Given the numbers x = a and y = –b, which statement is true?

Mathematics

2 answers:

sergey [27]3 years ago

5 0

D. |x| = a and |y| = b , because modulus sign (| |) turns a negative number into positive

Minchanka [31]3 years ago

4 0

choice D is correct, any number inside the absolute value sign is positive so choice A and C is eliminated, if there is a negative sign in front of the absolute value symbol, the number becomes negative which eliminates choice B. The only choice left is choice D

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<h3>Application of Pythagoras theorem;</h3>

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According to SOH CAH TOA:

$sin\theta = \frac{opp}{hyp} \\sin60 = \frac{12\sqrt{3}}{hyp} \\hyp =\frac{12\sqrt{3}}{sin60} \\hyp =\frac{2\times12\sqrt{3}}{\sqrt3}} \\hyp = 24 = diameter$