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Klio2033 [76]
3 years ago
12

Find the distance between the points (-6, -8) and (0, -10).

Mathematics
1 answer:
inn [45]3 years ago
5 0

Answer:

2√10

Step-by-step explanation:

-√(x2-x1) squared +(y2-y1) squared

-√(0-(-6)) squared +(-10-(-8)) squared

- simplify and get 2√10 which you can simply further to 6,32( rounded off to two decimal places)

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so like -3,-2,-1,0,1,2,3

a natural number is always an integer
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kifflom [539]

Answer: x ≥ -4 (in words: x is greater than or equal to -4)

Step-by-step explanation:

The number line shows all values greater than -4 being shaded in, meaning that x can be any of them.  In addition, the point at -4 itself is shaded in, showing that it is also a possible value for x.  

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PLSSS HELPPPP!!!!!! ITS DUEEE TODAYYYY !!! FIND THE VALUE OF X.
LekaFEV [45]

\huge\bold{To\:find :}

The value of x°.

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

The value of x° is 150°. ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

We know that,

\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:= \:180°}

➡ 81° + y° = 180°

➡ y° = 180° -81°

➡ y° = 99°

Since an exterior angle of a triangle is equal to the sum of the two opposite interior angles, we have

x° = y° + 51°

Substituting the value of ''y°" in the above equation,

➪ x° = 99° + 51°

➪ x° = 150°

\sf\red{Therefore, \:the\: value \:of \:x°\: is \:150°.}

<u>Note</u>:-

Kindly refer to the attached file.

{\boxed{\mathcal{\blue{Happy\:learning .}}}}

4 0
3 years ago
Consider the following sample set of scores. Assume these scores are from a discrete distribution. 21 29 32 38 38 45 50 64 72 10
ASHA 777 [7]

Answer:

Original data: 21 29 32 38 38 45 50 64 72 100

\bar X = \frac{21+29+32+38+38+45+50+64+72+100}{10}=48.9

Mode =38.

Median = \frac{38+45}{2}=41.5

Change 1: 2 29 32 38 38 45 50 64 72 100

\bar X = \frac{2+29+32+38+38+45+50+64+72+100}{10}=47

Mode =38.

Median = \frac{38+45}{2}=41.5

Change 2: 29 32 38 38 45 50 64 72 100

\bar X = \frac{29+32+38+38+45+50+64+72+100}{9}=52

Mode =38.

Median = 45

Step-by-step explanation:

Original data: 21 29 32 38 38 45 50 64 72 100

The mean is calculated with the following formula:

\bar X = \frac{\sum_{i=1}^{10} X_i}{10}

And if we replace we got:

\bar X = \frac{21+29+32+38+38+45+50+64+72+100}{10}=48.9

The mode is the most repeated value in the sample and on this case is Mode =38.

Since we have an even number of points the median is calculated as the average between the observations 5 and 6 from the dataset ordered.

Median = \frac{38+45}{2}=41.5

Change 1: 2 29 32 38 38 45 50 64 72 100

The mean is calculated with the following formula:

\bar X = \frac{\sum_{i=1}^{10} X_i}{10}

And if we replace we got:

\bar X = \frac{2+29+32+38+38+45+50+64+72+100}{10}=47

The mode is the most repeated value in the sample and on this case is Mode =38.

Since we have an even number of points the median is calculated as the average between the observations 5 and 6 from the dataset ordered.

Median = \frac{38+45}{2}=41.5

Change 2: 29 32 38 38 45 50 64 72 100

Now the sample size is 9 instead of 10

The mean is calculated with the following formula:

\bar X = \frac{\sum_{i=1}^{9} X_i}{9}

And if we replace we got:

\bar X = \frac{29+32+38+38+45+50+64+72+100}{9}=52

The mode is the most repeated value in the sample and on this case is Mode =38.

Since we have odd number of points the median is calculated from the 5 position of the dataset ordered.

Median = 45

7 0
4 years ago
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