The first equation in the system models the heights in feet, h, of a falling baseball as a function of time, tThe second equation models the heights in feet, h, of the glove of a player leaping up to catch the ball as a function of time, tWhich statement describes the situation modeled by this system?

The height of the baseball is 35 feet at the moment the player begins to leap.

The height of the baseball is 35 feet at the moment the player begins to leap.

Step-by-step explanation:

Given the equations:

1. h(t) = 35 + 16t^2

Comparing the equation above yo the equation of motion,

h(t) = ut + 1/2 × at^2

Where,

h(t) represents the heights in feet, h, of a falling baseball as a function of time, t.

2. h(t) = 6 + 18t - 16t^2

Where,

h represents the heights in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t.

At the time, when the leap time of the glove of the player, t = 0 sec

From equation 1,

h(t) = 35 + 16t^2

= 35 + (16 × 0)

h(0) = 35 ft

This means that the height of the baseball falling is 35 feet at the moment the player begins to catch it.

From equation 2,

h(t) = 6 + 18t - 16t^2

= 6 + (18 × 0) + (16 × 0)

h(0) = 6 ft

This means that the height of the glove of the baseball player as he just leaps to catch the ball is 6 feet.

351.23

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.