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Amiraneli [1.4K]
3 years ago
12

Place the indicated product in the proper location on the grid. (3x ^2a - 4y ^a z^3a)^ 2

Mathematics
1 answer:
omeli [17]3 years ago
6 0

Answer:

9x^{4a} -24x^{2a}y^{a}  z^{3a}  + 16y^{2a} z^{6a}

Step-by-step explanation:

You can follow this steps:

For the expression:

(3x^{2a} - 4y^{2} z^{3a} )^{2}

Write the factors:

(3x^{2a} - 4y^{2} z^{3a} )(3x^{2a} - 4y^{2} z^{3a} )

Now multiply by the term 3x^{2a}

(3x^{2a} - 4y^{2} z^{3a} )(3x^{2a} - 4y^{2} z^{3a} ) = 9x^{4a} -12x^{2a} y^{a} z^{3a}

Then multiply by the term -4y^{2}

(3x^{2a} - 4y^{2} z^{3a} )(3x^{2a} - 4y^{2} z^{3a} ) = 9x^{4a} -12x^{2a} y^{a} z^{3a} \\\\              -12x^{2a} y^{a} z^{3a} + 16y^{2a} z^{6a}

Finally add the terms:

= 9x^{4a} -24x^{2a} y^{a} z^{3a} + 16y^{2a} z^{6a}

You will need to review the laws for the exponents.

For example:

When you are multiplying with the same base you need to add the exponents.

x^{2} *x^{5} = x^{2+5} = x^{7}

Power to power, you multiply the exponents but keep the same base:

(x^{2}y)^3 = (x^{2*3} y^3) = x^{6} y^3

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Answer: 1 + 24x

Add numbers

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5 0
3 years ago
Which of the following is an example of independent events?
Mashcka [7]

Answer:

A. Getting tails from a coin toss and drawing a king from a standard

deck of cards.

Step-by-step explanation:

In probability, independent events are two events that do not affect the outcome of the other. In the first option, whether or not tails is flipped in no way changes the likelihood of a king being drawn. So it is independent because each event can be performed independently of the other.

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5 0
3 years ago
GEOMETRY!!! 15 PTSSSSS
ss7ja [257]

Answer:

23) option c

    JL ≈ 9.3

25) option c

      y ≈ 9.6

Step-by-step explanation:

<h3>25)</h3>

Given in the question that,

cos(21°) = 9 / y

y = 9/cos(21°)

y = 9.64

y ≈ 9.6(nearest tenth)

<h3>23)</h3>

Given in the question that the hypotenuse of right angle triangle = 12

To find,

height of the right angle triangle

angle k = 39°

so by using trigonometry identity

cos(39) = opp/hypo

cos(39) = JL / KL

JL = cos(39)(12)

JL = 9.32

JL ≈ 9.3

<h3 />
4 0
3 years ago
Read 2 more answers
Which graph represents a quadratic function that has no real zeros?
xxTIMURxx [149]

Answer:

2nd graph (in the attached pics)

Step-by-step explanation:

Graphically, the <em>x-intercepts of the graph of a quadratic function are its zeroes. </em>

There can be

  • no zeroes (where graph doesn't cut the x-axis at all),
  • 1 zero (where graph touches the x-axis at one point only), and
  • 2 zeros (where the graph cuts the x-axis at 2 points)

Looking at the figures, the 2nd graph has no real zeroes, <em>because the graph doesn't cut the x-axis at all!</em>

<em />

So, the answer is the second graph.

5 0
3 years ago
Read 2 more answers
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