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Marianna [84]
3 years ago
9

Expand and reduce (2+√3)^2

Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer:

7 + 4\sqrt{3}

Step-by-step explanation:

note that \sqrt{a} × \sqrt{a} = a

Given

(2 + \sqrt{3} )² = (2 + \sqrt{3} )(2 + \sqrt{3} )

Each term in the second factor is multiplied by each term in the first factor, that is

2(2 + \sqrt{3} ) + \sqrt{3}(2 + \sqrt{3} ) ← distribute both parenthesis

= 4 + 2\sqrt{3} + 2\sqrt{3} + 3 ← collect like terms

= 7 + 4\sqrt{3}

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Firstly 10^2 = 100, so we know that the number must be 10. That leaves us with just A and B. Then we know the same thing from the previous equation, that they need to be multiplied together. 
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For the line segment whose endpoints are A (0, 0) and B (4, 3), find the x coordinate for the point located 2 over 3 the distanc
WARRIOR [948]

Answer:

<h3>3.3</h3>

Step-by-step explanation:

Distance between AB is expressed as;

AB = √(3-0)²+(4-0)²

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I don’t understand this question. Can anyone help? I need answers ASAP. Thanks for all the help
zavuch27 [327]

There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)

There's no solution to this particular system because the two lines are parallel.

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The line on the left passes through the points (-1, 0) and (0, -2), so it has slope

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The line on the right passes through (0, 2) and (1, 0), so its slope is

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The slopes are equal, so the lines are parallel.

Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.

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Step-by-step explanation:


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3 years ago
the first three steps of completing the square to solve the quadratic equation X2+4X-6=0 are shown below. what re the next 3 ste
Vilka [71]

Answer:

see the explanation

Step-by-step explanation:

<u><em>The complete question is</em></u>

The first three steps of completing the square to solve the quadratic equation x2 +4x -6= 0, are shown below.

Step 1: x2 +4x= 6

Step 2: x2 +4x+4=6+4

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we have

step 4

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step 6

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