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Emilytthrewtatballtuptintthetairtfromtherttreethouse.tIttfollowedtthetpath giventbytthetparabolatyt=t-0.16tx^2t+4xt+10,twheretxtistthetdistance fromtthettreethouset(intfeet)tandtytistthetheighttoftthetballt(intfeet) Attwhattdistancetawaytfromtthettreethousetdidtthetballtstriketthe ground? Y=t-0.16x^2t+4xt+t10 Xt=t-b/2(a) Xt=t-4/2(-.16) Xt=t-4/-.32 Xt=t12.5 yt=t-0.16(12.5)2t+4(12.5)t+t10 yt=t-0.16(156.25)t+50t+10 yt=t-25t+50t+10 yt=t35
Emily\tthrew\ta\tball\tup\tin\tthe\tair\tfrom\ther\ttree\thouse.\tIt\tfollowed\tthe\tpath given\tby\tthe\tparabola\ty\t=\t-0.16\tx^2\t+4x\t+10,\twhere\tx\tis\tthe\tdistance from\tthe\ttree\thouse\t(in\tfeet)\tand\ty\tis\tthe\theight\tof\tthe\tball\t(in\tfeet) At\twhat\tdistance\taway\tfrom\tthe\ttree\thouse\tdid\tthe\tball\tstrike\tthe ground? Y=\t-0.16x^2\t+4x\t+\t10 X\t=\t-b/2(a) X\t=\t-4/2(-.16) X\t=\t-4/-.32 X\t=\t12.5 y\t=\t-0.16(12.5)2\t+4(12.5)\t+\t10 y\t=\t-0.16(156.25)\t+50\t+10 y\t=\t-25\t+50\t+10 y\t=\t35
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