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natka813 [3]
2 years ago
14

If M= {m, a,t} how many subsets of M are there?

Mathematics
1 answer:
Mila [183]2 years ago
6 0

Answer:

8 {m},{a},{t},{m,a},{m,t},{a,t},{m,a,t},{}

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Please hurry!!!! 20 pts
Ivahew [28]

The slope for is JK 1/3 , the slope of LK is -2 , the slope of ML is 2/5 , and the slope of MJ is 3/2 . Quadrilateral JKLM is not a parallelogram because neither pair of opposite sides is parallel

Further explanation:

Given vertices are:

J(−4, 1) , K(2, 3) , L(5, -3) , and M(0, −5) .

We have to find the slopes before concluding any result

The formula for slope is:

m=\frac{y_2-y_1}{x_2-x_1}

So:

<u>Slope of JK:</u>

m_1=\frac{3-1}{2-(-4)}\\=\frac{2}{2+4}\\=\frac{2}{6}\\=\frac{1}{3}

<u>Slope of LK:</u>

m_2=\frac{-3-3}{5-2}\\=\frac{-6}{3}\\=-2

<u>Slope of ML:</u>

m_3=\frac{-3-(-5)}{5-0}\\=\frac{-3+5}{5}\\=\frac{2}{5}

<u>Slope of MJ:</u>

m_4=\frac{1-(-5)}{-4-0}\\=\frac{1+5}{-4}\\=\frac{6}{-4}\\=-\frac{3}{2}

As the slopes of all sides are different, the given quadrilateral is not a parallelogram because in order for the quadrilateral to be a parallelogram the opposite sides have to be parallel i.e. have equal slopes and there are no sides with equal slopes.

Keywords: Parallelogram, Quadrilateral

Learn more about quadrilateral at;

  • brainly.com/question/5191807
  • brainly.com/question/5312408

#LearnwithBrainly

6 0
2 years ago
Perimeter of an isosceles triangle is 35 cm if the length of a the congruent sides is 3 times the length of the third side what
Dimas [21]

Let the length of the shortest side = x

The two longer sides that are equal = 3x

The are two equal longer sides, so their total is 3x + 3x = 6x

3x+ 3x + x= 35  Collect like terms on the left

7x = 35               Divide by 7  on both sides

x = 35/7

x = 5

Answer

Two long sides -- 15 cm each

Shortest side -- 5 cm

5 0
3 years ago
Use the following information to complete parts I, II, and III. 1 hour=3600 seconds
icang [17]

Answer:

I) There are 8.760\times 10^3 hours in 1 year.

II) The exact number of hours in one year is 8.76582\times 10^3 hours.

Step-by-step explanation:

Given : 1 hour=3600 seconds

1 year = 31556952 seconds.

To find :

I)  Use scientific notation to estimate the number of hours in one year.

1 day = 24 hours

1 year = 365 days

So, number of hours in one year is given by,

n=24\times 365

n=8760

In scientific notation,

8760=8.760\times 10^3

So, there are 8.760\times 10^3 hours in 1 year.

II) 1 year = 31556952 seconds.

1 hour = 3600 seconds

In one year the number of hour is given by,

n=\frac{31556952}{3600}

n=8765.82

In scientific notation,

8765.82=8.76582\times 10^3

So, the exact number of hours in one year is 8.76582\times 10^3 hours.

III) In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences.

  • The exact numbers of hours using 365 days is 8760 which is written as 8.760\times 10^3 in scientific notation but using the given data we get 8.76582\times 10^3 hours.
  • Comparing these answers the first one has only 3 significant figures and the second answer has six significant figures.
  • If we round these we get 8.8\times 10^3 hours which has two significant numbers.
8 0
3 years ago
The weather forecast for next season calls for a 10% chance of wind, a 20% chance of rain, a 30% chance of clouds, and a 40% cha
damaskus [11]

wind is predicted for 9 of the days.

rain is predicted for 18 of the days.

cloudiness if predicted for 27 of the days.

sunshine of predicted for 36 of the days.


4 0
2 years ago
Read 3 more answers
Margaret went to the convenience store and purchased 4 cans of cola for 2.76. how many cans could she have purchased at the same
liq [111]
The answer would be 19 cans
7 0
3 years ago
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