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snow_tiger [21]
3 years ago
7

There are 12 people in an office with 3 different phone lines. If all the lines begin to ring at once, how many groups of 3 peop

le can answer these lines
Mathematics
1 answer:
viva [34]3 years ago
8 0

Answer: the required answer is 1320

Step-by-step explanation:

Total people = 12

Different phone lines = 3

We will choose the person to answer the first phone in 12 ways.

Then choose the second person in 11 ways. (11 people left)

Then choose the third person in 10 ways.  ( 10 people left)

The number of groups of 3 people can answer these lines12 \times11\times10=1320

Hence, the required answer is 1320

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Determine the number of solutions, y=x+2 and x=-1
anyanavicka [17]

There is only one solution.

y = x+2

x = -1

Substitute x = -1  in y = x+2

y=-1+2

y = 1

We only get the single value of y and x so It's clear that there's only one solution.

4 0
3 years ago
Point c’(-4,-3) is the same image of C(-2,-3) under a translation
vivado [14]

Answer:

the translation is to the left 2 times

Step-by-step explanation:

-2-2=-4

there is no changes to the y value

6 0
3 years ago
30 POINTS AVAILABLE
kherson [118]

Answer:

\large\boxed{(x-2)^2+(y-1)^2=34}

Step-by-step explanation:

The equation of a circle in standard form:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

Substitute:

h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

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

Substitute the coordinates of the points (2, 1) and (5, -4):

r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}

Finally we have:

(x-2)^2+(y-1)^2=(\sqrt{34})^2

3 0
4 years ago
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garik1379 [7]

Answer:

v = -9

Step-by-step explanation:

ur welcome

5 0
3 years ago
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Consecutive interior theorem

X+96+96+x= 180
2x+192=180
2x= -12
X=-6
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3 years ago
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