Answer:

Step-by-step explanation:
The volume of a pyramid is

where B = area of the base, and h = height of the pyramid
The base is a square.




The side of the base has length 6. Each face of the pyramid is an equilateral triangle with side of length 6.
An altitude of this triangle measures


The pyramid is formed by 4 equilateral triangles whose bases form a square. The tips of the faces meet at a single point on top. The vertical distance from that point to the center of the base is the height of the pyramid.




Volume of the pyramid:



Because we have been given the slope and y-intercept, we can create an equation in slope-intercept form.
y = mx + b
m = the slope
b = y-intercept.
In the first problem,
m = -4
b = 10
So, our equation looks like: y = -4x + 10
In the second problem,
m = 1/3
b = -6
So, our equation looks like: y = 1/3x - 6
Answer:
Step-by-step explanation:
Total number of miles is 700.
On the first day, they drove 6 and 2/3 hours. We would convert 6 and 2/3 hours to improper fraction. It becomes 20/3 hours. On the second day, they drove 5 and 3/4 hours. Converting to improper fraction, it becomes 23/4 hours. Total number of hours that they drove during the first two days is the sum of hours driven on the first day and hours driven on the Second day. It becomes
20/3 + 23/4 = (80 + 69)/12
= 149/12 hours
The awnser is 15
hope that was helpful
I don't know if we can find the foci of this ellipse, but we can find the centre and the vertices. First of all, let us state the standard equation of an ellipse.
(If there is a way to solve for the foci of this ellipse, please let me know! I am learning this stuff currently.)

Where

is the centre of the ellipse. Just by looking at your equation right away, we can tell that the centre of the ellipse is:

Now to find the vertices, we must first remember that the vertices of an ellipse are on the major axis.
The major axis in this case is that of the y-axis. In other words,
So we know that b=5 from your equation given. The vertices are 5 away from the centre, so we find that the vertices of your ellipse are:

&

I really hope this helped you! (Partially because I spent a lot of time on this lol)
Sincerely,
~Cam943, Junior Moderator