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3 years ago

Name the algebraic property demonstrated in the example below: x ⋅ y ⋅ z = y ⋅ x ⋅ z

2 answers:

5 0

<span>The order was just switched around, and it is multiplication, so we can conclude that it is the "Commutative Property of Multiplication"</span>

elena55 [62]3 years ago

3 0

Multiplication is commutative. Meaning the order of the factors doesn't matter.

So, the answer is The Commutative Law of Multiplication.

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Which expression is equivalent to the following complex fraction?

marta [7]

Answer:

$\dfrac{-4x+7}{2(x-2)}$

Step-by-step explanation:

The first step is to combine the parts of the numerator and denominator into one rational expression each. Those will have the same denominator, so their ratio is the ratio of their numerators.

$\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\left(\dfrac{3-4(x-1)}{x-1}\right)}{\left(\dfrac{2(x-1)-2}{x-1}\right)}=\dfrac{3-4(x-1)}{2(x-1)-2}\\\\=\dfrac{3-4x+4}{2x-2-2}=\boxed{\dfrac{-4x+7}{2(x-2)}}$

5 0

3 years ago

Read 2 more answers

Please answer this question I will give you brainliest!

romanna [79]

circumference of circle= 2x3.14r

1) radius is 9

2x3.14x9

18x3.14= 56.52

2) radius is 8

2x3.14x8

16x3.14= 50.24

3) radius is 5

2x3.14x5

10x3.14= 31.4

4 0

3 years ago

Find the greatest common factor of x^2 and 15xy. A. 1 B. 15 C. x D. 15xy

Sindrei [870]

C. x is the greatest common factor because it is the only term from these answer choices that is a factor of both terms.

5 0

3 years ago

Read 2 more answers

Which arrangment shows 27/5,5 3/5, and 33/6 in order least to greatest

svetoff [14.1K]

5 3/5, 27/5, 33/6 , hope I helped lmk if I got it right

8 0

2 years ago

Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando'

AleksandrR [38]

Let's start by assuming Armando's house is between Joey's and the park.

Let $x$ be the distance Joey walked to Armando's house.

<span>The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.

</span> $\dfrac{9}{10} = x + \dfrac{3}{5}$

$x = \dfrac{9}{10} - \dfrac{3}{5} = \dfrac{9}{10} -\dfrac{6}{10} = \dfrac{3}{10}$

That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)

Let $a, b, c$ be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

$\pm a \pm b = \pm c$

Let's get rid of the plus/minuses. Squaring,

$a^2 + b^2\pm 2ab = c^2$

$\pm 2ab = c^2-a^2-b^2$

$4a^2b^2 = (c^2-a^2-b^2)^2$

For us, that's a quadratic equation for $c^2$

$4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2$

I'll skip right to the solutions,

$c^2=\dfrac{9}{100} \textrm{ or } c^2=\dfrac{9}{4}$

$c=\dfrac{3}{10} \textrm{ or } c=\dfrac{3}{2}$

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

6 0

3 years ago