X = Harry's Age
Nick's age is 7x
In 6 years Harry is 7x+6, and Nick is 5(x+6)
7x+6=5x+30
2x+6=30
2x = 24
x = 12
Harry = 12 years old and in 6 years Harry will be 18.
A. You divide 1 (infront of x) by 12 to get 12. You divide -6 by 12 to get -2 for the y intercept.
Answer:
The x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
Step-by-step explanation:
The given triangle has vertices at A(-4,1), B(-2,1) and C(-2,4)
The transformation rule for a horizontal translation by k units is

In this case we have k=6



Therefore the x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
See attachment
Answer:
a)12days
b)8days
Step-by-step explanation:
15x16
=240
240÷20
=12days
24x15
=360
360÷45
=8 days
Parallel lines have the same slope
The equation of the line is: 
The equation is given as:

The slope intercept form of an equation is:

Where:

By comparison,

The line is said to be parallel to
.
This means that the line has a slope of 
The equation of the line is then calculated as:

Where:

So, we have:

Substitute values for m, x1 and y1


Open brackets

Hence, the equation of the line is: 
See attachment for the graphs of
and 
Read more about equations of parallel lines at:
brainly.com/question/402319