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bija089 [108]
2 years ago
15

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?

Mathematics
2 answers:
Thepotemich [5.8K]2 years ago
4 0
<span>Use the distance formula to find the length of each side and then add the lengths. 

Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel. 

Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular. 

Use the distance formula to find the length of the sides, and then multiply two of the side lengths.</span>
Elza [17]2 years ago
4 0

Answer and step-by-step explanation:

To find the perimeter of a figure, we add together the lengths of all of the sides.

To find the lengths of the sides, we would use the distance formula, plugging in 2 pairs of coordinates at a time, until we had all 4 distances.

We then would add together all 4 sides.

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How many distinct pairs of disjoint non-empty subsets of A are there, the union of which is all of A?
Mrac [35]
A = {1, 2, 5, 6, 8}
{1} U {2, 5, 6, 8} 
{2} U {1, 5, 6, 8} 
{5} U {1, 2, 6, 8} 
{6} U {1, 2, 5, 8} 
{8} U {1, 2, 5, 6} 
{1, 2} U {5, 6, 8} 
{1, 5} U {2, 6, 8} 
{1, 6} U {2, 5, 8}
{1, 8} U {2, 5, 6} 
{1, 2, 5} U {6, 8} 
{1, 2, 6} U {5, 8}
{1, 2, 8} U {5, 6}
{1, 5, 6} U {2, 8}
{1, 5, 8} U {2, 6}
{1, 6, 8} U {2, 5} 
The answer is 15 distinct pairs of disjoint non-empty subsets.
5 0
1 year ago
What is the horizontal asymptote of f (x) =StartFraction negative 2 x Over x + 1 EndFraction? y = –2 y = –1 y = 0 y = 1
miv72 [106K]

Answer:

  y = -2

Step-by-step explanation:

Any asymptotes of a rational function will be described by the quotient of the numerator and denominator (excluding any remainder).

  f(x)=\dfrac{-2x}{x+1}=-2+\dfrac{2}{x+1}

The horizontal asymptote is ...

  y = -2

8 0
2 years ago
Read 2 more answers
Twenty-one boys and eight girls go on a camping trip. In how many ways can a group of six be selected to gather firewood, given
lorasvet [3.4K]
(a)  there are 8C2  = 28 ways of picking 2 girls from 8
And there are  21C4  =  5985 ways of picking 4 boys

Required number of ways for 2g / 4b  = 28 * 5985 =  167,580 

(b) at least 2 girls means  combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or 
6 girls.

2g/4b  = 167,580 ways
3g/3b =  8C3 * 21C3 =  56 * 1330 = 74,480
4g/2b =  8C4* 21C2  =   70 * 210 = 14,700 
5g 1b = 8C5* 21 =  56*21 = 1176
6 girls  = 8C6 = 28

adding these up we get the answer to (b) which is  257,964

6 0
1 year ago
Estimate the sum of 196 and 482
k0ka [10]
The answer to this problem would be 700. if you need the sum that isnt estimated, its 678.
4 0
2 years ago
In? gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ra
erma4kov [3.2K]

Answer:

A) The probability that the event will occur=\frac{1}{7}

B)The probability that the event will not occur = \frac{6}{7}

Step-by-step explanation:

We are given that The odds of event occurring are 1:6.

So, Number of successful events = 1

Number of unsuccessful events = 6

So, Total events = 6+1=7

a)the probability that the event will occur=\frac{\text{Favorable event}}{\text{Total event}}

The probability that the event will occur=\frac{1}{7}

b)The probability that the event will not occur =\frac{\text{Favorable event}}{\text{Total event}}

The probability that the event will not occur = \frac{6}{7}

5 0
1 year ago
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