Given:
The square base pyramid with height 3 cm and base edge 2 cm.
To find:
The volume of the square pyramid.
Solution:
Volume of a square base pyramid is:
...(i)
Where, B is the base area and h is the height of the pyramid.
Base is a square with edge 2 cm, so the base area is:

Where, a is the edge of the square base.


Putting
in (i), we get
Therefore, the volume of the given pyramid is 4 cm³.
Answer:

Step-by-step explanation:
The given system of equations is now reduced:
1)
,
,
,
Given
2)
By 1)
3)
2) in 1)
4)
By 1)
5)
4) in 3)
6)
Algebra
7)
Algebra
8)
7) in 4)/Algebra
9)
7) and 8) in 2)/Algebra
10)
9), 1), 7) and 8)/Algebra/Result
Answer:
y = -3/2x + 2
Step-by-step explanation:
Since you know it has a point at (0, 2) - the y intercept, put those values into the equation and solve. To be perpendicular it seems the reciprocal of the slope with the opposite sign, so 2/3 is the original slope, and -3/2 becomes the new slope.
y = 2/3x + 8 becomes
2 = -3/2(0) + b We substitute in the x and y values, but we have to figure out what the last number will be.
2 = 0 + b
b = 2
So put the whole equation together
y = -3/2x + 2