Answer:
Step-by-step explanation:
The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:
--------------------(i)
From the question,
the point is (5, 0, -6)
the plane is x + y + z = 6
Therefore,
a = 5
b = 0
c = -6
m = 1
n = 1
t = 1
r = 6
Substitute these values into equation (i) as follows;
Therefore, the shortest distance from the point to the plane is
The answer is 5.5 m.
Cube
Volume = length x width x height
Since the length, width and the height are the same in cube, the formula can be:
Volume = length^3
Let x metres be the side length of the cube.
166 = x^3
x = ∛166
x = 5.495864.....
x = 5.5 (nearest tenth)
Answer:
m=2/3, b=12
Step-by-step explanation:
When you see an equation in this format, it's called slope-intercept form (y=mx+b, with m being slope and b being y-intercept). So in this case, by looking at our formula, we can tell right away that our slope, or m, is 2/3 and our y-intercept, or b, is 12. HTH :)
Area=lw
l=2w
aera=2l^2
72=area
72=2l^2
divide both sides by 2
36=l^2
sqrt both sides
6=l
length=6 units
