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Citrus2011 [14]
3 years ago
5

Five people are at a party. Everyone shakes hands once with everyone else. How many handshakes are there? Show your

Mathematics
2 answers:
blagie [28]3 years ago
7 0

Answer:

10

Step-by-step explanation:

1 2 3 4 5

1 shakes hands with 2,3,4,5

2 shakes hands with 3,4,5 but not with 1 because they already shook hands once

similarly, 3 only shakes hands with 4 and 5, same reason as abov

4 with 5 only, same reason

antiseptic1488 [7]3 years ago
3 0

Answer:

10

Step-by-step explanation:

Let the people be represented by numbers (1,2,3,4,5)

-- now 1 shakes hands with the remaining 4, (i.e 2,3,4,5)

-- 2 shakes hands with the remaining 3 (i.e 3,4,5) as it has already shaken hands with 1

-- 3 shakes hands with the remaining two  and so on

If you recognize the pattern there are 4+3+2+1 handshakes that have taken place, or 10 handshakes

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Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)
LenaWriter [7]

Answer:

The slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points

  • (-1, -2)
  • (3, 4)

Determining the slope between (-1, -2) and (3, 4)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)

m=\frac{4-\left(-2\right)}{3-\left(-1\right)}

m=\frac{3}{2}

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

4=\frac{3}{2}\left(3\right)+b

switch sides

\frac{3}{2}\left(3\right)+b=4

\frac{9}{2}+b=4

subtract 9/2 from both sides

\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}

b=-\frac{1}{2}

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

y = mx+b

y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)

y=\:\frac{3}{2}x\:-\frac{1}{2}

Therefore, the slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}
8 0
2 years ago
What is true about the graphs of y = x^2 – 2 and y = x^2 + 2?
ASHA 777 [7]

Answer:

Graphs behave differently at various x-inter cepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Suppose, for example, we graph the function. f(x) = (x+3)(x - 2)²(x+1)³.

Notice in the figure below that the behavior of the function at each of the x-intercepts is different.

6 0
3 years ago
Who in this list would NOT request a copy of your credit report?
mrs_skeptik [129]

Answer:

a grocery store

Step-by-step explanation:

it seems strange that most of those would request a report card at all

6 0
3 years ago
- 7 - w <10 what is the answer
sesenic [268]
-7-w<10
Add 7 to each side
-w<17
Change signs and flip sign
w>17

Hope this helps :)
3 0
3 years ago
How many times dose 28 go into 6
Ivan

6 goes 4 times into 28 because 6 x 4 = 24

3 0
3 years ago
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