Problemas
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)
Roztwór
Joaquín
maestro · Tutor durante 5 años
4.6
(182 Votos)
Respuesta
D
Explicación
## Step 1The 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
,
, and
are constants. The vertex of this parabola is at the point \((h, k)\).## Step 2In this equation,
and
. Therefore, the vertex of the parabola, which represents the highest point of Hakim's throw, is at the point \((30, 20)\).