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horrorfan [7]
2 years ago
7

Find the center and radius of this circle x^2+y^2-6x-10y+30=0

Mathematics
1 answer:
Vsevolod [243]2 years ago
5 0

Answer:

The circle's centre is at the position (3, 5), and it has a radius of 2

Step-by-step explanation:

First let's put it in a useful format by completing the squares:

x² + y² - 6x - 10y + 30 = 0

x² - 6x + y² - 10y = -30

x² - 6x + 9 + y² - 10y + 25 = -30 + 9 + 25

(x - 3)² + (y - 5)² = 4

This tells us that the centre position is (3, 5) and the radius is √4, or 2

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Problem 2.2
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Answer:

$3.60.

Step-by-step explanation:

4.5 = x + 20% of x

4.5 = x + 0.2x

1.2x = 4.5

x = 3.75

6 0
2 years ago
Use braces and digits to indicate the set of whole numbers
Sergeeva-Olga [200]

Whole numbers are numbers without decimal points greater than 0.

The set of whole numbers is:

W =\{0,1,2,3,4.....\}

In the introductory part of this solution, I stated that:

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  • The smallest whole number is 0

This means that the following numbers are whole numbers:

1, 9, 10, 67

While the following numbers are not:

-1, 9.0, 1.0, -67

Let W be the set of whole numbers; the set is:

W =\{0,1,2,3,4.....\}

The dots after 4 means the set still continues

Read more at:

brainly.com/question/13106807

4 0
2 years ago
In the video Mouse Count, Miss Ashley read a book about a snake that captured mice and placed them one-by- one in a jar for his
spin [16.1K]

Based on the fact that the snake was placing the mice one - by - one into a jar, this is A. Combining sets.

<h3>What does combining sets entail?</h3>

When sets are combined, it means that numbers from a certain set of variables are combined with those from another set.

The snake had captured the mice separately which means they were in different sets. Putting them into one jar means they are being combined so this is combining sets.

Find out more on number and operations standards at brainly.com/question/20628271.

#SPJ1

7 0
2 years ago
SIMPLE PARALLELOGRAM PERIMETER QUESTION
umka2103 [35]
The perimeter is 62 inches. My work is shown in the picture.

6 0
3 years ago
Please hurry and also explain how to do this thanks I really appreciate everyone's help!!!​
andriy [413]

Answer: 112 in sq

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4 x 16 - 10 = 6 on left so... 1/2 x 6 x 4= 12 in sq. So A= 100+12= 112in sq

5 0
3 years ago
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