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Arisa [49]
3 years ago
6

Find the LCM of the pair of polynomials.

Mathematics
1 answer:
svet-max [94.6K]3 years ago
7 0

2x^{2}-8x+8

Factor the polynomial.

2(x^{2}-4x+4)

2(x-2)^{2}

Factor the other Polynomial.

3x^{2}+27x-30

3(x^{2}+9x-10)

3(x+10)(x-1)

This is your answer.

6(x-2)^{2}(x+10)(x-1)

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A surveyor leave her base camp and drive 42 km on a bearing of 032, she then drive 28km on a bearing of 154.How far is she then
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Answer:

Step-by-step explanation:

The scenario is represented in the attached photo. Triangle ABC is formed. AB represents her distance from her base camp. We would determine BC by applying the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b. It becomes

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AB² = 42² + 28² - 2(42 × 28)Cos58

AB² = 1764 + 784 - 2(1176Cos58)

AB² = 2548 - 1246.37 = 1301.63

AB = √1301.63

AB = 36.08 km

To find the bearing, we would determine angle B by applying sine rule

AB/SinC = AC/SinB

36.08/Sin58 = 42/SinB

Cross multiplying, it becomes

36.08SinB = 42Sin58

SinB = 42Sin58/36.08 = 0.987

B = Sin^-1(0.987)

B = 81°

Therefore, her bearing from the base camp is

360 - 81 = 279°

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