Simplify this expression. 2√5(13+√2)

Mathematics

2 answers:

Ann [662]3 years ago

7 0

Answer:

26√5+2√10

Step-by-step explanation:

2√5(13+√2)

Distribute

2√5 *13+√2 *2√5

We know that sqrt(a) * sqrt(b) = sqrt(ab)

26√5+2√10

valkas [14]3 years ago

3 0

Answer:

26√5+2√10

Step-by-step explanation:

Multiplying variables to avoid parentheses. Using exponent laws in exponent terminology to avoid parentheses. Through incorporating factors, merge the terms like. Combine consistencies.

Description:

The steps are above to simplify expression. The answer for this question is=2√10+26√5(Decimal: 64.462323). Short form = 26√5+2√10. Answer is 26√5+2√10.

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<em><u>Hope this helps.</u></em>

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Seiji and Gavin both worked hard over the summer. Together they earned a total of $450. Gavin earned $30 more than seiji.

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Answer:

(a) $s+g=450\\g=s+30$

(b) The graph is shown below.

(c) Seiji earned $ 210 and Gavin earned $ 240.

Step-by-step explanation:

Given:

Sum of earnings of Seiji and Gavin = $ 450

Gavin earns $ 30 more that that of Seiji.

(a)

So, as per question, if s and g are the amounts earned by Seiji and Gavin respectively, then;

$s+g=450\\g=s+30$

(b)

The graph is plotted using the x and y intercepts of each line.

For the line, $s+g=450$ , the x intercept is at $g=0$ . So, x intercept is (450,0). Similarly, the y intercept is when s=0, which is (0,450). Draw a line passing through these two points. The red line represents $s+g=450$ .

We follow the same process to plot the next line. The x intercept is at (-30,0) and y intercept is at (0,30). Draw a line passing through these two points. The blue line represents $g=s+30$ .

The graph is shown below.

(c)

From the graph, the point of intersection of the two lines gives the earnings of each of the persons.

The $x$ value of the point of intersection is the earning of Seiji which is $ 210 and the $y$ value is the earning of Gavin which is $ 240 as shown in the graph.