Mathematics, 31.08.2019 01:00 coco9972
Find all x such that the distance between (-6,-6) and (x,-5) is 19.
Answers: 3
![\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{-5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{d}{19}=\sqrt{[x-(-6)]^2+[-5-6]^2}\implies 19=\sqrt{(x+6)^2+(-11)^2} \\\\\\ 19^2=(x+6)^2+(-11)^2\implies 361 = (x^2+12x+36)+121 \\\\\\ 361=x^2+12x+157\implies 0=x^2+12x-204 \\\\[-0.35em] ~\dotfill](/tpl/images/0213/5579/712b6.png)
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Find all x such that the distance between (-6,-6) and (x,-5) is 19....
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