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Kaylis [27]
2 years ago
9

Using the Distance Formula

Mathematics
1 answer:
Leokris [45]2 years ago
7 0

Answer:

Step-by-step explanation:

since I did 1 already ,  i'll do 2 - 6 .. fast

using the formula for distance  =  sq rt [ (x2 - x1 ) ^2  + (y2 - y1 ) ^2 ]

2)  sq rt [ (6-1)^2 +  (14-2)^2

sq rt [ 25 + 144]

sq rt [ 169]

13

3) sq rt [ (15 - 8)^2 + (35-11)^2 ]

sq rt [ 49 + 576 ]

sq rt [625]

25

4) sq rt [ ( -5 -3 )^2 + (-7 - 8)^2 ]

sq rt [ 64 + 225]

sq rt [ 289]

17

5) sq rt [(-1-(-2))^2 + (-4-(-3))^2]

sq rt[ (-1+2)^2 + (-4+3)^2]

sq rt [ 1 + 1 ]

\sqrt{2}

6) sq rt [ 3-(-3)^2 + (5-5)^2]

sq rt [ (3+3)^2 + 0]

sq rt [ 9 ]

3

:)  phew....  :P

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What are the relative frequencies, to the nearest hundredth, of the rows of the two-way table?
sveta [45]

Answer:       A                 B

Group 1     0.25          0.75

Group 2    0.44          0.56

Step-by-step explanation:

Since we have given that

Number of people of A in group 1 = 15

Number of people of B in group 1 = 45

Total number of people in group 1 is given by

15+45=60

Relative frequency of people of A in Group 1 is given by

\frac{15}{60}=0.25

Relative frequency of people of B in Group 1 is given by

\frac{45}{60}=0.75

Similarly, Number of people of A in group 2 = 20

Number of people of B in group 2 = 25

Total number of people in group 2 is given by

20+25=45

Relative frequency of people of A in Group 2 is given by

\frac{20}{45}=0.44

Relative frequency of people of B in Group 2 is given by

\frac{25}{45}=0.56

Hence,        A                 B

Group 1     0.25          0.75

Group 2    0.44          0.56

6 0
3 years ago
A man ran 20 miles in 2 hours. Calculate the average time that it took the man to run each mile in minutes.
konstantin123 [22]

Answer:

he ran 3 miles in 8 mins

Step-by-step explanation:

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2 years ago
Simplify. 3(x+2y)+5x−y+1
Fudgin [204]
<span> 3(x+2y)+5x−y+1
Use distributive property
3x+6y+5x-y+1
Add 5x to 3x
8x+6y-y+1
Subtract y from 6y
Final Answer: 8x+5y+1</span>
3 0
3 years ago
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An angle measures 61º. What is the measure of its supplement? HELP ME PLEASE
Irina-Kira [14]
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3 years ago
Perform the indicated operation. X^3+43-49x-7x^2 divides by x^2-49
BaLLatris [955]

Answer:

The quotient is: x-7

and remainder is : -300

Step-by-step explanation:

We need to divide X^3+43-49x-7x^2 by x^2-49

First arrange the term  X^3+43-49x-7x^2 in terms of ascending order of x.

Arranging we get:

x^3 - 7x^2 -49x + 43 \  x^2-49

The division steps are shown in figure attached.

The quotient is: x-7

and remainder is : -300

4 0
3 years ago
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