It is given that A = {1, 2, 3, 4, 7} and B = {2, 4, 8, 10).
(i) List all the elements in A∩B in set notation.
(ii) Draw a Venn diagram to represent the sets A and B. ​

Answers

Answer 1
Answer:

Answer:

(i) A∩B = {2,4}

(ii) I don't know how to attach pictures in brainly so i can't send the veen diagram


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9. If the area of a rectangle measures 20 square inches, the side lengthsmust be 4 inches and 5 inches.
Two lines, C and D, are represented by the equations given below:Line C: y = x + 14 Line D: y = 3x + 2 Which of the following shows the solution to the system of equations and explains why? (5 points) (6, 20), because both lines pass through this point (6, 20), because the point does not lie on any axis (3, 11), because one of the lines passes through this point (3, 11), because the point lies between the two axes
23 5/8 - 12 3/8 =.12.11 2/16.1111 2/8
A sphere has a volume of 1296in^3. find it???s surface area

What's the product of 6 x 6 x 6 x 6 x 6 in exponential form?

Answers

Answer: Exponent Form:  6^5

stander form: 6*6*6*6*6=7776

Step-by-step explanation:

∠A and ∠B are supplementary. If m∠A = 83° , what is the measure of ∠B?
83°
97°
17°

Answers

suplementary means adds to 180
a+b=180
a=83
83+b=180
minus 83 both sidse
b=97

answer is 97 degrees

Answer:

it is 17 d

Step-by-step explanation:

Use complete sentences to describe how measurements of position in two directions (vertical and horizontal) are sufficient enough to describe the position of an object on a flat surface

Answers

Answer:

We know that our world is in 3 dimensions i.e. there are three directions and so, three co-ordinates are required.

Now, if we have to find a position of an object lying on a flat surface, this means that there are only two directions and so, two co-ordinates are needed.

So, we can define the domain ( xy-axis ) in such a way that there are two axis - horizontal where right area have positive values & left area has negative values and vertical where upward side have positive values & downward side has negative values.

For e.g. if we want to find the position of a pen on the table. We will make our own xy-axis and see in which quadrant the pen lies.

Let us say that the pen lies at (2,3), this means that the position of pen is in the first quadrant or it is 2 units to the right of y-axis and 3 units up to the x-axis.

This way we can see that two directions are sufficient to find the position of an object placed on a flat surface.

Final answer:

Position of an object on a flat surface can be adequately described using measurements in the vertical and horizontal directions from a certain reference point. This concept is inherent in the use of vector quantities in physics which allow us to describe motion in two perpendicular directions.

Explanation:

To describe the position of an object on a flat surface, we can use two measures: the vertical and horizontal displacement from a certain reference point. This reference point is often called the origin in a Cartesian coordinate system, which is a type of frame of reference.

Let's imagine you're looking at a map. If we want to specify a location on that map, we can describe it in terms of its distance east (or west) and north (or south) from a particular point. This technique uses horizontal and vertical measurements to describe the position.

This concept is inherent in the idea of vector quantities. In two dimensions, a vector describes motion in two perpendicular directions, such as vertical and horizontal. The principle that motions along perpendicular axes are independent allows us to analyze these two directions separately. Each vector in this context has vertical and horizontal components, and the length of the vector (representing the object's total displacement) is calculated based on these two components.

Learn more about Position Measurement here:

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What is the factor of 16^2-81

Answers

this is the diffiarence of two perfect squares. this should be memorised, but if not here it is

a^2-b^2=(a-b)(a+b)
so 16^2-81=16^2-9^2
so the answer is (16-9)(16+9)

Transform the polynomial into a perfect square trinomial to solvex^2-12x=13
a){46,55}
b){-1,13}
c){-15,27}
d){-21,33}

Answers

If you would like to solve x^2 - 12 * x = 13, you can do this using the following steps:

x^2 - 12 * x = 13
x^2 - 12 * x - 13 = 0
(x - 13) * (x + 1) = 0
1. x = 13
2. x = -1

The correct result would be b) {-1, 13}.

Enter the value of p so the expression 5/6 - 1/3n is equivalent to p(5-2n).

Answers

Let's solve for p when the two expressions are equal.

p(5-2n)=\frac{5}6 - \frac{1}3n  \n\n p=\frac{\frac{5}6-\frac{1}3n}{5-2n}*\frac{6}6= (5-2n)/(6(5-2n)) = \boxed{\frac{1}6}