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yanalaym [24]
1 year ago
12

The equation of a circle is given below. Identify the radius and center. Then graph the circle.

Mathematics
1 answer:
pav-90 [236]1 year ago
3 0

The center of the circle is (0,2) and the radius is 5 units

<h3>How to determine the radius and the center?</h3>

The equation is given as:

x² + (y-2)² =25

The equation of a circle is given as:

(x - a)² + (y - b)² = r²

Where:

Center = (a,b)

Radius =  r

By comparison, we have:

(a,b) = (0,2)

r² = 25

Evaluate

r = 5

Hence, the center of the circle is (0,2) and the radius is 5 units

Read more about circle equation at:

brainly.com/question/1559324

#SPJ1

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Marla bought 12 books at a garage sale. Some of them were hardback and the rest were paperback. She paid $0.50 for each paperbac
olga nikolaevna [1]

Answer: The number of books bought were 9 paperbacks and 3 hardbacks

Step-by-step explanation: We shall start by assigning letters to the unknown variables, hence let the hardback be called h, while the paperback shall be called p.

If Marla bought 12 books at the garage sale, that means she bought

h + p  = 12 ------(1)

Then she paid 0.5 dollars for paperback and 0.75 dollars for hardback and the total spent was 6.75 dollars for all of them, then we can express these as follows;

0.5p + 0.75h = 6.75 ------(2)

We now have a pair of simultaneous equations which are

h + p = 12 ------(1)

0.5p + 0.75h = 6.75 ------(2)

From equation (1), make h the subject of the equation,

h = 12- p

Substitute for h into equation (2)

0.5p + 0.75(12 - p) = 6.75

0.5p + 9 - 0.75p = 6.75

0.5p - 0.75p = 6.75 - 9

-0.25p = -2.25

Divide both sides of the equation by -0.25

p = 9

Now, substitute for p into equation (1)

h + p = 12

h + 9 = 12

Subtract 9 from both sides of the equation

h = 3

Therefore Marla bought 9 paperbacks and 3 hardbacks

6 0
3 years ago
Read 2 more answers
( BRAINLIEST QUEATION)
mr Goodwill [35]

Answer:

Step-by-step explanation:

Weight decreased = 108 - 88 =  20 Kg

Percentage decrease = \frac{20}{108}*100

                   = 18.52%

3 0
3 years ago
Find the distance between the points (0, 10) and (–9, 1).
Assoli18 [71]
D=sqrt[(x1-x2)^2+(y2-y1)^2]
(0,10) x1=0 y1=10 and (-9,1) x2=-9 y2=1
now d=sqrt[(-9-0)^2+(1-10)^2]=12.72792206 units
6 0
3 years ago
What is the slope of a line with points (5.5,2.2)(11,4.4)?
MAXImum [283]

Answer:

Slope=2.2/5.5 or 0.4

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

Hence:

slope=(4.4-2.2)/(11-5.5)

slope=2.2/5.5=0.4

7 0
3 years ago
A recipe uses 5 cups of flour for every 2 cups of sugar. How much sugar is used for 1 cup of flour? Exact answers only
Aloiza [94]

Answer:

0.4

Step-by-step explanation:

Hopefully this can help

7 0
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