-15 π + 12 π - 5 π =
1 answer:
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Answer:
1.73 or 3+√6/√3+√2
Step-by-step explanation:
1. Simplify the Numerator...3+ the square root of 6 cannot be simplified, so the answer is 5.45
2. Simplify the Denominator.
3. Divide. 5.45/3.15= 1.73
Answer: Choice C
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Explanation:
The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.
The vertical asymptote is due to a division by zero error.
When x = 0, the denominator x(x+4) turns into 0 since
x(x+4) = 0(0+4) = 0*4 = 0
Similarly, when x = -4, the denominator is also zero
x(x+4) = -4(-4+4) = -4*0 = 0
So if x = -4 or x = 0, then we have a division by zero error and that's what produces the vertical asymptotes at those locations shown on the graph.
This is why the answer is choice C.
Answer:
90°
Step-by-step explanation:
Circle C has radius √36 = 6
Circle D has radius √18 = 3√2
As the D radius intersecting either point of tangency, does so at a right angle.
The half angle θ between the tangents is
sinθ = 3√2 / 6 = ½√2
θ = 45°
so the angle between the tangents is 2(45) = 90°
