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marysya [2.9K]
3 years ago
9

Name the property illustrated by 5 (x + y) = 5 (y + x) . a. Distributive Property b. Commutative Property of Addition c. Associa

tive Property of Addition d. Commutative Property of Multiplication
Mathematics
1 answer:
Gnom [1K]3 years ago
7 0

Given:

5 (x + y) = 5 (y + x)

Solution:

Here, we need to find the property illustrated by this equation.

It the given equation, we write (x+y) as (y+x).

According to the Commutative Property of Addition, if a and b are two real numbers, then

a+b=b+a

It means, Commutative Property of Addition is illustrated by the given equation.

Therefore, the correct option is b, i.e., Commutative Property of Addition.

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A is the right answer
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Answer:

a)

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Solve by Elimination<br> 2x+5y=9<br> 3x-5y=11
shepuryov [24]

Answer:

x = 4 , y = ⅕

Step-by-step explanation:

2x + 5y = 9 (1)

3x - 5y = 11 (2)

Add (1) and (2)

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x = 4

Using (1), find y

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8 0
3 years ago
Read 2 more answers
A circular garden has a circumference of
omeli [17]

This solution to this problem is predicated on the fact that the circumference is just: 2\pir. A straight line going through the center of the garden would actually be the diameter, which is well known to be two times the radius of the circle, so we can say that the circumference is just:

d\pi

So, solving for both the radius and the diameter gives us:

d\pi=8xy^2\pi\\ d=8xy^2\\ \\ 2\pi r=8xy^2\pi\\ r=4xy^2

So, the length of thes traight path that goes through the center of the guardain is just 8xy^2, and we can use the radius for the next part of the problem.

The area of a circle is \pi r^2, which means we can just plug in the radius and find our area:

A=\pi r^2 \implies \\ A=\pi (4xy^2)^2\implies \\ A= 16\pi x^2y^4

So, we have found our area(16 \pi x^2 y^4) and the problem is done.

6 0
3 years ago
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