Please help as I can’t figure this out :(

Mathematics

1 answer:

sweet [91]3 years ago

5 0

This involves another of the secant rules for circles. When chords divide each other, the product of the segment lengths of one chord is equal to the product of segment lengths of the other chord.

18·6 = 9·YB

18·6/9 = YB = 12

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mafiozo [28]

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Decimal And fraction in meters of 8 centimeters

netineya [11]

Ok so
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What two numbers add to be 6 and multiply to be 15

yarga [219]

$\displaystyle \bf \\
x_1+x_2=6\\\\
x_1\cdot x_2=15\\\\
\Longrightarrow~~x^2-6x+15=0\\\\
x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{6\pm\sqrt{36-60}}{2}=\\\\
=\frac{6\pm\sqrt{-24}}{2}=\frac{6\pm2\sqrt{-6} }{2}=3\pm i\sqrt{6}\\\\
x_1=\boxed{3-i\sqrt{6}}\\\\
x_2=\boxed{3+i\sqrt{6}}\\\\
\texttt{Verify:}\\\\
x_1+x_2=3-\underline{i\sqrt{6}}+3+\underline{i\sqrt{6}}=3+3=6~~correct\\\\
x_1\cdot x_2=(3-i\sqrt{6})(3+i\sqrt{6})=3^2-(i\sqrt{6})^2=9+6=15~~correct$

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Answer:

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Step-by-step explanation:

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