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user100 [1]
3 years ago
6

Find the distance between the points (10,10) and (–5,–5).

Mathematics
1 answer:
Eddi Din [679]3 years ago
3 0

Answer:

Distance= 21.21

Step-by-step explanation:

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Step-by-step explanation:

Isn’t this mathematics not science

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3 years ago
Tutorial Exercise A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due
ANTONII [103]

Answer:

Both the boats will closet together at 2:21:36 pm.

Step-by-step explanation:

Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).

Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),

        Formula :   d=v*t

at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)

the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)

      Formula : D=\sqrt{(x2-x1)^2+(y2-y1)^2}

⇒                     D = \sqrt{20^2t^2+15(t-1)^2}

Now let           F(t) = D^2(t)

                ∵    F'(t) = 800t + 450(t-1) =  1250t -450\\F'(t) =0

⇒                     t= 450/1250

⇒                     t= .36 hours

⇒                       = 21 min 36 sec

Since F"(t)=0,

∴ This time gives us a minimum.

Thus, The two boats will closet together at 2:21:36 pm.

3 0
3 years ago
Which of the following is an example of a permutation?
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Permutation

Step-by-step explanation:

  • Permutation is an example of the mathematics in which item are arranged in different way.
  • For example ABC, ACB, BCA, CBA, CAB, BAC etc.
  • The order of an arrangement are different in each alphabet.
  • The product of number also be defined as in the form of n to 1
  • for example : 5*4*3*2*1 = 120

Learn more: permutation

<h2>https://brainly.in/question/17438663</h2>
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Answer:

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Step-by-step explanation:

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\frac{43}{5}, \frac{-7}{5}

Step-by-step explanation:

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