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o-na [289]
4 years ago
15

Simplify the numerical expression 4(3)+5(6+)

Mathematics
1 answer:
wolverine [178]4 years ago
3 0

Answer:

42

Step-by-step explanation:

<u>Step 1:  Multiply</u>

(4 * 3) + (5 * 6)

(12) + (30)

<em>42</em>

<em />

Answer:  42

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A box has colored balls (12 red, 10 green, 6 light blue and 8 yellow). What is the probability of drawing 2 red balls?
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Answer:

You will have a 33% chance of drawing a red ball

Step-by-step explanation:

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What is the following quotient? 2/ square root 13 + square root 11
enot [183]

Given : \frac{2}{\sqrt{13}+\sqrt{11}}

\mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}

=\frac{2\left(\sqrt{13}-\sqrt{11}\right)}{\left(\sqrt{13}+\sqrt{11}\right)\left(\sqrt{13}-\sqrt{11}\right)}

\left(\sqrt{13}+\sqrt{11}\right)\left(\sqrt{13}-\sqrt{11}\right)

\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\left(a+b\right)\left(a-b\right)=a^2-b^2

a=\sqrt{13},\:b=\sqrt{11}

=\left(\sqrt{13}\right)^2-\left(\sqrt{11}\right)^2

\left(\sqrt{13}\right)^2-\left(\sqrt{11}\right)^2=13-11=2

=\frac{2\left(\sqrt{13}-\sqrt{11}\right)}{2}

\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1

=\sqrt{13}-\sqrt{11}

Therefore, correct option is D.\\\sqrt{13} - \sqrt{11}

4 0
3 years ago
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Can someone help me out?
iVinArrow [24]

Answer: b

Step-by-step explanation:

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