Help me with this it’s about axioms
Help me with this it’s about axioms - 1

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Answer 1
Answer:

The axiom applied in all the provided equations is the Commutative Property, which is a fundamental property of addition and multiplication in mathematics, stating that the order of operands can be changed without altering the outcome.

The axiom used in the provided equations is the Commutative Property of Addition and the Commutative Property of Multiplication.

a. The equation 3 + 5 = 5 + 3 represents the Commutative Property of Addition, which states that the order in which numbers are added does not affect the sum. In this case, it shows that changing the order of the addends does not change the result.

b. The equation 3x^2 + 5y^2 = 5y^2 + 3x^2 demonstrates the Commutative Property of Addition for algebraic terms. It shows that changing the order of the terms in an addition operation does not alter the result.

c. In the equation Zxy + 5 - 3cd = Zxy - 3cd + 5, the Commutative Property of Addition is evident, illustrating that the order of the terms in an addition operation can be rearranged without changing the result.

d. The equation (5c + 3x) + Zy = 5c(3x + Zy) demonstrates the Commutative Property of Multiplication. It shows that changing the order of factors in a multiplication operation does not affect the product.

Learn more about Commutative Property here:

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7x-5y=20 in slope intercept form
After six weeks the tomato plant that was given extra food and water was 26 cm tall . The tomato plant that was not given any extra food was only 74.5% as tall . How tall was the tomato plant that was no given extra plant food?

Three brothers have ages that are consecutive even integers the product of the first & third boys ages is 20 more than twice the seconds boy age.find the age of each of the boys

Answers

Let's say X is the first brother's age
x+2 is second brother, and x+4 is the third brother
Since the product of the first and third boy x(x+4) is 20 more than twice (20+x(x+2), our equation is x(x+4)=20+2(x+2)
Simplify from there and see what you get.

Parallelogram ABCD is dilated to form parallelogram EFGH. Side BC is proportional to side CD. Which corresponding side is proportional to segment FG? Type the answer in the box below.

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Answer:

It is given that , Parallelogram ABCD is dilated to form parallelogram EFGH.

When Dilation of a geometrical shape takes place, the two→→image and Pre image will be Similar.

Parallelogram ABCD ~ Parallelogram EFGH

Since Similar shapes have , Proportional side Lengths as well as length of their Diagonal will be proportional.

(AB)/(EF)=(BC)/(FG)=(CD)/(GH)=(AD)/(EH)=(AC)/(EG)=(BD)/(EG)

So, Segment FG will be proportional to Segment BC.

The answer is gh i took the test and got it right

The equation of a line is y = -3x - 2. What are the slope and the y-intercept of the line? slope = -3 and y-intercept = 2 slope = 3 and y-intercept = -2 slope = 3 and y-intercept = 2 slope = -3 and y-intercept = -2​

Answers

Answer:

slope -3 and y-intercept -2

Step-by-step explanation:

The slope:

the general linear function is y=mx+n where m is the slope

so slope = -3

y intercept is when x=0

y=-3*0-2

y=-2  

9/5 - 4/3 = 1/3 8/15 7/15 1 1/15

Answers

The answer is 7/15. 
Hope this helps
Your answer would be 7/15 

What is the ordered pair is the vertex of y=-|x+4|

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Answer: The vertex of the given function is (-4,0).

Step-by-step explanation:

Since, the standard form of an absolute function is,

y = a|x-h| + k

Where (h,k) is the vertex of the function,

Here, the given function is,

y = -|x+4|

⇒ y = (-1)|x-(-4)| + k

By comparing,

We get, a = -1, h = -4 and k= 0

Hence, the vertex of the given function is (-4,0).

vertex:\n\nx+4=0\to x=-4\n\nvertex\ is\ (-4;\ 0)\n\nlook\ at\ the\ picture

7 A set of ordered pairs in which each input has exactly one output is called a _______. A. range B. relation C. domain D. function

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A set of ordered pairs in which each input has exactly one output is called a function. Then the correct option is D.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A finitary relation over sets X1,..., Xn is a subset of the Cartesian product X₁, ....., Xₙ in mathematics; specifically, it is a set of n-tuples made up of the components xi in Xi. Typically, the relation describes a potential link between n-components. tuple's

A set of ordered pairs in which each input has exactly one output is called a function. Then the correct option is D.

More about the function link is given below.

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Answer: d! It’s a function

Step-by-step explanation: google says so,, beat that