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Mathematics, 26.04.2021 08:00 wittlemarie

Let your Universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. And let sets A = {1, 2, 3, 4, 5}, B = {2, 4, 6, 8} and C = {1, 4, 7, 10}. Determine the characteristic vector of the following:
(i) A1B1
(ii) (AB)C
(iii) (AB)(AC) (iv) A  B

ansver
Answers: 3
ansver
Answer from: Quest

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

ab^2+ac^2=bc^2

ab^2+ac^2=x^2                       )

triangle abd and cba are similar,

\frac{ab}{bc}=\frac{bd}{ab}

ab^2=bc\cdot bd

25=bc\cdot bd                             (2)

triangle cad and cba are similar,

\frac{ac}{bc}=\frac{cd}{ac}

ac^2=bc\cdot dc

7\times 7=bc\cdot dc

49=bc\cdot dc                       )

using (1), (2) and (3), we get

25+49=x^2

74=x^2

hence proved.

therefore option 2 is correct.

ansver
Answer from: Quest

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

ansver
Answer from: Quest

the answer would be 44.79

plz mark brainliest

step-by-step explanation:

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