Plzz help me with this question.
2 answers:
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Answer:
Part A: Option A
Part B: Option C
Step-by-step explanation:
Given two points (7, 5) and (21, 15)
we have to find the slope of the line passing through above two points.
The slope of line can be calculated as
Option A is correct.
Part B: Also given another line with a slope that is one-third that of the slope of above and passes through the origin and the point
we have to find the point.
The equation of line becomes
The point which satisfies the above equation passes through the line.
Not satisfied
Not satisfied
Satisfied
Not satisfied
Hence, the line passes through the point (21, 5)
Option C is correct.
Lets Get started :)
The terms given are
- 8 , + 16 , - 32 , + 64
The formula for finding the sum of this geometric sequence is:
Sn =
a₁ = first term of sequence = -8
r = common ration = -2
n = term of sum we need to find = 7
Sn =
= -344
There is also another way, by simply adding, but you cannot perform this when they ask for a larger terms sums
Each term are multiplied by - 2, so to find the rest of the terms, we multiply by - 2
+ 64 x - 2 = - 128
- 128 x -2 = + 256
+256 x - 2 = - 512
( - 8 ) + ( 16 ) + ( - 32 ) + ( 64 ) + ( - 128 ) + ( 256 ) + ( - 512 ) (first 7 terms)
= -344
The terms given are
- 8 , + 16 , - 32 , + 64
The formula for finding the sum of this geometric sequence is:
Sn =
a₁ = first term of sequence = -8
r = common ration = -2
n = term of sum we need to find = 7
Sn =
= -344
There is also another way, by simply adding, but you cannot perform this when they ask for a larger terms sums
Each term are multiplied by - 2, so to find the rest of the terms, we multiply by - 2
+ 64 x - 2 = - 128
- 128 x -2 = + 256
+256 x - 2 = - 512
( - 8 ) + ( 16 ) + ( - 32 ) + ( 64 ) + ( - 128 ) + ( 256 ) + ( - 512 ) (first 7 terms)
= -344