If this rectangle is dilated using a scale factor of 1/2 through point B, what is the result?
2 answers:
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Answer:
A. (3, 8) and
B. (2, 4) and
Step-by-step explanation:
Midpoint formula:
Distance formula:
A. plug in the points in the formulas
(4, 7) and (2, 9)
Midpoint:
Length:
B.
(5, 5) and (-1, 3)
Midpoint:
Length:
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Answer:
In 17th year, his income was $30,700.
Step-by-step explanation:
It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.
Income in first year = $17,900
Income in 4th year = $20,300
Let y be the income at x year.
It means the line passes through the point (1,17900) and (4,20300).
If a line passes through two points and
, then the equation of line is
The equation of line is
Add 17900 on both sides.
The income equation is y=800x+17100.
Substitute y=30,700 in the above equation.
Subtract 17100 from both sides.
Divide both sides by 800.
Therefore, in 17th year his income was $30,700.