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3 years ago

Select the number property that will justify the step in the following expression.

Mathematics

1 answer:

umka2103 [35]3 years ago

5 0

Positions of 2, 5, 17 are not changed - so its not commutative property

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There is 12/15 of a pizza left.How many 3/10 pieces can be made from the leftover pizza?

Katena32 [7]

So 12/15 simplifies to 4/5, and if you multiply both sides by two you have 8/10 so i guess 2 ( and some extra )

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3 years ago

13) A ball is dropped from a height of 64 feet.

zalisa [80]

Answer:

Step-by-step explanation:

64+16+4+1= 85 is the total distance i believe

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2 years ago

What is the measure of each interior angle for a regular polygon with 36 sides please help

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3 years ago

The polynomial x^2+3x-1 is a factor of x^4+3x^3-2x^2-3x+1 true or false?

pashok25 [27]

Answer:

Yes, it is true that $x^2+3x-1$ is a factor of $x^4+3x^3-2x^2-3x+1$ .

Step-by-step explanation:

Let us try to factorize $x^4+3x^3-2x^2-3x+1$

$x^4+3x^3-2x^2-3x+1\\\Rightarrow x^4-2x^2+1-3x+3x^3$

Let us try to make a whole square of the given terms:

$\Rightarrow (x^2)^2-2\times x^2 \times 1+1^2+3x^3-3x\\\Rightarrow (x^2-1)^2+3x^3-3x\\$

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Formula used above:

$a^{2} -2 \times a \times b +b^{2} = (a-b)^2$

In the above equation, we had $a = x, b = 1$ .

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Further solving the above equation, taking $3x$ common out of $3x^3-3x$

$\Rightarrow (x^2-1)^2+3x(x^2-1)\\$

Taking $(x^{2} -1)$ common out of the above term:

$\Rightarrow (x^2-1)((x^2-1)+3x)\\\Rightarrow (x^2-1)(x^2+3x-1)$

So, the two factors are $(x^2-1)\ and\ (x^2+3x-1)$ .

$\therefore$ The statement that $x^2+3x-1$ is a factor of $x^4+3x^3-2x^2-3x+1$ is <em>True.</em>

7 0

2 years ago

Is y/7 = 2/x direct variation?

jenyasd209 [6]

Answer:

It is not direct variation

Step-by-step explanation:

y/7 = 2/x

y = 7×2/x

y = 14/x

And

y = k/x

k = 14 which is the constant of proportionality

: y ∞ 1/x

This is inverse variation

3 0

3 years ago