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Lelechka [254]
3 years ago
15

Find the simplified product:

xFormula1" title="\sqrt{2x^{3} }-\sqrt{18x^{5} }" alt="\sqrt{2x^{3} }-\sqrt{18x^{5} }" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
mash [69]3 years ago
7 0

Correct Question: Find the simplified product: \sqrt{2x^3}*\sqrt{18x^5}

Answer:

6x^4

Step-by-step explanation:

Based on the rules of radicals, since \sqrt{2x^3} and \sqrt{18x^5} has the same index (square root), therefore:

\sqrt{2x^3}*\sqrt{18x^5} = \sqrt{2x^3 * 18x^5}

To simplify this, multiply their bases together, and add their exponents.

= \sqrt{2*18x^{3+5}

= \sqrt{36x^{8}

Simplify further

= \sqrt{36}*\sqrt{x^8}

= \sqrt{6*6}*\sqrt{x^4*x^4}

= 6x^4

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WXY is a right triangle. <br><br> A. True. <br> B. False.
lora16 [44]

Answer:

B. False


Step-by-step explanation:

According to pythagorean theorem, for this to be a right triangle, the sum of  square of the length of the two legs must equal square of the length of the hypotenuse (longest side).

So  (\sqrt{34} )^{2}  should equal  (\sqrt{18} )^{2}+(\sqrt{18} )^{2}

  • <em>We also know that  (\sqrt{a} )^{2}=(\sqrt{a})(\sqrt{a})=a</em>

Hence,  (\sqrt{18} )^{2}+(\sqrt{18} )^{2}=18+18=36  , and

(\sqrt{34} )^{2}=34

They ARE NOT EQUAL, so the triangle is NOT a right triangle.

5 0
2 years ago
Read 2 more answers
Algebra 2 question need help.​
MrMuchimi

Answer: Choice C

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

===========================================

Explanation:

When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so

f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5

f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5

f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.

The reason why we replace every x with -x is because of the examples mentioned below

-----------

Examples:

The point (1,2) moves to (-1,2) after a y axis reflection

Similarly, (-5,7) moves to (5,7) after a y axis reflection.

As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.

4 0
2 years ago
What is the simplified answer to 5+3w+3-w​
DaniilM [7]

Answer:

<h2>5 + 3w + 3 - w = 2w + 8</h2>

Step-by-step explanation:

5+3w+3-w\qquad\text{combine like terms}\\\\=(3w-w)+(5+3)\\\\=2w+8

6 0
3 years ago
What does 21÷3+(3×9)×9+5 equal? show work below plz
igor_vitrenko [27]
3x9=27
21/3 = 7
so
7+27x9+5
27x9=243
243+7+5
answer is 255
6 0
3 years ago
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G(t)=t³+5t²; Find g(-1)​
erik [133]

Answer:

I need points sorry bbh

Step-by-step explanation:

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6 0
2 years ago
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