Factor. x2+3x−18 Enter your answer in the boxes. x2+3x−18=(____)(____)
2 answers:
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Answer:
B)
Step-by-step explanation:
That is a triangular prism and thus, it has two bases that are triangles, in this case, right triangles, whose hypotenuse is 5 in. long and one of its legs is 4 in. and the other one, 3 in.
The first step is to find the area of both bases like this:
The second step is to get the lateral area, which is compound of three rectangles, hence the process is the following:
Finally, we sum both of the areas found to calculate the total area.
So, the answer is option B).
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.
