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Elanso [62]
2 years ago
5

Given A= (-3,6) and B=(10,-8) what is the length of AB

Mathematics
1 answer:
raketka [301]2 years ago
8 0

\text{Given that,}\\\\A(x_1,y_1)  = (-3,6)~~ \text{and}~ B(x_2,y_2) =(10,-8)\\\\AB = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~=\sqrt{(10+3)^2 + (-8-6)^2}\\\\~~~~~=\sqrt{13^2 + 14^2}\\\\~~~~~=\sqrt{365}\\\\~~~~~=19.105~ units

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4 years ago
Let f(x) = x^2 − 3x − 7. Find f(−3).
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11

Step-by-step explanation:

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Help me on this please:(
Dima020 [189]

Answer:

3:20   3/20   3.20

Step-by-step explanation:

4 0
3 years ago
Quincy was stuck inside during an afternoon rainstorm. He spent 20 minutes reading books, 18 minutes eating lunch, 12 minutes wa
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Answer:

The answer is B. He spent 3 minutes eating lunch for every 10 minutes.

Step-by-step explanation:

He spent stuck inside during the brainstorm for:

20+18+12+10= 60 minutes in total.

And now we want to know what he did for every 10 minutes he spent in the rainstorm. To do that we need to divide what he did for every 10 minutes by the total of minutes that he was stuck:

\frac{10}{60} =\frac{1}{6}

And now we can multiply the time of the activities by 1/6 to get the time he did each activity every 10 minutes.

Reading:

20*\frac{1}{6} = 3.33 minutes reading for every 10 minutes.

Eating:

18*\frac{1}{6} = 3 minutes eating for every 10 minutes.

Watching TV:

12*\frac{1}{6} = 2 minutes watching TV for every 10 minutes.

Drawing:

10*\frac{1}{6} = 1.67 minutes drawing for every 10 minutes.

Therefore he spent 3 minutes eating lunch for every 10 minutes.

4 0
3 years ago
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Answer:

The  test statistic is  t  = 3.744

Step-by-step explanation:

From the question we are told that

  The population mean is  \mu  =  140

  The  The  level of significance is  \alpha  =  0.05

  The  sample size is  n =  18

   The  null hypothesis is  H_o :  \mu =  140

    The  alternative hypothesis is  H_a  :  \mu > 140

    The sample mean is  \= x  =  155

     The  standard deviation is  \sigma  =  17

Generally the test statistics is mathematically represented as

       t  =  \frac{\= x  - \mu }{ \frac{ \sigma}{ \sqrt{n} } }

substituting values

      t  =  \frac{ 155  - 140 }{ \frac{ 17 }{ \sqrt{18} } }

      t  = 3.744

7 0
3 years ago
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