"a ∝ b" means "a is proportional to b", which in turn means there is some constant k such that
a = kb
We're given that a = 18 and b = 3, so that
18 = 3k ⇒ k = 6
Then when b = 5, we would have
a = 6 × 5 = 30
Answer:
Option (B)
Step-by-step explanation:
Given sequence is 45, 135, 405, 1215, 3645..........
Since it's a geometric sequence,
Common ratio of each successive term to the previous term
r = 
First term of the sequence 'a' = 45
Explicit formula of a geometric sequence will be,


Recursive formula of this sequence will be,
, 
Therefore, Option (B) will be the answer.
Answer:
x=1
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to −
2
+
2
y
=
5
.
Answer:

Step-by-step explanation:
This shape is actually just a rectangle with a missing triangle. We can first find the area of the rectangle with
and subtract the triangle.
Area of missing triangle =
(b is the base and h is the height)
Base = 
Height = 
Area of missing triangle = 
Area of the figure: 
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Alternatively, you can find the area of each individual shape and add them all up.
Area of the rectangle:
Area of square: 
Area of triangle: 
Total Area: 