Answer:
Step-by-step explanation:
we are given a quadratic equation
Let's assume formula of vertex form of parabola as
where vertex is (h,k)
we are given
vertex =(11,-2)
so, h=11, k=-2
now, we can plug it
now, we are given zeros at x=10 and x=12
we know that zeros will be x=10 , y is 0
so, we can plug x=10 and y=0 and solve for 'a'
now, we can plug it back
and we get
so, we get quadratic equation as
The best description of the resulting three-dimensional figure when the considered figure is revolved is: A cylinder with height 24 cm.
<h3>What is solid of revolution?</h3>When a figure is revolved around some fixed axis, the whole three dimensional solid formed from the area that it swaps out is called solid of revolution.
Since no image is specified, we will work on the image attached below.
We can visualize and imagine that the horizontal line is still and just rotating on its place. The rectangle will revolve around, and therefore will swap out a cylindrical shape.
Since the length of the rectangle is 24 cm, and it is rotated on its length, so that will serve as height of the formed cylinder.
Thus, the best description of the resulting three-dimensional figure when the considered figure is revolved is: A cylinder with height 24 cm.
Learn more about solid of revolution here:
Answer:
Step-by-step explanation:
Look at the picture.
The formula of an area of a triangle:
<em>b</em><em> - base</em>
<em>h</em><em> - height</em>
<em />
We need a length of a height.
Use the Pythagorean theorem:
We have:
Substitute:
<em>subtract 25 from both sides</em>
Calculate the area:
