Step-by-step explanation:
Let 
The slope of the line through these two points is
So the slope-intercept form of the line passing through the two points is
To find b, we use either point into our equation. Let's use (-1, -8):
Therefore, the slope-intercept form of the equation for the line is
The standard form of the equation can be written as
Step-by-step explanation:
The vertex form of the equation for a parabola is given by
where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as
Also, since the parabola passes through (4, -7), we can use this to find the value for a:
or
Therefore, the equation of the parabola is
Answer:
6x + 1
Step-by-step explanation:
1. (10x + 3) + (-4x -2) --> sum means to add.
2. Combine like terms --> 10x - 4x = 6x; 3 - 2 = 1.
3. 6x + 1
The volume of the cylinder is the area of the base (a circle) times the height (you can immagine taking a disk, the base, and translate it along the height to "fill" the cylinder).
So you have:
