We are given:
The time t required to drive a certain distance varies inversely with the speed r.
According to the question t is inversely proportional to speed(r).
let us say distance (d) is constant of proportionality,
So the equation becomes,

Now from the question, we are given it takes 2 hours to drive the distance at 67 miles per hour, so plugging these in the above equation,

d=134 miles.
Now we have to find how long will it take to drive the same distance that is 134 miles at 55 miles per hour
so plugging the values, we have,

t=2.436
So the time taken will be around 2.5 hours.
Answer : It will take about 2.5 hours to drive the same distance at 55 miles per hour. Option C. About 2.5 hours.
Answer:
like real numbers, the arithmetic operations, such as addition, subtraction, multiplication and division are applicable to the rational numbers
Answer:
a) ΔF'G'H' is the image of ΔFGH
b)Center of dilation (7,-1)
c) Scale factor: 
Step-by-step explanation:
Question a
Since the smaller triangle is named F'G'H', it means that, it is the image of triangle FGH.
Question B.
To find the center of dilation, draw straight lines through any two corresponding points.
The straight lines will meet at (7,-1).
This is called the center of dilation.
See graph in attachment.
Question c
The scale factor of the dilation is given by;






Let’s say the variable is x.
0.74x the inverse of this is x/0.74
Answer:
y = -2x
Step-by-step explanation:
The slope of a line parallel will always be the slope itself.