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3 years ago

Graph x2 + 9y2 = 25. What are the domain and range? Someone please help me ! (Picture below)

Mathematics

1 answer:

pishuonlain [190]3 years ago

5 0

X^2 + 9y^2 = 25
x^2/5^2 + (3y)^2/5^2 = 1

This represent an equation of an ellipse with cente at the origin, the horizontal major axis running from -5 to 5 and vertical minor axis running from -5/3 to 5/3

The third graph is the correct answer.

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One piece of pizza has been removed from a large pizza pie. The shaded area shown represents the piece that has been removed.

shusha [124]

Answer:

Step-by-step explanation:

i would love to help but you need to include either the measurement or a screen shot/picture of the equation.

4 0

4 years ago

Mr. Montes is writing a short, three-question, true or false quiz for his Algebra 2 classes. He had planned on using a random an

belka [17]

Answer:

There are 4 questions to answer here and the answers are given below:

1. COMBINATION

2. SET 2

3. {S2, S3, S4, S5}

4. { } OR ∅

Step-by-step explanation:

The key topics here are PERMUTATION & COMBINATION and SETS & VENN DIAGRAMS.

The assignment has 5 questions in all. The options for each question are listed below and separated by commas:

1. True, False

2. True, False

3. A, B, C, D

4. A, B, C, D

5. A, B, C, D

Mr. Montes derives his answers from a random answer generator; same way Amisha generated her answers by random selection.

QUESTION 1

If you want to find the odds that Amisha got at least 3/5 of the answers correctly, would you use a permutation or a combination?

ANSWER TO QUESTION 1

You would use a combination. Note that as much as 'permutation' is distinctly defined from 'combination', in many complex cases both are used to derive the solution. In this case though, a combination is used. For each of the 5 questions, there are a number of possible answers. Questions 1 and 2 have only two possible answers (also known as options) while questions 3, 4 and 5 have four possible answers/options to choose from. Amisha can only have one set of five answers; each to each question. So this is a combination! If you want to find the odds that Amisha got at least 3 of her 5 answers correct, you would use a combination of the various possible answers to check.

QUESTION 2

Find "Set 1 ∩ Set 2" and explain the notation in the sentence.

ANSWER TO QUESTION 2

First list out relevant information:

- The correct answers to questions 3, 4 and 5 are respectively C, B, A

- The universal set consists of five students: S1, S2, S3, S4, S5 hence

Ц = {S1, S2, S3, S4, S5}

Next, enlist the elements of each defined set

Set 1: {S1, S2, S3, S4, S5} Set 2: {S2, S3, S4} Set 3: {S4, S5}

Note: Set 1 is equal to the universal set.

Now this notation "∩" means "intersect". It requires an action - checking out which elements in one set also appear in a second set and then bringing those elements to form a new set.

In the case of this question, we're to find Set 1 intersect Set 2. The elements present in Set 1 and also present in Set 2 are {S2, S3, S4}.

If you look closely, you'll observe that these are the same elements in Set 2! This brings to remembrance, one of the laws of sets:

The intersect of any subset and the universal set (recall that Set 1 happens to be equal to or have the same elements as the universal set) is equal to that subset.

So the answer to question 2 is

Set 1 ∩ Set 2 = Set 2

QUESTION 3

Find "Set 2 ∪ Set 3" and explain the notation in the sentence.

ANSWER TO QUESTION 3

The notation ∪ represents "union". This is the act of putting together the elements in two sets, to form a new set. In this activity, if an element appears in both sets, it is only written once in the new set, not twice.

So, Set 2 union Set 3 = {S2, S3, S4, S5}

As earlier stated, Student 4 isn't appearing twice in the new set.

QUESTION 4

Find the ' of Set 1 and explain the notation in this sentence.

ANSWER TO QUESTION 4

The symbol ' means "complement of a set". Finding the complement of a set is like subtracting the elements of that set from the universal set.

Since Set 1 contains the same elements as the universal set, subtracting Set 1 from the universal set will give you nothing. In this case, the complement of Set 1 is a null set!

Set 1 ' Ц = { } or ∅

where the empty bracket symbol and the slashed zero symbol represent null set.

Kudos!

3 0

3 years ago

Solve for x and y pls

Paraphin [41]

X is a 90 degree angle so x equals half of 90 which is 45
X= 45
Since x is 45 the other angle on the other side is 45
Every triangle equals 180 so you take 45+45 to get 90 and subtract that from 180 and get 90
Y= 90
hope this helped ask questions

8 0

3 years ago

Converting units is always an exercise in linear relationships. how many inches is 2.50 m? (2.54 cm=1.0 inch)

madam [21]

There are 98.4252 inches in 2.50m.

Unit Conversion is defined as a process that involves multiplication and division by a numerical factor or a particular conversion factor.

For Example .Convert 2m into cm.

As we know that 1m=100cm

multiplying both sides by 2 we get

2m = 200 cm.

According to the question

It is given that 2.54 cm = 1 inch

$1cm = \frac{1}{2.54} inch$

$100cm=\frac{100}{254} inch$

$1m = \frac{100}{2.54}$ ( as 100cm = 1m)

we need 2.50 m So we multiply both sides by 2.50

$2.50m=\frac{2.50*100}{2.54} \\\\ 2.50m=\frac{250}{2.54}$

$2.50m=98.4252 inch$

Therefore , there are 98.4252 inches in 2.50m.

Learn more about Unit Conversion here brainly.com/question/14523259

#SPJ4

8 0

2 years ago

Which of the following is a factor of 2xy + 8y − 8x − 32?

muminat

You could start by eliminating wrong answer(s):

(a) 5 is definitely not a factor of the given 2xy + 8y − 8x − 32,

(d) x^2 - 4x + 16 (not x2 - 4x + 16) is not a factor (it has no y terms)

On the other hand:

(b) 2 definitely divides evenly into 2xy + 8y − 8x − 32: 2(xy + 4y − 4x − 16)

(c) x + 4 divides evenly into both xy + 4y and -(4x + 16):
We get 2(x +4) [y - 4]

4 0

3 years ago