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VLD [36.1K]
3 years ago
5

Find the distance between the two points (-4,4) and (1,0)

Mathematics
1 answer:
kykrilka [37]3 years ago
5 0

Answer:

The answer is

<h2>\sqrt{41}  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by

\sqrt{ ({x _{1} - x_{2} })^{2}  + ({y_{1} } - y_{2} )^{2}  }

where

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

So the distance between (-4,4) and (1,0) is

<h3>\sqrt{( { - 4 - 1})^{2}  + ( {4 - 0})^{2} }</h3><h3>=  \sqrt{ ({ - 5})^{2}  +  {4}^{2} }</h3><h3>=  \sqrt{25 + 16}</h3><h3 />

We have the final answer as

<h3>\sqrt{41}  \:  \:  \: units</h3>

Hope this helps you

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Answer:

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The table shows information about the number of sweatshirts sold and money collected at a fundraiser for school athletic program
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…………………………………………….not really sure about the last question

6 0
2 years ago
A data set consists of 2, 2, 3, 4, 5, 5, and 7. Then, 20 is added to the data set. The new value will have little effect on the
ale4655 [162]

Answer:

A data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have the little effect on the median, but it will raise the mean significantly.

Step-by-step explanation:

Since, we all know that the measures of central tendency are:

  1. Arithmetic Mean
  2. Median
  3. Mode
  4. Geometric Mean
  5. Harmonic Mean

Let us define Arithmetic Mean and Median.

Arithmetic mean is the sum of observations divided by the total number of observations. It is denoted by (x bar).

On the other hand, median of a distribution is that value of the variable which divides it into two equal parts.

For Arithmetic Mean:

According to the question, when data set consists 2,2,3,4,5,5 and 7, the arithmetic mean for the given data = 4

After adding 20 the given data set, the mean will be = 6

For median:

When data set consists of 2,2,3,4,5,5 and 7, the median value will be the middle value of the distribution i.e. = 4

After adding 20 to the given data set, the median will be = 4.5

Here we can say that 20 is an outlier for the given data set.

Since mean has the significant effect of the outlier because it is based on all values but the median has lesser effects of the outlier as it is based only on middle values. So whatever outlier is added to median, it will not show particular changes.

Thus , a data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have little effect on median, but it will raise the mean significantly.

6 0
2 years ago
Which solution set is graphed on the number line?
sashaice [31]

Answer:

Step-by-step explanation:

an open circle means it contains no equal signs.....everything to the left is shaded....means it is less then

x <  1 (thats a less then sign only) ....no equal sign in there

8 0
2 years ago
Read 2 more answers
If you graph 2y+8=6x^2-10x what will be the y intercept?
Rufina [12.5K]

Answer:

Y intercept will be -4.

Step-by-step explanation:

Here we are given our function as

2y+8=6x^2-10x

We are asked to determine the y intercept.

The y intercept is the y ordinate of the coordinates of the point at which the graph of the function intersects the y axis.

Please note that the point at which graph cuts the y axis have x=0

Hence in order to determine y intercept we need to put x=0 in our function and solve it for y :

2y+8=6x^2-10x2y+8=6x^2-10x

Putting x =0

2y+8=6x^2-10x2y+8=6(0)^2-10(0)

2y+8=6x^2-10x2y+8=0-10(0)

2y+8=6x^2-10x2y+8=0

subtracting both sides by 8

2y+8=6x^2-10x2y=-8

dividing both sides by 2

=-4

8 0
3 years ago
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