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
Hakim throws a javelin as far as he can. His throw is described by the equation y=-(1)/(45)(x-30)^2+20 where y represents the height of the javelin when it has traveled a distance x. What are the coordinates of the point at the highest point of Hakim's throw? A (45,30) B (20,30) C. (30,45) D (30,20)
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## Step 1<br />The given equation is \(y=-\frac {1}{45}(x-30)^{2}+20\). This is a quadratic equation in the form of \(y=a(x-h)^{2}+k\), where \(a\), \(h\), and \(k\) are constants. The vertex of this parabola is at the point \((h, k)\).<br /><br />## Step 2<br />In this equation, \(h=30\) and \(k=20\). Therefore, the vertex of the parabola, which represents the highest point of Hakim's throw, is at the point \((30, 20)\).
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