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NeTakaya
3 years ago
15

Please help me find the value of x

Mathematics
1 answer:
Mandarinka [93]3 years ago
8 0

Answer:

10 \sqrt{3}

Step-by-step explanation:

<h2><em><u>Given</u></em><em><u> </u></em><em><u>Question</u></em><em><u>, </u></em></h2>

To find the value of x.

<h2><em><u>Solution</u></em><em><u>:</u></em></h2>

<em><u>According</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>Pythagoras</u></em><em><u> </u></em><em><u>Theorem</u></em><em><u>-</u></em>

{20}^{2}  =  {10}^{2}  +  {x}^{2}

=  > 100 +  {x}^{2}   = 400

=  >  {x}^{2} = 400 - 100

=  >  {x}^{2}  = 300

=  > x =  \sqrt{300}

=  > x = 10 \sqrt{3}

<h2><em><u>Result</u></em><em><u>:</u></em></h2>

<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>required</u></em><em><u> </u></em><em><u>value</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em>

<em><u>10\sqrt{3}</u></em>

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Answer:

The closest points on the cone are;

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Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

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Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

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x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

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2y - 4 + 2y = 0

4y - 4 = 0

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y = 1

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z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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(I am just giving the answer cause I LOVE Linear Equation )

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Therefore, Daniel's present age is 3 and Kevin's present age = 6

Hope You understood

Thank You

Please mark me as brailiest                

                       

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