Euclid relied on five basic axioms to build the propositions in his book Elements. The first axiom states, “Things that are equal to the same thing are also equal to one another.” Which modern mathematical statement is equivalent to this axiom?
A. If a = b, then b = a.
B. If a = b and b = c, then a = c.
C. If a ≠ b, then b ≠ a.
D. If a = b, then a + c = b + c.

Answer: $28.80 per year

The ratio of the coefficient is the same so it will be the infinite solution of a given system of the equation so option (C) will be correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A linear equation could contain more than one variable. When the maximum power of the variable is constantly uni, an equation is said to be linear.

Given the set of equation

4x - 2y = 12

20x - 10y = 160

The ratio of x coefficient = 4/20  = 1/5

The ratio of y coefficient = -2/-10  = 1/5

The ratio of the constant term = 12/160 = 1/5

Since all ratios are the same so there will be an infinite number of solutions.

The question was incomplete, but the complete question is given below.

How many solutions does this system have?

4x – 2y = 12

20x - 10y = 60

A. None

B. One

C. Infinite

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Answer:

Where its the graph??????

Answer:

24

Step-by-step explanation:

times 6 by 4 and you get 24

Answer:

y=2/3x-7

Step-by-step explanation:

The slope intercept formula is

y=mx+b

(m) is the slope (rate of change)

(b) is the y intercept (where the line crosses the y axis [vertical])

We need to find the slope and the y intercept. First we will find the slope.

The formula for slope is y1-y2/x1-x2

In and ordered pair the first value is the (x) and the second is the (y).

(x, y)

We take the (y) of one of the given points and subtract the (y) of the second given point, then divide it by the (x) of one of the given points and the (x) of the other given point.

5-(-1)/8-4

Simplify.

5-(-1) =5+1= 6

8-4=4

6/4 Simplify

3/2 is our slope.

Now we apply out new slope into our y=mx+b

y=3/2x+b

Now we need to find the (b) which is the y intercept.

To do this we need to use one of our given points, you can choose either but for this I'll use (4, -1).

In this ordered pair 4 is the (x) and -1 is the (y)

So replace (y) with -1 and (x) with 4

-1=3/2(4)+b

Now solve as usual.

-1=6+b

subtract 6 from each side

-7=b

b=-7

Put our (m) and (b) into our formula.

y=2/3x-7 is our equation.

Answer:

The first one because every x value can only have one y value

Step-by-step explanation:

The set of ordered pairs that represents y as a function of x are; {(0, 0), (1, 1), (2, 3), (3, 3)}

We must be aware that, dependent variable, y can only be a function of x if;

For every value of x, there must only be one value of y.

In essence,

For case 1:

For Case 2:

For Case 3:

For Case 4:

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Answer:

cool

Step-by-step explanation:

free points nice

Answer:

the answer is -8

Step-by-step explanation:

this is because when you subtract four from negative four you add the negative four and it becomes 8 but since it'snegative it would be -8

Answer:

i got 8

Step-by-step explanation:

ur questions range on so many level, ngl

Answer:

Domain:{1≤x≤8}

Range:{2≤y≤6}

I hope this is good enough:

Answer:

it's a   /  

Step-by-step explanation:

Answer:

It compares 3 meals to 1 day

Step-by-step explanation:

"3 meals a day" it is saying that there are 3 meals in a day.

Answer:

It compares 3 meals to 3 days

Step-by-step explanation:

since there is 3 meals every 3 days

Answer:4.898979486

Step-by-step explanation:

Answer:

The square root of 24 is; 4.898... when you round it it's going to be 4.900 so that's the square root cause it doesn't have an exact square root.

Answer:

6 laptops

Step-by-step explanation:

First, find the amount spent on the textbooks:

30(116)

= 3480

Subtract this from the total amount they have to spend:

6500 - 3480

= 3020

Divide this amount by 439 to find how many laptops they can buy:

3020/439

= 6.8

Round down to 6 since you can only have full laptops:

= 6

So, they can buy 6 laptops

Answer:

positive 3

Step-by-step explanation:

Answer:

2(10-x)+12

Step-by-step explanation:

Answer:

I think the answer would be $21

Step-by-step explanation:

On a calculator you type 108.53 then divide it by six and add 18%.

Answer:

Slope = 0

So, the line is parallel to x-axis

Step-by-step explanation:

(x₁ , y₁) = (-8, -8)      & (x₂ ,y₂) = (6 , -8)

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\=\frac{-8-[-8]}{6-[-8]}\\\\=\frac{-8+8}{6+8}\\\\= 0[/tex]

Since a^2 - b^2 = 1, the value of y = 1 because x=1 and 1^2 - 1^2 = 0

Answer:

B! Since Its not positive, it is negative, so its -6. Hope this helps!

Answer:

Step-by-step explanation:

C.

Answer:

A and C

Step-by-step explanation:

Both events in A and C have no connections whatsoever. B and D are dependant of each other due to both having to do with ether both socks or both cards.

Answer:

3x, -2x

Step-by-step explanation:

they both have x as a variable

Answer:

3x, -2x

Step-by-step explanation:

Answer:

i think yes the order pair of (8,48) satisfy the direct equation y=6x

Step-by-step explanation:

Answer:

3 or 5

Step-by-step explanation:

Because follow the problem

Answer:

The first box on the left goes to the middle box on the right! THe second box on the left goes to the first box on the right! And the last box on the left goes to the third box on the right!

Hope this helps and u understand it