Which points are the vertices of the eclipse

Mathematics

1 answer:

Advocard [28]3 years ago

7 0

Answer:

"points G and H"

Step-by-step explanation:

The vertices of the ellipse is the major axis.

From bottom to top edge of the curve and also from left to right edge of the curve can be vertices. Which ever's distance is greatest is the vertices.

Looking at J and K (top & bottom edge), we see that the length is 12 units.

Looking at G and H (left & right edge), we see that the length is 16 units.

Hence, G & H are the longer one and it is the vertices.

first answer choice is right, "points G and H"

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A ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is h-48t -16t^2.

Marat540 [252]

Answer:

36 feet.

Step-by-step explanation:

We have been given that a ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is $h(t)=-48t -16t^2$ . We are asked to find the maximum height of the ball.

We can see that our given equation is a downward opening parabola, so its maximum height will be the vertex of the parabola.

To find the maximum height of the ball, we need to find y-coordinate of vertex of parabola.

Let us find x-coordinate of parabola using formula $x=-\frac{b}{2a}$ .

$x=-\frac{-48}{2(-16)}$

$x=-\frac{48}{32}$

$x=-\frac{3}{2}$

So, the x-coordinate of the parabola is $-\frac{3}{2}$ . Now, we will substitute $x=-\frac{3}{2}$ in our given equation to find y-coordinate of parabola.