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Leni [432]
4 years ago
6

Which property is illustrated by the statement?

Mathematics
1 answer:
il63 [147K]4 years ago
5 0

Answer:

The given expression represents the Associative Property of Addition.

Step-by-step explanation:

Here, the given expression is given as:

(2+3.4) + 6 = 2 + (3.4+6)

Now, for any 3 terms a, b and c the given properties in the options are described as:

1. Associative Property of Addition

(a +b) + c = a + (b + c)

2. Commutative Property of Multiplication

a x b = b x a

3. Inverse Property of Multiplication

a \times \frac{1}{a}    = 1

4. Commutative Property of Addition

a+ b = b + a

Hence, from the given expression,we can see that:

(2+3.4) + 6 = 2 + (3.4+6)

⇒(a +b) + c = a + (b + c)

Hence, the expression represents the Associative Property of Addition

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In the geometric sequence below, what is the common ratio?<br><br> Sequence: 64,16,4,1
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Answer:

  1/4

Step-by-step explanation:

The common ratio is the ratio of successive terms:

  16/64 = 4/16 = 1/4

The common ratio is 1/4.

4 0
3 years ago
How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2. X 2 6x – 4y = –10 one
nordsb [41]

The system of equations provides a unique solution(one solution) at (-0.6, 1.6).

<h2>Given to us,</h2>
  1. y=\dfrac{2}{3}x+2
  2. 6x-4y=-10

<h3>Equation 2</h3>

As we already have the value of y from equation 1, substitute its value in equation 2,

6x-4y=-10

6x-4(\dfrac{2}{3}x+2)=-10

6x-\dfrac{8}{3}x-8=-10

\dfrac{6x}{1}-\dfrac{8}{3}x=-10+8

\dfrac{6x\times 3}{1\times 3}-\dfrac{8}{3}x=-2

\dfrac{18x-8x}{3}=-2

10x=-6\\

x=\dfrac{-6}{10} \\\\x=-0.6

<h3>Equation 1,</h3>

y=\dfrac{2}{3}x+2

substitute the value of x in equation 1,

y=\dfrac{2}{3}(\dfrac{-6}{10})+2\\\\y = \dfrac{-2}{5}+2\\\\y= \dfrac{-2+10}{5}\\\\y = \dfrac{8}{5}\\\\y=1.6

As we can see the system of equations provides a unique solution(one solution) at (-0.6, 1.6).

Learn more about the system of equations:

brainly.com/question/12895249

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Answer:

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Answer:

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