Given the graph of a line y=−x.
1 answer:
Answer:
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
By definition, the slopes of perpendicular lines are negative reciprocals.
Given the line:
We know that a line perpendicular to this line must have this slope:
Since that line goes through the point (8,2), we can substitute the slope 1 and these coordinates into and solve for "b":
Therefore, the equation of this line is:
You might be interested in
Answer:
Therefore the one combination is
200 tickets of Children and 100 tickets of Adult.
Therefore Total Amount will be given as
..........As Required
Step-by-step explanation:
Given:
Children's tickets cost = 5$ (per ticket)
Adult tickets cost = 10$ (per ticket)
Total Amount = 2000$
Let the number of Children's Ticket be " x "
and the number of Adult's Ticket be " y "
Therefore,
Total cost for Children's Ticket will be =
Total cost for Adult's Ticket will be =
Therefore Total Amount will be given as
...........As Required
So there are many combinations to get 2000$ one of the as follow
Children's tickets cost = 1000$
∴
Adult's tickets cost = 1000$
Therefore the one combination is
200 tickets of Children and 100 tickets of Adult.
Answer:
sum(2^(n+1), for n=1 to 6)
Step-by-step explanation:
To answer this question, you need to know two things:
- what is an expression for the n-th term
- how many terms are there
__
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.