Aball is shot into the air using a brand new super-high-tech robotic arm to baseball players practice catch fly balls. the ball has an initial upward velocity of 64 feet per second. the height, h, of the ball after t seconds is given by theequation:

69 feet

Step-by-step explanation:

we have

where

h(t) is the height of the ball

t is the time in seconds

we know that the given equation is a vertical parabola open downward

The vertex is the maximum

so

the y-coordinate of the vertex represent the maximum height of the ball

Convert the quadratic equation into vertex form

The equation in vertex form is equal to

where

(h,k) is the vertex of the parabola

the vertex is the point (2,69)

therefore

The maximum height is 69 ft

can you add an image ?

step-by-step explanation:

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)