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2 years ago

MULTIPLE CHOICE HELP ASAP! Brainliest for correct answer.

Mathematics

1 answer:

N76 [4]2 years ago

7 0

Answer:

An equation of the circle with centre (-2,1) and radius 3 is $\mathbf{(x+2)^2+(x-1)^2=9}$

Option D is correct.

Step-by-step explanation:

Looking at the figure we get centre of circle C (-2,1) and radius of circle r = 3

The equation of circle is of form: $(x-h)^2+(x-k)^2=r^2$ where (h,k) is centre and r is radius.

We have centre C (-2,1) so, we have h = -2 and k = 1

We have radius = 3 so, r = 3

Putting values in the equation and finding the required equation:

$(x-h)^2+(x-k)^2=r^2\\(x-(-2))^2+(x-1)^2=(3)^2\\(x+2)^2+(x-1)^2=9$

So, an equation of the circle with centre (-2,1) and radius 3 is $\mathbf{(x+2)^2+(x-1)^2=9}$

Option D is correct.

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What is the sample space for each one of the following statements? (7.5 points each)

photoshop1234 [79]

We can define the sample space for a given experiment as the set of all the possible outcomes for the experiment.

For example, tossing a coin has a space sample of 2 elements, tails and heads.

The spaces are:

a) {WW, BB, WBB, BWW, WBWW, BWBB,... }

b) { 1-2-3-4, 1-2-3-5,..., 7-6-5-4,...}

a) We can write one element in this sample space as:

WBB

This would mean that first we draw a white ball, then a black ball, and then the second black ball, thus we stop drawing.

So all the elements in this set will have the form

{WW, BB, WBB, BWW, WBWW, BWBB,... }

As we have infinite balls in the bag, we have infinite elements in this set.

b) Now we have only 10 balls numbered from 1 to 10, and we draw 4.

So each element in the sample space can be written as:

1-2-3-4

This element means:

"first we draw ball number 1, then ball number 2, then ball number 3, then ball number 4"

Then the sample space will have the form:

{ 1-2-3-4, 1-2-3-5,..., 7-6-5-4,...}

If you want to learn more, you can read:

brainly.com/question/23125812

6 0

3 years ago

A whale costs $14700 and depreciates in value by 8% per year. When will the whale be worth $100

sammy [17]

Answer:

x = 60

Step-by-step explanation:

The question is asking

$14,700 * (1 - 8%)^x = $100

$14,700 * (1 - 0.08)^x = $100

$14,700 * (0.92)^x = $100

(0.92)^x = $100/$14,700

log(0.92^x) = log($100/$14,700)

x * log(0.92) = log(0.0068027)

x = log(0.0068027)/log(0.92)

x = 59.85

Since this question is asking in terms of years, we always round up (in this case to 60), as it won't fully be worth $100 by the beginning of the 59th year.

3 0

3 years ago

Ben is 12 years older than Ishaan. Ben and Ishaan first met two years ago. Three years ago, Ben was 4 times as

sergey [27]

Answer:

Ishaan is now 6.

Step-by-step explanation:

If Ben is 12 years older, and you have the info that three years ago, he was 4 times as old, then all you have to do is divide 12 by 4, giving you 3. You add 3 to that because it's been three years. You have your answer of 6.

Hope this helps! :)

4 0

3 years ago

Can you show me the work to get this answer write two expressions that have a gcf of 8xy

BigorU [14]

1) Expression 1: 16x^3 y

2) Expression 2: 24 xy^5

Procedure:

1) find the greatest common factor of the coefficients, 16 and 24:

16 = 2^4

24 = (2^3)*3

=> greatest common factor = 2^3 = 8

2) find the greatest common factor of x^3 y and xy^5

That is the common letters each raised to the lowest power:

=> xy

3) Then, the result is 8xy

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3 years ago

which of the following transformations does not preserve distance and angle measures? A .translation B.reflection C.rotation D.h

wel

D.horizontal stretch

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3 years ago

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