Answer:

Step-by-step explanation:
Refer the attached figure .
We are given a line AB
Point A
Point B
Formula for slope 'm' when two points are given :

Substituting thew values


Since we are given that AB is perpendicular to BC
So, By property - perpendicular slopes are negative reciprocals of each other.



So, Slope for line BC : 
Point B = (4,4)
Formula of equation of line : 





Hence the equation of line BC : 
Answer:
1/16 meters
Step-by-step explanation:
perimeter of a square = 4 x length of each side,
so the length of each side is (1/4)/4 = 1/16 meters
Answer:

first you must know how many 3/4 do you have
because of scale
and after that multiply to 5 to get actual length
Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r =
= 6