Given:
A scale drawing of a rectangular park is 5 inches wide and 7 inches long.
The actual park is 280 yards long.
To find:
The area of the actual park.
Solution:
Length of drawing = 7 inches
Length of actual park = 280 yards
The scale factor is
7 inches : 280 yards
1 inches : 40 yards
The width of the drawing is 5 inches. So, the width of actual part is
The area of the actual park is
Therefore, the area of the actual park is 56000 sq. yards.
Answer with Step-by-step explanation:
We are given that
For each real number
To prove that f is one -to-one.
Proof:Let and
be any nonzero real numbers such that
By using the definition of f to rewrite the left hand side of this equation
Then, by using the definition of f to rewrite the right hand side of this equation of
Equating the expression then we get
Therefore, f is one-to-one.
The solution to this system is (x, y) = (8, -22).
The y-values get closer together by 2 units for each 2-unit increase in x. The difference at x=2 is 6, so we expect the difference in y-values to be zero when we increase x by 6 (from 2 to 8).
You can extend each table after the same pattern.
In table 1, x-values increase by 2 and y-values decrease by 8.
In table 2, x-values increase by 2 and y-values decrease by 6.
The attachment shows the tables extended to x=10. We note that the y-values are the same (-22) for x=8 (as we predicted above). That means the solution is ...
... (x, y) = (8, -22)
