W/O insurance: 235.50

with insurance: 1597.94

Step-by-step explanation:

Help me plz will give BRIANLY

Answers

line A fits the data graph

10. Logan places a mirror on the floor 220 cm from the base of a wall. He holds a flashlight 130 cm above the ground and shines the beam onto the mirror. How far must Logan stand back from the mirror so that the height at which the light shines on the wall is 100 cm greater than the height at which Logan holds the flashlight?

Answers

Answer:

124.35 cm

Step-by-step explanation:

Step by step solution in the attachment

In ΔQRS, s = 860 inches, q = 240 inches and ∠R=144°. Find the length of r, to the nearest inch.

Answers

Answer:

1064

Step-by-step explanation:

Answer: 1064

Step-by-step explanation:

Line segment BD divides trapezoid ABCE into a rectangle and a right
triangle as shown. What is the perimeter of the trapezoid?

Answers

Answer:  96 units

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

Explanation:

Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.

Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x

a^2 + b^2 = c^2

(BD)^2 + (CD)^2 = (BC)^2

24^2 + x^2 = 25^2

576 + x^2 = 625

x^2 = 625 - 576

x^2 = 49

x = sqrt(49)

x = 7

Segment CD is 7 units long.

Since ED = 20, this means,

EC = ED + DC

EC = 20 + 7

EC = 27

The perimeter of this trapezoid is

P = sum of all exterior sides

P = AB+BC+CE+EA

P = 20+25+27+24

P = 96 units

Note that we didn't add in side BD as part of the perimeter because it is not an exterior side. Think of sides AB, BC, CE, and AE as outer walls of the house while BD is an interior wall. The perimeter is only worried about the outer walls.

96

Explanation:

Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.

Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x

576 + x^2 = 625

x^2 = 625 - 576

x^2 = 49

x = sqrt(49)

x = 7

Segment CD is 7 units long.

Since ED = 20, this means,

EC = ED + DC

EC = 20 + 7

EC = 27

The perimeter of this trapezoid is

P = sum of all exterior sides

P = AB+BC+CE+EA

P = 20+25+27+24

P = 96 units

help me pleaseee asappp solving systems of equations

Answers

Answer:

6.50

Step-by-step explanation:

y = x^2+ 2x + 3
2y - 2x = 10


(Solving the following system of equations)

Answers

Answer:

It would be (1,6), (-2,3)

x=1, y=6

x=-2, y=3

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

solve the equation multiple choice

Answers

Answer:

x= {-29}

Step-by-step explanation:

.....................................

help the pictures underneath

Answers

Answer:

Step-by-step explanation:

I believe the correct answer is A, but im not sure. Hope it helps! <3

Answer:

a

Step-by-step explanation:

it takes a long time for a river to carve a path through rock. for example it took the grand canyon 5-6 million years to form by way of river erosion

Fernando had to pay $1.40 in sales tax when he purchased a shirt . If the sales tax rate is 7% how much did his shirt cost

Answers

Answer:

$20

Step-by-step explanation:

Work backwards so Price(.07) = $1.40 so x (.07) = 1.40, solving for x then

x = 1.4/.07 so x = 20

The cost of the shirt of Fernando is $20.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Fernando had to pay $1.40 in sales tax when he purchased a shirt . The sales tax rate is 7%.

The cost of the shirt is calculated as,

$1.40 =  x (.07)

x = 1.4/.07

x = $20

Therefore, the cost of the shirt of Fernando is $20.

To know more about an expression follow

https://brainly.com/question/25748136

#SPJ5

Select the statement(s) that accurately describes the nature of an angle in standard position. (Select all that apply.) A)Two or more positive angles can not share the same terminal side. B)An obtuse angle is any angle whose terminal side is not in quadrant 1. C)An acute angle can have its terminal side in quadrant 4. D)Its vertex is at the origin. E)The terminal side of a negative-measured angle is generated in the clock-wise direction from the x-axis.

Answers

Answer:

Step-by-step explanation:

D) Its vertex is at the origin

E) The terminal side of a negative-measured angle is generated in the clock-wise direction from the x-axis.

The amount of rotation between the two rays forming the angle is known as the measure of the angle

The correct options are;

The options that gives the statements that accurately describes the nature of an angle in the standard position are;

D) Its vertex is at the origin.

E) The terminal side of a negative measured angle is generated in the clock-wise direction from the x-axis

Reason:

An angle is in the standard position where the location of the angle is at the origin, the positive direction is the counterclockwise, while the negative direction is the clockwise direction

The x-axis oriented ray is known as the initial side, while the other ray forming the angle is known as the terminal side

Therefore, the correct options are;

D. Its vertex is at the origin.

E. The terminal side of a negative measured angle is generated in the clock-wise direction from the x-axis

Learn more here:

https://brainly.com/question/15342488

PLEASE HELP!!!!!

Solve the equation. Then check your solution.


Answers

The answer would’ve been A

Pleaseee helpp answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

So you have to add all the numbers to get the perimeter or the outside distance but it looks like t and s is there a few times so that’s were you have to simplify.
So here’s the answer simplified
4t+2s+w+v+x+u
Good luck!

What is the value of y?

Answers

Corresponding Angles Theorem:
2y = 58
Divide both side by 2
y = 29 degrees

If gdp is $20 trillion how many years will it take for a gdp to increase to 80$ trillion if growth is 7 percent

Answers

Answer:

19. 8 years

Step-by-step explanation:

Using the exponential growth function :

A = Pe^rt

A = final amount or growth unit

P = initial or present growth unit

Rate, r = growth rate

80 = 20e^0.07t

80/20 = e^0.07t

4 = e^0.07t

Take In of both sides

In(4) = 0.07t

1.3862943 = 0.07t

t = 19.804205

t = 19. 8 years

Juanita has an aquarium that is 5 feet long, 4 feet wide, and 2 feet deep. What is the volume of the aquarium? Enter your answer in the box.

Answers

Answer:

40 cubic feet

Step-by-step explanation:

Aquarium is in the shape of rectangular prism.

Volume = length * width * depth

Volume of the aquarium = 5 * 4 * 2

                                         = 40 cubic feet

- A card is selected at random from a
standard pack of playing cards and then
replaced. This is done 1,040 times.
How many times would you expect to get
the following cards:
(a) A red card?
(b) A King?
(C) The Queen of hearts?​

Answers

Step-by-step explanation:

a ). red cards = 26

then probability is = no. of outcomes / total no. of outcome

p ( red card ) = 26 / 1040

p ( red card ) = 1 / 40

b ) kings = 4

p ( kings ) = 4 / 1040

p ( kings ) = 1 / 260

c ) queen of hearts = 1

p ( queen of heart ) = 1 / 1040

Pa tulong po pleasee

Answers

Answer:

1. 7

2. 54÷2=27

only this I know please put brainlest

Answer:

1.x+5=12

2.2x=54

Can someone help me with this

Answers

Answer:

use distance formula

Step-by-step explanation:

enter each set of points into distance formula, find distance then sum all sides

URGENT PLEASE! Choose the function who graph is given by:

Answers

Answer:

D.

Step-by-step explanation:

this is the graph of tan x translated pi units to the  right and translated 2 units up.

Part A: find the measure of x and y


Part B: choose the correct degree measure for arc JKL

Answers

Answer:

x = 7

y = 4

Arc JKL = 262°

Step-by-step explanation:

Find the diagram attached

Using the theorem;

Sum of opposite angle of the quadrilateral is 180°

7x+131 = 180

7x = 180-131

7x = 49°

x = 49/7

x = 7

Similarly;

11x+y+99 = 180°

11(7)+y+99 = 180°

77+99+y = 180

176+y = 180

y = 180-176

y = 4

arc JKL is the obtuse angle at the centre

Arc JKL = 360-(angle at the centre)

Angle at the centre is twice angle at the circumference.

Angle at the centre = 2(7x)

Angle at the centre = 2(49)

Angle at the centre = 98°

Arc JKL = 360-98

Arc JKL = 262°

(PLEASE ANSWER ASAP FOR BRAINILEST! EXPLAIN YOUR REASONING PLEASE) I bought 1 pound of grapes for $3.75. I bought 4 pounds of strawberries for $15.63. Which is least expensive per pound? Explain your reasoning.

Answers

Answer:

Step-by-step explanation:

All you have to do is divide 15.63 by 4. That way you will find out how much it costs for 1 pound of strawberries.

15.63 divided by 4 = 3.9075 ( I would round it but you don't have to.

Now look at the first 3 number for both prices

Grapes: $3.75

Strawberries: $3.90

Now you see which is less expensive ( grapes ). Now finish with a statement!

Hopefully that helps any more questions lmk!

May someone please help me out? Please show full steps ♡´・ᴗ・`♡

Answers

Answer:

Step-by-step explanation:

METHOD 1

in centre it is split by 4, each angle is equal.

in a square angles add up to 360°

360/4=90°

∴∠DOC=90°

if you have to do more work or have toexplain more, or you dont get that way there is another method:

METHOD 2

since ABCD is a square it alladds up to 360°

so ∠A=B=C=D=90°

in triangle DOC anles add up to 180°

each diagonal cuts angleA,B,C and D in half

so in triangle DOC, ∠ODC=∠CDO=45

∠DOC=180-∠DOC-∠CDO       (or 180-(∠DOC+∠CDO)

∠DOC=180-45-45

∠DOC=90

-8/5 X= 56
solve











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Answers

Answer:

x = -35

Step-by-step explanation:

-8/5x = 56

Start by multiplying both sides by 5 to get rid of the fraction. That will leave you with:

-8x = 280

You can then divide both sides by -8 and then you'll get x = -35

Answer:

x=-35

Step-by-step explanation:

-8/5x is gonna be -1.6x and you divide 56 by -1.6x and get x=-35

Pens and Pencils
Mrs. Charles ordered 150 pencils and 225 pens for the academy store. The pens cost 15 cents more than the pencils. Mrs. Charles’ total order was $135. Mrs. Charles was quite surprised by this amount as she thought the total would be $120.

If the cost of one pencil and one pen is 69 cents, who do you think is right, the supplier or Mrs. Charles? Support your answer with

mathematical evidence.

What is the cost of each pencil? Each pen? Support your answer with mathematical evidence.

Answers

Pen=x
Pencil=y
y+0.15=x
y+x=0.69
y+y+0.15=0.69
2y=0.69-0.15
2y=0.54
y=0.54/2
y=0.27 pencils
y+0.15=x
0.27+0.15=x
0x=0.42 pen
150 pencils x0.27=40.5$
225 pens x 0.42=94.5$
Total 40.5$ + 94.50$=135 $
Supplier is right about a priče.

5 divided by 1/3(just answer not like I need help though I’ll give Brainly it’s like easy money)

Answers

Answer:

15 is your answer

Step-by-step explanation:

Answer:

15 is the answer

Step-by-step explanation:

ans 15

thanx

David Smith and his 2 children are going to a zoo.The admission price is:
Adult: £60
Child: £45
David has a family discount card.
Family Discount Card gives
1/4
off adult price
40% off child price
Work out the total price David pays after using his discount card

Answers

Answer:

£101

Step-by-step explanation:

60 divided by 4 = 15

15 x 3 = 45

£45 = adult price

10% of £45 = £4.50

40% of £45 = £18

£45 - £18 = £27

£27 = 1 child ticket

£27 x 2 = £56

£56 = two child tickets

£56 + £45 = £101

I NEED HELP WITH THIS FAST

Answers

Answer:

Option D my dude

Step-by-step explanation:

it make sense

The answer is option three

please help fast !!!!!!!!!!!!!!

Answers

Answer:

(4 , 5)

Step-by-step explanation:

Trapezoid JKLM

Translation

Point M'

_______________

In this question, we are asked to focus on point M if it were moved to a different area. So look at M only, now, it states that its moved 7 units to the left and 2 units up, refer to the graph below to reach your answer.

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