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2 years ago

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Mathematics

1 answer:

timofeeve [1]2 years ago

6 0

Problem 2

<h3>Answer: Choice C) 3+5 = 5+3</h3>

The commutative property of addition is the idea of adding any two (or more) numbers in any order we want. In the example above, the 3 and 5 swap places. You can think of them commuting back and forth as if they are going from work to home (or vice versa).

A similar property is the commutative property of multiplication. An example would be 2*3 = 3*2 (shown in choice B).

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Problem 3

The list of choices is not showing up, so I cannot answer this one. Please update.

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Sholpan [36]

Answer:

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Step-by-step explanation:

Given:

ABCD is a Rectangle.

A(-6,-4),

B(-4,-4),

C(-4,-2), and

D (-6,-2).

To Find :

Perimeter of Rectangle = ?

Solution:

Perimeter of Rectangle is given as

$\textrm{Perimeter of Rectangle}=2(Length+Width)$

Length = AB

Width = BC

Now By Distance Formula we have'

$l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}$

Substituting the values we get

$l(AB) = \sqrt{((-4-(-6))^{2}+(-4-(-4))^{2} )}$

$l(AB) = \sqrt{((2)^{2}+(0)^{2} )}=2\ unit$

Similarly

$l(BC) = \sqrt{((-4-(-4))^{2}+(-2-(-4))^{2} )}$

$l(BC) = \sqrt{((0)^{2}+(2)^{2} )}=2\ unit$

Therefore now

Length = AB = 2 unit

Width = BC = 2 unit

Substituting the values in Perimeter we get

$\textrm{Perimeter of Rectangle}=2(2+2)=2(4)=8\ unit$

Therefore Perimeter of Rectangle ABCD is 4 units

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