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3 years ago

Which of the following sets represent A U B?

Mathematics

2 answers:

Black_prince [1.1K]3 years ago

5 0

Answer:

{2,3,4,6,8,9,10,12}

Step-by-step explanation:

The union of two sets is a new set that contains all of the elements

A U B = {2,3,4,6,8,9,10,12}

Vlad [161]3 years ago

3 0

Answer:

(6,12)

Step-by-step explanation:

The venn diagram shows 4 groups.

there are the numbers that represent A (3, 9)

and the numbers that show B (4, 2, 8, 10)

The ones that show C (1, 5, 7, 11)

And the ones that are both A and B (6, 12)

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Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)

prohojiy [21]

Answer:

$x^2 + y^2 = 52$

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$ . The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Equation of a circle:

The equation of a circle with center $(x_0,y_0)$ and radius r has the following format:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

Center at the origin;

This means that $x_0 = 0, y_0 = 0$

$(x - x_0)^2 + (y - y_0)^2 = r^2$

$(x - 0)^2 + (y - 0)^2 = r^2$

$x^2 + y^2 = r^2$

Passes through (4, 6)

The radius is the distance from this point to the center. So

$r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r = \sqrt{(4-0)^2+(6-0)^2}$

$r = \sqrt{16+36}$

$r = \sqrt{52}$

$r^2 = 52$

Then

$x^2 + y^2 = r^2$

$x^2 + y^2 = 52$

8 0

3 years ago

Dominique buys $14.95 worth of gasoline for her car. If the gas station charges $1.43 per gallon, how many gallons did she get?

Zolol [24]

Answer:

$10.45

Step-by-step explanation:

14.95 divided by 1.43 = 10.50

5 0

3 years ago

Read 2 more answers

What does 5/8 + 4/5 equal as a fraction

Tpy6a [65]

Answer:

1 17/40

Step-by-step explanation:

5/8+4/5

We need to get a common denominator of 40

5/6 * 5/5 = 25/40

4/5*8/8 =32/40

25/40 + 32/40 = 57/40

57/40 = 40/40 + 17/40 = 1 17/40

7 0

3 years ago

Read 2 more answers

Name the property the equation illustrates.<br> (ab)3 = a (63)<br> Accociative Property of addition

Delvig [45]

<h3><u>Question:</u></h3>

Name the property the equation illustrates

(ab)3 = a(b3)

A. Commutative property of addition

B. Associative property of Multiplication

C. Associative Property of Addition

D. Inverse Property of Multiplication

<h3><u>Answer:</u></h3>

Associative property of Multiplication

<h3><u>Solution:</u></h3>

From given equation

(ab)3 = a(b3)

We have to find the property used here

We find the brackets are interchanged

So here, given is a multiplication equation

Therefore, Associative property of Multiplication is used

<h3><u>Associative property of Multiplication:</u></h3>

This property says that when we are multiplying it does not matter where you put the parenthesis

The result will be same wherever we put the parenthesis in multiplying two or more numbers

Which means,

$a \times (b \times c) = (a \times b) \times c$

Therefore, from given,

$a \times (b \times 3) = (a \times b) \times 3$

Thus associative property of multiplication is used

8 0

4 years ago

Is (5,-4) a solution to the linear inequality <br> 2x - 3y is less than or equal to 7

grandymaker [24]

To check, plug the x and y values into the inequality

2x-3y<u><</u>7
2(5)-3(-4)<u><</u>7
10+12<u><</u>7
22<u><</u>7

Clearly, 22 is not less than or equal to 7, so this point is <u>not</u> a solution to the linear inequality

5 0

4 years ago