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Studentka2010 [4]
3 years ago
13

What is the distance between these set of points? (-2,-3) and (3,4)

Mathematics
1 answer:
goldenfox [79]3 years ago
4 0

Step-by-step explanation:

apply distance formula

distance = ±√(4--3)^2 + (3--2)^2 = ±√74 (rej - value since distance > 0)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

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A political polling organization wishes to select a smaller focus group from a group of 7 Republicans, 10 Democrats, and 2 Indep
Alina [70]

Answer:

a) 1470 ways

b) 2835 ways

Step-by-step explanation:

the question is not correct, in the correct question The number of independents should be 3 not 2

there are 7 republicans, 10 democrats and 3 independents.

C(n,r) is the number of different combinations of n distinct objects taken r at a time.

C(n,r) = \frac{n!}{(n-r)!r!}

a) it will consist of 1 Republican and 4 Democrats

The number of ways this can be chosen is = C(7,1) × C(10,4) = \frac{7!}{(7-1)!1!}  * \frac{10!}{(10-4)!4!} = 7 × 210 = 1470 ways

(b) it will consist of 2 Republicans, 2 Democrats, and 2 Independents (consist of 2 independents not 3)

The number of ways this can be chosen is = C(7,2) × C(10,2) × C(2,2)

 =\frac{7!}{(7-2)!2!}  * \frac{10!}{(10-2)!2!}* \frac{3!}{(3-2)!2!} = 21 × 45 × 3 = 2835 ways

7 0
3 years ago
Find the perimeter of the polygon with the given vertices. C(4, -1), D(4,−5), E(2,−3)
Aleksandr [31]

Answer:

8 units

Step-by-step explanation:

find the distance of the lines through coordinates given

distance formula: \sqrt{(x_{1}-x_{2})+(y_{1} -y_{2} )  }

i) CD=\sqrt{(4-4)^2 +(-1+5)^2}

  CD=\sqrt{0+4^2}

  CD=4 units

ii) DE=\sqrt{(4-2)^{2}+(-5+3)^2 }

 DE=\sqrt{(2)^2+(-2)^2}

 DE=\sqrt{8}

 DE= 2 units

iii) ED=\sqrt{(2-4)^2+(-3+1)^2}

   ED=\sqrt{(-2)^2+(-2)^2}

   ED=\sqrt{8}

   ED= 2 units

perimeter of polygon= 2 units+ 2 units+ 4 units

                                  =8 units

4 0
3 years ago
The difference between x and 4 is greater than 14.
VikaD [51]

Answer:

the answer is any number above 18

3 0
3 years ago
Read 2 more answers
If BOTH equations are in slope-intercept form then the--------------? method would be best, but the------------? method would al
nadezda [96]

Answer:

Step-by-step explanation:

If BOTH equations are in slope-intercept form then the-graphing-? method would be best, but the-substitution-? method would also be effective since both y's are already by itself.

If ONE of the equations is solved for x or y and the other equation is not, then the-substitution-? method is best.

If BOTH equations are lined up in standard form & the coefficients of x or y are opposites then the BEST method is definitely the-elimination--? method.

If BOTH equations are lined up in standard form the elimination method would be best. But if the coefficient of x or y is 1, then the-substitution--? method is also effective.

5 0
3 years ago
Select the correct answer. A report on Americans’ attitudes toward eating out found that 73% of the respondents to the survey up
LenaWriter [7]

Answer:

D

Step-by-step explanation:

Factors B, C and E are totally irrelevant.

8 0
3 years ago
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