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Phantasy [73]
4 years ago
15

????????????????????? Helpppp please

Mathematics
1 answer:
LekaFEV [45]4 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

(a)

Following the direction of the arrow, the vector is from tail to nose, 3 units left in the x- direction (- 3) and 2 units up in the y- direction ( + 2), thus

d = \left[\begin{array}{ccc}-3\\2\\\end{array}\right]

(b)

Add the corresponding components in the 2 vectors

h + k = \left[\begin{array}{ccc}4-2\\-3-1\\\end{array}\right] = \left[\begin{array}{ccc}2\\-4\\\end{array}\right]

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Step-by-step explanation:

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Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart. A cable that is stretched fr
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Answer:

Step-by-step explanation:

Given

height of two Poles are 60 and 80 ft

Distance between them is 100 ft

Let x be the distance of Pole of ht 80 ft from Point of stretch

thus length of rope is given by

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differentiate w.r.t x we get

\frac{\mathrm{d} L}{\mathrm{d} x}=\frac{2x}{2\sqrt{80^2+x^2}}-\frac{2\left ( 100-x\right )}{\sqrt{60^2+\left ( 100-2x\right )^2}}

Put \frac{\mathrm{d} L}{\mathrm{d} x}=0 to get minimum value

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squaring

x^2\left ( (100-x)^2+60^2\right )=(100-x)^2(80^2+x^2)

Rearranging

28x^2-1800x+640000=0

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Step-by-step explanation:

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