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Serjik [45]
3 years ago
15

On a coordinate plane, point M is plotted (-3,-1) and point N is plotted (4,5). What is the distance between points M and N? squ

are root of 117 square root of 85 5 square root of 17 85
Mathematics
1 answer:
Mice21 [21]3 years ago
4 0

Answer:

The square root of 85

Step-by-step explanation:

The formula to find out the distance between the points is shown below:

The Distance is

= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

where,

x_1 = -3

y_1 = -1

x_2 = 4

And, the y_2 = 5

Now place these values to the above formula

So, the distance is

= \sqrt{(4+3)^2 + (5+1)^2} \\\\= \sqrt{49 + 36}  \\\\= \sqrt{85}

= 9.22 units

Hence, the distance between points M and N is 9.22 units or the square root of 85

Hence, the second option is correct

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Find the slope of the line that passes through the points (–1, 6) and (2, 15)
11111nata11111 [884]

Answer:

m=3

Step-by-step explanation:

\frac{15-6}{2-(-1)} =\frac{9}{3} =3

7 0
3 years ago
Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies tha
Angelina_Jolie [31]

The total number of cookies baked by grandma = 96

Number of grandchildren = 8

As given, all cookies were evenly divided among 8 children, let us assume that everyone except Cindy got equal share. So on being divided equally, it becomes, \frac{96}{8}=12 cookies per children.

But, as mentioned that Cindy received 'c' cookies less, so let us suppose Cindy received 'x' cookies.

Expression becomes: x=12-c

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6 0
3 years ago
Given that sin theta = 1/4, 0
GaryK [48]
Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

(cos \alpha )^2 + (sin \alpha )^2 =1

2) From which you can find:

(cos \alpha )^2 = 1 - (sin \alpha )^2

3) Replace sin(α) with 1/4

=> (cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16

=> cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = \sqrt{15} /4.

And that is the answer.
6 0
3 years ago
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coldgirl [10]

Answer:

Nominal

Step-by-step explanation:

There are four levels of measurement of data listed below in increasing order:

Nominal

Ordinal

Interval

Ratio

The nominal level of measurement is the lowest level that deals with names, categories and labels. It is a qualitative expression of data e.g Colors of eyes, yes or no responses to a survey, and favorite breakfast cereal all deal with the nominal level of measurement.

Data at this level can't be ordered in a meaningful way, and it makes no sense to calculate things such as means and standard deviations.

5 0
3 years ago
Eric returned from a trip with 300 which is 50% more money than he had at the beginning of his trip how much money did Eric have
solong [7]

he had 150.

Step-by-step explanation:

i cant explain

6 0
2 years ago
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