Find the gradient of the line between each pair of points A(2,2) and B(6,6)
1 answer:
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Answer:
12 years younger.
Step-by-step explanation:
Let Jan's age be J and Karyn's age be K.
Jan's age 8 years ago is 2/5 of Karyn's age 4 yeaRs from now.
=>
=> 4K = 48 X 3
=> K= 36.
=> J= 24.
So Jan is 12 years younger.
Step 1. Solve both inequalities for 
:
Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines
and 
:
(1)
(2)
Replace (1) in (2):
Solve for
:
(3)
Replace (3) in (1):
We can conclude that the point (-2,3) is in the solution of the system if <span>inequalities</span>; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.
Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines
Replace (1) in (2):
Solve for
Replace (3) in (1):
We can conclude that the point (-2,3) is in the solution of the system if <span>inequalities</span>; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.