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3 years ago

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

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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

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3 years ago

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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.

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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:

Step-by-step explanation:

Factors B, C and E are totally irrelevant.

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3 years ago

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