Inicio
/
Matemáticas
/

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
Weryfikacja ekspertów
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 \((30, 20)\).