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kifflom [539]
2 years ago
6

Determine the cardinality of each set.

Mathematics
1 answer:
krek1111 [17]2 years ago
5 0

The cardinality of a set refers to the number of elements in the set. It is found by counting  the elements in the set.

<h3>What is cardinality of a set?</h3>

The cardinality of a set refers to the number of elements in the set. To obtain the cardinality, we have to count the elements in the set.

a) There are 6 elements in this set hence the cardinality is 6.

b) There is only one element in the set hence its cardinality is 1.

c) There are two elements in the set hence the cardinality is 2.

Learn more about cardinality of a set:brainly.com/question/19257002

#SPJ1

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yKpoI14uk [10]

A binomial squared is written like

x^2+2ax+a^2

So, we have 2a=6 \iff a=3

So, we want to complete the square (x+3)^2 = x^2+6x+9

We can add and subtract 9 to write

x^2+6x = x^2+6x+(9-9) = (x^2+6x+9)-9 = (x+3)^2-9

5 0
3 years ago
What is the correct answer to x^2+y^2+4x-2y=-1
alexdok [17]

Answer:

hold on the answer in the picture

Step-by-step explanation:

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5 0
3 years ago
The sum of four consecutive
Firdavs [7]

Answer:

42 is the smallest of the 4 numbers.

Step-by-step explanation:

The 4 consecutive integers that total 174 are 42,43,44, and 45. Therefore, 42 is the smallest out of all 4 integers.

4 0
3 years ago
a tree casts a shadow 8 feet long. A 6-foot Man cast a shadow 4 feet long. The triangle formed by the tree and its shadow is sim
Elden [556K]

Answer:

12 feet

Step-by-step explanation:

Draw a diagram (see picture below). The tree and its shadow is one triangle, the man and its shadow is another triangle. We assume both are right triangles because people and trees stand vertical.

Create a proportion to solve. Put the missing value in a numerator.

Tree height / Tree shadow = Man height / Man shadow

\frac{x}{8} =\frac{6}{4}

Solve using cross multiplication. Multiply x by 4. Multiply 6 by 8.

4x = 48    Divide both sides by 4 to isolate x.

x = 12       Height of tree

The tree is 12 feet tall.

4 0
3 years ago
What is the value of tan(theta)?
Elodia [21]

Answer:The tangent function is negative in the second and fourth quadrants. To find the second solution, subtract the reference angle from  

π

π

to find the solution in the third quadrant.

Step-by-step explanation:

8 0
3 years ago
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