Answer:
The transformation of 
to 
consists in a vertical translation. The new equation is 
.
Step-by-step explanation:
Let 
. We proceed to make the required transformations on , which consists in one vertical translation, 3 units in the -y direction. That is to say:
(1)
Then, the transformation of to consists in a vertical translation. The new equation is .
Let x be the number of gigabyte of data used.
Plan A:
Total cost = 30 + 5x
Plan B:
Total cost = 50 + 2x
Irfan will use between 5 to 8 gb of data per month.
When x = 5
Plan A = 30 + 5(5) = $55
When x = 8,
Plan A = 30 + 5(8) = $70
When x =5,
Plan B = 50 + 2(5) = $60
When x = 8,
Plan B = 50 + 2(8) = $68
He is probably better off using Plan A. Plan A is a cheaper option up to 7gb of data. He should only swap to Plan B if he consistently use 8gb or more data per month.
Answer:
longer = 28 meters
Total = 40 meters
Step-by-step explanation:
Let the smaller piece be s,
and the longer piece be b
s = ¼b + 5
s = 12
¼b + 5 = 12
¼b = 7
b = 28 m
Total length = 28+12 = 40 meters
For this case we have that by definition, the slope point equation of a line is given by:
Where:
m: It's the slope
b: It is the cutoff point with the y axis
By definition, if two lines are perpendicular, the product of their slopes is -1. That is to say:
Substituting:
We substitute the point to find "b":
Finally:
Answer:
