Answer:
r=1/π
Step-by-step explanation:
Area of the circle is defined as:
Area = πr²
Derivating both sides
=2πr
=
x
= 2πr
If area of an expanding circle is increasing twice as fast as its radius in linear units. then we have : =2
Therefore,
2πr = 2
r=1/π
Answer:
3 and - 4
Step-by-step explanation:
Calculate the gradients using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
Line A
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = = 3
Line B
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (0, 5) ← 2 points on the line
m = =
= - 4
Answer:
Step-by-step explanation:
Two lines are said to be perpendicular if the product of their slope = -1
Given :
to find the slope , we will write it in the form :
That is
which means that the slope =
any line that is perpendicular to this line will have slope = -2
using the formula :
, we have