The result is x^2 +x +4 -21/(x+3).
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Polynomial long division tends to be easier than numerical long division because the quotient term never needs adjustment. It is always the ratio of the highest degree terms of the dividend and divisor.
See the attachment for the intermediate steps.
The measurement of ∠KNL is 102°
First, you must set up an equation to find x.
Then, you must simplify both sides of the equation.
Next, subtract 3x on both sides.
Then, subtract 2 on each side.
Next, divide 2 on each side.
Now that we have the value of x, we can substitute it in for angle KNL.
°
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.
