Solving the equation
1 answer:
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Answer:
AH = 1 or 4
CH = 4 or 1
Step-by-step explanation:
An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...
AH/BH = BH/CH
AH·CH = BH²
The problem statement tells us AH + CH = AC = 5, so we can write
AH·(5 -AH) = BH²
AH·(5 -AH) = 2² = 4
This gives us the quadratic ...
AH² -5AH +4 = 0 . . . . in standard form
(AH -4)(AH -1) = 0 . . . . factored
This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.
Answer:
The correct option is A.
Step-by-step explanation:
If a line passes through two points and
, then the equation of line is
Let y be the profit (in millions) after x years.
From the given graph it is clear that the line passes through the point (1,-100).
The company paid for these costs and made combined profits of $80 million after 4 years. It means the graph passes through the point (4,80).
The line passes through (1,-100) and (4,80). So, the equation of line is
Subtract 100 from both sides.
The function form is
Therefore, the correct option is A.