Write an addition equation or a subtraction equation (your choice) to describe the diagram

Multiply the following <br> Provide in standard form :)

Nady [450]

Answer: See my work

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Define the sets A, B, C, and D as follows:

Angelina_Jolie [31]

Answer:

(a) A∪B = {-12,-5,-3, 0, 1, 4, 6, 17}

(b) A∩B = {1,4}

(c) A∩C = {-3,1,17}

(d) A ∪ (B ∩ C) = {-5,-3,0,1,4,17}

(e) A ∩ B ∩ C = {1}

(f) A ∪ C, the set is infinite.

(g) (A ∪ B) ∩ C = {-5,-3,1,17}

(h) A ∪ (C ∩ D), the set is infinite.

Step-by-step explanation:

(a) Recall that the union of A and B is the set that contains all the elements that are in A or in B, and that in set notation no repetitions are allowed, so we can only write 1 once.

(b) Recall the the intersection of A and B is the set formed by the elements that are in A and B at the same time. In this case, only 1 and 4 satisfy that condition.

(c) In this case we list only the elements in A that are odd.

(d) In this case we perform first the operation B ∩ C={-5}. Then, we perform A∪{-5}.

(e) Recall that set operations are associative, so A ∩ B ∩ C = (A ∩ B )∩ C. As we have calculated A∩B = {1,4}, we only need to find the odd numbers, which is only 1.

(f) The set is infinite because C is infinite. Recall that the union of an infinite set with any other, is infinite too. In plain words, when we perform a union of set we are adding elements.

(g) These are the elements that are in A ∪ B and are odd too.

(h) Notice that the set C ∩ D is infinite, because is formed by the positive odd integers. So, its union with any other set is infinite too.

8 0

3 years ago

Find the lengths of the sides of the rectangle if it is known that one of them is 14cm bigger than the other, and the diagonal o

slega [8]

Let's call the smaller side $s$ . This means that the other side of the rectangle is $s + 14$ .

In this problem, we are trying to find the lengths of the sides. The problem gives us someinformation about the sides, but that's really it. However, the problem also let's us know that the diagonal of the rectangle (the line connecting opposite corners of the rectangle) is 34 cm long.

This fact is very important, because we can actually make a triangle, with the smaller side, bigger side, and the diagonal of the rectangle. Additionally, since we are working with rectangles, we know that the sides form a right angle. Since we are constructing a triangle with the sides as the legs, we know that we are going to be constructing a right triangle, which means that we can work with Pythagorean's Theorem.

Remember that Pythaogrean's Theorem is:

$a^2 + b^2 = c^2$