Given:
.
To find:
The value of r.
Solution:
We have,
.
We know that the radius is perpendicular to the tangent at the point of tangency
AD is the tangent and CD is the radius. So, CD is perpendicular to AD at point D, i.e., 
.
Using Pythagoras theorem, we get
On further simplification, we get
Therefore, the value of r is 9.
Answer:
Step-by-step explanation:
When two variables vary inversely, it means that an increase in one would lead to a decrease in the other and vice versa. Since the volume of a gas, V in a container varies inversely with the pressure on the gas, P, if we introduce a constant of proportionality, k, the expression would be
V = k/P
If V = 370 in³ and P = 15psi, then
370 = k/15
k = 370 × 15 = 5550
The equation that relates the volume, V, to the pressure, P would be
V = 5550/P
if the pressure was increased to 25psi, the volume would be
V = 5550/25 = 222 in³
Step-by-step explanation:
All you need to do is divide cost by mile since they already factored in the additional $3 for you.
1. 8/5 = $1.60
2. 11/8 = $1.375 = $1.38
3. 23/20 = $1.15
Answer:
3) 
4) a) 
b) 
Step-by-step explanation:
<u>Exercise 3</u>
<u>Exercise 4</u>
a) If L2 is parallel to L1, it has the same slope (gradient) ⇒ 
If L2 passes through point (3, 1):
So L2 = L1
b) If L3 is perpendicular to L1, then the slope of L3 is the negative reciprocals of the slope of L1 ⇒ 
If L3 passes through point (-5, 2):
