A scale drawing of a living room is shown below:
2 answers:
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Answer:
(-2,4) and (2,0)
Step-by-step explanation:
The graphical solution to the system of equations is simply the point(s) where the graphs of the function intersect or cross each other.
The graphs of the function can be found in the attachment below;
From the graph, the functions intersect at ;
(-2,4) and (2,0)
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.
