Don't be shy about using actual parentheses and commas.
Line through (1,8) perpendicular to
The perpendicular family is gotten by swapping the coefficients on x and y, negating exactly one of them. The constant is given directly by the point we're through:
Let's clear the fractions by multiplying both sides by 20.
Might as well stop here.
Answer: 25 x + 16 y = 153
Answer: B(8, -8 )
Step-by-step explanation: The formula for calculating mid - point between two points is given as :
M = ( ,
)
The mid point has been given from the question .
= -2
= ?
= 4
= ?
substituting into the formula , we have
(3 , - 2 ) = ( ,
)
Equating x -component to x and y component to y , we have
3 =
cross multiplying , we have
6 = -2 +
Therefore:
= 8
Also , equating y component to y , we have
-2 =
-4 = 4 +
= -8
Therefore :
= 8
= -8
check
-2 + 8 / 2 = 3 and
-8 + 4 / 2 = -2
Answer:
sum(2^(n+1), for n=1 to 6)
Step-by-step explanation:
To answer this question, you need to know two things:
__
The series shown is a geometric series with first term 4 and common ratio 8/4 = 2. The generic form of the n-th term is ...
an = a1×r^(n-1) . . . . first term a1, common ratio r
You can use this form directly in your summation expression, or you can simplify it a bit.
an = 4×2^(n-1) = (2^2)(2^(n-1)) = 2^(n-1+2)
an = 2^(n+1)
__
The value 128 is 2^7, so n+1 = 7, or n=6 for that term
Your summation expression could be ...
_____
<em>Additional comment</em>
The n-th term can also be written as 2×2^n.