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EastWind [94]
3 years ago
9

For A = {a,b}, determine A x P(A).

Mathematics
1 answer:
alex41 [277]3 years ago
6 0

Answer:

Since A={a,b}, then P(A)=\{\emptyset, \{a,b\}, \{a\}, \{b\}\}. Remember that the Cartesian Product of two sets A, B is defined by

A\times B=\{(x,y): x\in A \text{ and } y\in B\}. Then

A\times P(A)=\{(a,\emptyset),(a,\{a,b\}),(a,\{a\}), (a,\{b\}), (b,\emptyset),(b,\{a,b\}),(b,\{a\}), (b,\{b\})\}

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What is 12.38 expanded in form
Lana71 [14]
12.38 in expanded form is write like:-

10 + 2 + .3 + .08 = 12.38

To write a number in expanded form just means to write the number in a layout and when you add it up it will become the number you needed to write in expanded form. 

So, 12.38 written in expanded form is:- 10 + 2 + .3 + 0.8

Hope i helped
3 0
3 years ago
Read 2 more answers
What is the vertex form, f(x) = a(x − h)2 + k, for a parabola that passes through the point (1, −7) and has (2, 3) as its vertex
kondaur [170]

Answer:

Vertex form: f(x) = -10(x − 2)^2 + 3

Standard form: y = -10x^2 + 40x - 37

Step-by-step explanation:

h and k are the vertex coordinates

Substitute them in the vertex form equation:

f(x) = a(x − 2)^2 + 3

Calculate "a" by replacing "f(x)" with -7 and "x" with 1:

-7 = a(1 − 2)^2 + 3

Simplify:

-7 = a(1 − 2)^2 + 3

-7 = a(-1)^2 + 3

-7 = a + 3

-10 = a

Replace a to get the final vertex form equation:

f(x) = -10(x − 2)^2 + 3

Convert to standard form:

y = -10(x − 2)^2 + 3

Expand using binomial theorem:

y = -10(x^2 − 4x + 4) + 3

Simplify:

y = -10x^2 + 40x - 40 + 3

y = -10x^2 + 40x - 37

6 0
3 years ago
Find the value of the x in the figure shown.
Vlada [557]

Answer:

22

Step-by-step explanation:

x + 90 + 68 = 180

x + 158 = 180

x = 22

7 0
2 years ago
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Find the 64th term of the following arithmetic sequence.<br> 6, 14, 22, 30,
olga55 [171]

Answer:

<h2>510</h2><h2 />

Step-by-step explanation:

30-22=8

22-14=8

14-6=8

then

→ the common difference r = 8

→ the first term = 6

THerefore, (accoriding to the standard explicit formula)

the 64th term = term 1 + (64 - 1)×r

                       = 6 + 63×8

                       = 510

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3 years ago
Next → Area and Circumference of a Circle: Mastery Test 1 Select the correct answer from each drop-down menu. If the radius of a
nexus9112 [7]

Answer:

The diameter is 7 inches and the area is 38.465. I got the answer by taking the area of a circle's formula which is  

pi r ^2

Step-by-step explanation:

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