Question

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Answer 1

Answer:

$2. \: \: \frac{3 - \sqrt{2} }{3 + \sqrt{2} } \\ \\ rationalizing \: the \: denominator \: \\ \\ \frac{3 - \sqrt{2} }{3 + \sqrt{2} } \times \frac{3 - \sqrt{2} }{3 - \sqrt{2} } \\ \\ \frac{ {(3 - \sqrt{2} )}^{2} }{ {(3)}^{2} - { (\sqrt{2}) }^{2} } \\ \\ \frac{ {(3)}^{2} + {( \sqrt{2}) }^{2} - 2 \times 3 \times \sqrt{2} }{9 - 2} \\ \\ \frac{9 + 2 - 6 \sqrt{2} }{7} \\ \\ \frac{11 - 6 \sqrt{2} }{7}$

3. given that

x = 2

y = 1

2x + 3y = k

2 × 2 + 3 × 1 = k

4 + 3 = k

7 = k

Answer 2

1) In geometry, Playfair's axiom is an axiom that can be used instead of the fifth postulate of Euclid (the parallel postulate): In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point.

2). Done in picture

3). k=7

as x=2 and. y =1

2x+3y=k. ___equation ________1____ ( substitute value of x&y in equation 1)

4+3 =k

k = 7

u can refer this answer in image

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