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DochEvi [55]
2 years ago
9

Which of the following answer choices is an equation for the circle with a center of (-2, 3) and a radius of 3?

Mathematics
1 answer:
mamaluj [8]2 years ago
5 0

Answer:

A

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 2, 3) and r = 3 , then

(x + 2)² + (y - 3)² = 9 ← expand left side using FOIL

x² + 4x + 4 + y² - 6y + 9 = 9  ( subtract 9 from both sides )

x² + y² + 4x - 6y + 4 = 0 → A

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Which number is a common factor of 27 and 45?<br> A) 5 <br> B) 9 <br> C) 12 <br> D) 15
mestny [16]

Answer:

We found the factors and prime factorization of 27 and 45. The biggest common factor number is the GCF number. So the greatest common factor 27 and 45 is 9.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
For the scientific notation, write the standard form: 5.61 x 102
Alekssandra [29.7K]

<em>I believe the exponential form above is 5.61 x </em>10^{2}

Answer:

561

Step-by-step explanation:

A<em> "scientific notation"</em> is being used in order to express large numbers in its <u>simplest form</u>. This is commonly used in careers that use Mathematics very often like<em> engineers</em> or<em> scientists </em>because it makes their computation easier.

The<em> "standard form"</em> refers to the standard or traditional way of writing the numbers.

In order to get the standard form above, you have to check the <em>"power of the number 10." </em>The exponent above is 2. This means that you have to move the decimal point of 5.61 to the<em> right twice.</em> So, the answer is 561.

4 0
3 years ago
Find the 12th term of an AP of the form 7, 12, 17, 22
ikadub [295]
Answer: 62

Step-by-Step Explanation:

First Term (a) = 7
Common Difference (d) = 12 - 7 = 5
Term to Find (n) = 12th

Therefore, finding the 12th Term :-
=> a+(n-1)d
= 7 + (12 - 1)5
= 7 + (11)5
= 7 + 55
=> 62

Hence, 12th Term of this AP is 62
4 0
2 years ago
Read 2 more answers
X+3=5 help plz plz plz
Bogdan [553]

Answer:

x=2

Step-by-step explanation:

5-3=2

x=2

8 0
3 years ago
Read 2 more answers
An airplane travels 640 miles from Topeka to Houston in 3.2 hours, going against the wind. The return trip is with the wind, and
Mandarinka [93]

The  airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let a represent the rate of the airplane with no wind. and b the rate of the wind, hence:

(a - b)3.2 = 640

a - b = 200   (1)

Also:

(a + b)2 = 640

a + b = 320    (2)

The solution to equation 1 and 2 is:

a = 260, b = 60

The  airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
1 year ago
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