Answer:
1. It has two points in common with the x-axis.
2. The vertex in relation to the x-axis is at
Step-by-step explanation:
The points that the equation has in common with the x-axis are the points of intersection of the parabola with the x-axis.
To find them, substitute y=0 and solve for "x":
Use the Quadratic formula:
It has two points in common with the x-axis.
To find the vertex in relation to the x-axis, use the formula:
Substituting values, you get:
Given:
The volume of a cube-shaped box is cubic meter.
To find:
The perimeter of each of its faces.
Solution:
Let "a" be the side length of the cube shaped box. Then the volume of the box is:
It is given that the volume of a cube-shaped box is cubic meter.
Taking cube root on both sides, we get
Now, the perimeter of each face of a cube is:
Where, a is the side length of the cube.
Putting , we get
Therefore, the perimeter of each face of a cube-shaped box is 2 meters.
