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denis23 [38]
4 years ago
12

Find the distance between each pair of points. Round to the nearest tenth.

Mathematics
1 answer:
Vsevolod [243]4 years ago
3 0

Answer:

The answer is

<h2>6.7 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

M ( 4 , 0) and L ( - 2 , - 3)

The distance between them is

|ML|   =   \sqrt{( {4 + 2})^{2} +(  {0 + 3})^{2}  }  \\  =  \sqrt{ {6}^{2}  +  {3}^{2} }  \\  =  \sqrt{36 + 9}  \:  \:   \\  =  \sqrt{45 }  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 3 \sqrt{5}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 6.7082039

We have the final answer as

<h3>6.7 units to the nearest tenth</h3>

Hope this helps you

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What does x−16= 47 <br> mean
Mnenie [13.5K]

x - 16 = 47    <em>add 16 to both sides</em>

x - 16 + 16 = 47 + 16

x = 63

8 0
4 years ago
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What is the surface area of the prism, in square centimeters?
elixir [45]

Answer:

182

Step-by-step explanation:

2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )

= {182cm}^{2}

7 0
3 years ago
Given below are the rating and performance scores of 15 laptop computers. Performance Score 115 191 153 194 236 184 184 216 185
My name is Ann [436]

Answer:

moderate positive relationship

Step-by-step explanation:

From the data:

The linear relationship between score and rating can be obtained by calculating the Pearson correlation Coefficient between the two variables. This can be obtained more easily by using technology, a linear correlation Coefficient calculator. The result of the correlation Coefficient for the data above is about 0.66. This value is positive which shows that the association between the variables is positive, increase in one leads to increase in the other and vice versa. Also the value shows that the relationship is fairly strong.

8 0
3 years ago
(-20,-4), (-12, -10)<br> find the slope
love history [14]

Answer:

-6/8

Step-by-step explanation:

The slope formula is y2-y1

                                   ____

                                     x2-x1

In the ordered pair (-20,4)

-20 is x1 the first x and 4 is x1

-12 is the x2 i.e. 2nd point and -10 is y2 i.e. 2nd point on y axis

so we plug in the value to the formula -10-(-4)      two negatives become +

                                                                _____

                                                                -12-(-20)

                                                                                                                                       

                                                         so -10+4            -6                6

                                                                 ____   =    ___  =   -      _

                                                                  -12+20      8                   8

(remember  you subtract and the signs are different you subtract and use the sign of larger number)

5 0
3 years ago
Need help please with this question. Thank you:)
adell [148]

Answer:

\hat y = 2*10 -4= 16

And the real value for this case is y=14. The residual is defined as:

e= y -\hat y

Replacing we got:

e = 14 -16 = -2

And the best answer would be:

-2

Step-by-step explanation:

For this case we know that the best fit line for the relationship between x and y is given by:

\hat y = 2x-4

And we know that an  individual in the dataset has a score of 10 on the x-variable and a score of  14 on the y-variable. So then we can find the estimated value like this:

\hat y = 2*10 -4= 16

And the real value for this case is y=14. The residual is defined as:

e= y -\hat y

Replacing we got:

e = 14 -16 = -2

And the best answer would be:

-2

5 0
4 years ago
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