Based on what we established about the classification of x and using the closure of integers, what does the equation tell you about the type of number x must be for the sum to be rational? What conclusion can you now make about the result of adding a rational and an irrational number?

Based On What We Established About The Classification Of X And Using The Closure Of Integers, What Does

Answers

Answer 1

The conclusion that we now make about the result of adding a rational and an irrational number is that the sum of any rational number and any irrational number will always be an irrational number.

What is a rational number?

Irrational numbers cannot be stated as a fraction, although rational numbers can be expressed as ratios (such as P/Q and Q). However, both of the numbers are genuine and can be shown on a number line.

It should be noted that the conclusion that we now make about the result of adding a rational and an irrational number is that the sum of any rational number and any irrational number will always be an irrational number.

For example, we can conclude that ½+√2 is irrational.

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Related Questions

How are the triangles congruent?

Answers

Answer:

SSS

Step-by-step explanation:

it means side side side and the lines represent their congruecny with the other triangle, meaning that the two line dash is equal to the other two line dash and the one line dash is equal to the other one line dash and you know the last side is the same with eachother because they are sharing that side of the triange

hope it helps have a great day

im not having a great day i got 101 notifications. guess what they were. A MODERATOR DELETED ALL MY ANSWERS AND NOW I HAD TO START OVER I HAD 23 BRAINLIESTS AND 2983 POINTS AND NOW I HAVE -76 POINTS

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

PLS THIS IS MY LAST QUESTION
this is my last question pls help me out i’ll give brainest it’s due in an hour

Answers

Answer: x = 5.625

Step-by-step explanation:  The triangles are similar; the side lengths of the large triangle are proportional to the lengths of the small triangle. The corresponding parts are proportional.

Use proportion. The total length of side FV is 16.

6:16 = x:15 . or 6/16=x/15

cross multiply 15 × 6 = 90, then divide 90/16

90/16 = x

5.625 = x

Solve the following system of equations: (1 point)

−2x + y = 1
−4x + y = −1

Answers

-2x+3=1
-4x+5=1 that is the answer hope I helped

Find the measure of the missing angle

Answers

Answer: b=112 degrees and c=68

Step-by-step explanation:

Answer:

b = 112, c = 68

Step-by-step explanation:

The angle of a line is 180 degrees.

If an angle is 112, 180-112=68 so that blank space will be 68 degrees.

180-68=112, so b=112.

Since b is 112, we now that c is 68.

Can someone please help mee (20 points
brainliest!!!)

Answers

The answer should be 825 pounds. Hope that helps u :)
825 pounds is the answer
Hope it helps

Point P is located at (–3, –2). P is reflected across the x-axis to create P'. What quadrant is P' in?

Answers

The quadrant of P' is (-3 , 2).

Here,

Point P is located at (–3, –2).

Point P is reflected across the x-axis to create P'.

We have to find the quadrant of P'.

What is Reflection across x-axis?

A point after reflection across the x-axis, the x- coordinate remains the same but y - coordinate is taken to be the additive inverse.

Now,

Point P is located at (–3, –2).

Point P is lie on third coordinates.

And, P is reflected across the x-axis to create P'.

Hence, Point P' is lie on second coordinates.

Since, The rule of the reflection across x- axis is,

(x, y) → (x, -y)

Hence, Quadrant of P' = (-3, -(-2)) = (-3, 2)

Therefore, The quadrant of P' is (-3 , 2).

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please help it is due today

Answers

I think it is also D

On a certain hot​ summer's day, 73 people used the public swimming pool. The daily prices are for children are $1.25 and for adults are $2.25. The receipts for admission totaled $126.25. How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

There were 35 children and 38 adults at the pool that day.

Step-by-step explanation:

You can use substitution to solve this answer. When solving equations with substitution, ask yourself "how many?" and "how much?" to create two equations:

1.25c+2.25a=126.25  (this equation tells us the dollar value)

c+a=73.   (this equation tells us quantity, or how many)

1. Solve for 1 variable and plug it into the other equation.

a=73-c   -----> 1.25c+2.25(73-c)=126.25

2. Simplify the equation above.

1.25c+164.25-2.25c=126.25

3. Simplify even more:

-1c+164.25=126.25

4. Subtract 164.25 from both sides to get:

-1c=-38

5. Divide both sides by -1.

c=38 (this means that there are 38 children)

6. Plug the new value for c back into the equation c+a=73.

38+a=73

7. Subtract 38 from both sides to solve for a:

a=35 (this means that there are 35 adults)

I hope this helps!

What are the coordinates of the midpoint?

Answers

Answer:

Midpoint (4|7)

Step-by-step explanation:

A(2,6) and B(6,8)

at first add the x values and divide it by two

(2+6)/2=4

second, add the y values and divide it by two

(6+8)/2=7

Midpoint (4|7)

-> and you can see it it is exactly in the middle of line segment

What are the solutions of x^2 - 2x + 10 = 0?

Answers

Answer:

C. x = 1 + 3i or x = 1 - 3i

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Algebra II

Imaginary Roots: √-1 = i

Step-by-step explanation:

Step 1: Define

x² - 2x + 10 = 0

Step 2: Identify Variables

a = 1

b = -2

c = 10

Step 3: Find roots

Substitute [Quad Formula]:                    [tex]x=\frac{2\pm\sqrt{(-2)^2-4(1)(10)} }{2(1)}[/tex]Exponents:                                              [tex]x=\frac{2\pm\sqrt{4-4(1)(10)} }{2(1)}[/tex]Multiply:                                                   [tex]x=\frac{2\pm\sqrt{4-40} }{2}[/tex]Subtract:                                                  [tex]x=\frac{2\pm\sqrt{-36} }{2}[/tex]Factor:                                                     [tex]x=\frac{2\pm\sqrt{-1} \sqrt{36} }{2}[/tex]Simplify:                                                   [tex]x=\frac{2\pm6i }{2}[/tex]Factor:                                                     [tex]x=\frac{2(1\pm3i) }{2}[/tex]Divide:                                                     [tex]x=1\pm3i[/tex]

8 days would be 4 or 2 to the second power answer

Answers

Answer:

2 to the 3 power

2 to the 3 power is going to be your correct answer

2 Consider the statement
Two segments are the same measurement.
Which of the following is a negation of the statement?
F Two segments do not have the same measurement.
G Two segments are not measured in degrees.
H
The two segments are measured with a ruler.
J If segments are congruent, then they have the same measures.
property of equing
same slope.

Answers

The option that negates the given statement is; F: Two segments do not have the same measurement.

What is the Negation of a statement?

In Mathematics, the negation of a statement simply means the opposite of the given mathematical statement. Thus, “X” is a statement, then the negation of statement X is represented by ~X.

Now, we are given the statement;

"Two segments are the same measurement."

Now, for two segments to be the same measurement it means that they are equal and congruent and could possibly measure the same degree, However, it can never mean that they do not have the same measurement.

Thus, the option that negates the given statement is; F: Two segments do not have the same measurement.

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The difference between two numbers is 10 and
their sum is four times the smaller number.
Find the two numbers.​

Answers

Answer:

x = 10

y = 5

Step-by-step explanation:

Let the two numbers be x and y

Difference between the two is 10

x-y = 10

Sum;

x+ y is four times the smallest number

Let the smaller number be y

x+ y = 4y

Subtracting equation ii from i

-2y = 10 -4y

4y-2y = 10

2y = 10

y = 10/2

y = 5

Recall;

x-y = 10

x = 10 + y

x = 10 + 5 = 15

Review Guide #3 16-27

Answers

Answer:

-11

Step-by-step explanation:

Given:
p: 2x -5=5
q: 4x-6=14
P 9
Write the contrapositive in if-then form.
O If 2x–5=5, then 4x - 6=14.
If 4x -6=14, then 2x-5=5.
If 2x – 5≠5, then 4x - 6≠14.
If 4x - 6≠4, then 2x–5≠5.

Answers

Answer:

we conclude that:

If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.

Step-by-step explanation:

We know that the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p".

In other words, it is symbolically represented as:

' ~q ~p is the contrapositive of p q '

For example, the contrapositive of "If it is a rainy day, then they suspend the match" is "If they do not suspend the match, then it won't be a rainy day."

Given

p: 2x -5=5

q: 4x-6=14

As the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p

Thus, we conclude that:

If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.

The sum of two numbers is 45. The first is 9 less
than the second. Find the numbers.

Answers

Answer:

18 and 27

Step-by-step explanation:

x+(x+9)=45

2x+9=45

2=36

x=18

x+9=27

Answer quickly please

Answers

Answer:

C

Step-by-step explanation:

True or false, Sales tax will add to the total cost of an
Item

Answers

Answer:

True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Siete veces un numero es igual a 210.

Answers

Answer:

30 Treinta

Step-by-step explanation:

7x = 210

x = 210/7

x = 30

Siete veces 30 es igual a 210

Susan has $188 and gets $25 for her birthday.
She earns $130 at her job. How much does she
have now?
Click to add text

Answers

Answer:

343

Step-by-step explanation:

the answer is that you add all of them

the model represents x2 – 9x 14. an algebra tile configuration showing only the product spot. 24 tiles are in the product spot: 1 is labeled x squared, 9 are labeled negative x, and 14 are labeled .

Answers

The factors of the model x^2-9x+14 is (x-2) and (x-7)

The model is x^2-9x+14

Factoring the expression, we get

x^2-7x-2x+14=0

x(x-7)-2(x-7)=0

(x-2)(x-7)=0

The factors of the given model is (x-2)(x-7)

To check if it is a factor or not substitute x=2

2^2-9(2)+14=4-18+14=4-4=0

So x-2 is a factor of the model

7^2-9(7)+14=49-63+14=49-49=0

So x-7 is also a factor of the given model

various that entirely divides every other variety is referred to as a issue.to position it any other way, if adding two complete numbers outcomes in a product, then the numbers we are including are elements of the product because the product is divisible through them.

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Rita feeds her dog 2/5 pounds of dog food for each meal Rita has just bought 10 punds of dog food. for how many meals will this food last​

Answers

Answer:

25 meals

Step-by-step explanation:

If Rita feeds her dog 2/5 pounds of dog food for each meal, this means;

2/5 pounds = 1 meal

To get the number of meals she will feed if she buys 10 pounds, we will say;

10 pounds = x meals

Divide both equations to get x;

(2/5)/10 = 1/x

Cross multiply;

2/5 x = 10 * 1

2x/5 = 10

2x = 50

x = 50/2

x = 25

Hence the 10pounds food will last 25 meals

State the x-intercept and the y-intercept of the line.
a.-10;5
b.-9;5
c.-10;4
d.-11;6

Answers

The answer is C
Because the line intersects the x axis at -10 and intersects the y axis at 4.
Hope this helps :D

16 + 7 + 9 = 7 + 9 + 16
A. commutative property of addition
B. additive identity property
C. multiplicative identity property
D. associative property of addition

Answers

Answer:

D

Step-by-step explanation:

I am trying to get 100 warns, pls help me

What is the radius of this circle?
A) 2.5 cm
B) 3.14 cm
C) 5 cm
D) 10 cm
WILL MARK BRANLIEST HURRYY

Answers

Answer:

The answer is C 5 cm.

Step-by-step explanation:

its 5 i think I might be wrong though

What does <,> mean please and if the number is bigger than another how do I know what symbol to use

Answers

Answer:

Imagine it is an alligator's mouth, the opening side eats the larger number because the alligator would want to eat the greater number then the less one, well, that's how I learned it.

-----____----____-----_____----____-----______------______-----_______-----___

IF THIS HELPED, PLEASE MARK ME AS BRAINLIEST!!!!!!!!

what is the surface area of the triangular prism?

Answers

Answer:

300yd²

Step-by-step explanation:

Surface Area = area of triangles *2 + area of thhe 3 rectangles

SA= 2*( 9*4/2) + 5*12 + 8*12 + 9*12=  2*18 +5*12 + 8*12 + 9*12 =

36+60+96+108 = 300

Find the equation of the line.
y=__x+__

Answers

Answer:

y=mx+b

Step-by-step explanation:

the formula for finding the y value

Solve the equation. Check the solution.
9-17x-5-4x=7

Answers

Answer:

x = -1/7

Step-by-step explanation:

Solve for x

9-17x-5-4x=7

Combine like terms

-21x +4 = 7

Subtract 4 from each side

-21x-4+4 = 7-4

-21x = 3

Divide each side by -21

-21x/-21 = 3/-21

x = -1/7

Check

9 - 17(-1/7) -5 -4(-1/7) =7

9 + 17/7 -5 + 4/7 =7

4 +21/7 = 7

4+3 = 7

7=7

Please solve this as soon as possible

Answers

Answer:

Equation: (14.50-10)/0.15

Stanley has do 30 extra messages.

[tex] \frac{(14.5 - 10)}{0.15} [/tex]

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