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rosijanka [135]
3 years ago
14

1" title="\left(\sqrt{2}+1\right)\left(5+\sqrt{2}\right)" alt="\left(\sqrt{2}+1\right)\left(5+\sqrt{2}\right)" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
masya89 [10]3 years ago
6 0

Answer:

\huge\boxed{\sf 7 + 6\sqrt{2}}

Step-by-step explanation:

(\sqrt{2} +1)(5+\sqrt{2} )\\\\= \sqrt{2} (5+\sqrt{2} )+1(5+\sqrt{2} )\\\\= 5\sqrt{2} + (\sqrt{2})^2+5+\sqrt{2} \\\\= 5\sqrt{2} + 2 + 5 + \sqrt{2}  \\\\= 2+5+\sqrt{2} + 5\sqrt{2} \\\\= 7 + \sqrt{2} (1+5)\\\\= 7 + 6\sqrt{2} \\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
dsp733 years ago
5 0
<h3>Solution:</h3>

( \sqrt{2}  + 1)(5 +  \sqrt{2}) \\  =  \sqrt{2}  (5 +  \sqrt{2} ) + 1(5 +  \sqrt{2} ) \\  = 5 \sqrt{2}  + 2 + 5 +  \sqrt{2}  \\  = 7 + 6 \sqrt{2}

<h3>Answer:</h3>

7 + 6√2

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400 grams = 480 ml<br> so,<br> 180 grams = ?
Viefleur [7K]

Answer: 216 ml

Step-by-step explanation:

400 grams = 480 ml

180 grams = ?

Since the value of 180 grams in milliliters is unknown, let the unknown be Z

Thus, 400 grams = 480 ml

180 grams = Z

To get the value of Z, cross multiply

Then, Z x 400 grams = 480ml x 180 grams

400Z = 86400

Divide both sides by 400

400Z/400 = 86400/400

Z = 216

Thus, 180 grams is equal to 216 milliliters.

5 0
3 years ago
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A family on a trip budgets $1,000 for meals and gasoline. If the price of a meal for the family is $50 and if gasoline costs $3.
galben [10]

Answer:

They can buy 13meals if they buy 100 gallons of gasoline.

Step-by-step explanation:

3.50 PER gallon so 1 gallon is $3.50

if they buy 100 gallons you have to multiply 3.50 by 100 which gives you 350. you subtract 350 from 1000 so 1000-350 and get 650. now, you divide 650 by 50 because each meal is $50. And you get 13 so there you have it.

3 0
3 years ago
1. Select all values of x that are solutions to the equation: -2(x + 4)(3x - 18) = 0A) -6B) -4C) -2D) OE) 2F) 4G) 6
navik [9.2K]
\begin{gathered} -2(x+4)(3x-18)=0 \\ \text{There are two factors here which are} \\ -2(x+4)\text{ and} \\ (3x-18) \\ \text{This means, either} \\ 2(x+4)=0 \\ 2x+8=0 \\ 2x=-8 \\ \text{Divide both sides by 2} \\ x=-4 \\ OR \\ 3x-18=0 \\ 3x=18 \\ \text{Divide both sides by 3} \\ x=6 \\ \text{Therefore,} \\ x=-4\text{ or} \\ x=6 \end{gathered}

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6 0
1 year ago
Can someone answer this question?
Ber [7]
I hope this helps you

5 0
3 years ago
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7nadin3 [17]

Answer:

The rectangular 5 x 10 table.

Step-by-step explanation:

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