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riadik2000 [5.3K]
3 years ago
13

Find the center and radius of each circle x^2+y^2-6x+2y+9=0

Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer:

see explanation

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

To obtain this form use the method of completing the square on both the x and y terms

x² - 6x + y² + 2y = - 9 ← rearranging

x² + 2(- 3)x + 9 + y² + 2(1)y + 1 = - 9 + 9 + 1

(x - 3)² + (y + 1)² = 1 ← in standard form

with centre (3, - 1) and radius 1



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In game 1 emerson struck out 30 times in 90 times at bat in game 2 he struck out 40 times in 120 times at bat
Agata [3.3K]

Answer:

a) 32

b) 67.613

Step-by-step explanation:

<em><u> In Game 3, Emerson struck out 42 times in 140 times at-bat.</u></em>

<em><u>Part A</u></em>

<em><u>Drag numbers to complete the proportion to represent the percent of strikeouts per at-bats.</u></em>

<em><u>Numbers may be used once or not at all.</u></em>

<em><u /></em>

<em><u>Part B</u></em>

<em><u>What percentage of times at bat did Emerson actually hit the ball?</u></em>

Part A

Total number of strikeouts= 30+40+42= 112

Total number of at bats = 90+120+140= 350

strikeouts : times

112: 350

p:100

Using cross product rule

p/100= 112/350

p * 350= 112*100

or p= 11200/350= 32

It means that there were 32 strikeouts if 100 times were bat at hits.

Part B:

Total number of strikeouts= 30+40+42= 112

Total number of at bats = 90+120+140= 350

But we need the percentage of times at bat hit

Therefore

Hits= times - strikeouts= 350-112= 238

Percentage = 238/352*100= 67.613

Check

The above answers are correct because

100-32 = 68

68 ≅ 67.613

7 0
3 years ago
Julio withdrew $24 from her bank account over 3 days. She withdrew the same amount each day. By how much did her bank account ch
LiRa [457]

Answer:

the answer is 8

Step-by-step explanation:

if you divide 24 by 3 you get eight so her bank account changed by eight each day

3 0
3 years ago
Read 2 more answers
Summer looked at the formula for the Pythagorean Theorem, a2 + b2 = c2, she said that it didn’t matter which sides of a right tr
Black_prince [1.1K]

Answer:

Summer is incorrect

Step-by-step explanation:

It definitely matters which side is side "c".  Side "c" must be the hypotenuse (the side across from the right angle).

The other two sides are the legs (sides touching the right angle), and either leg can be "a" or "b", but the hypotenuse must be "c".

Take the equation, a² + b² = c², and subtract c² from both sides:

a^{2} +b^{2} -c^{2} =0

It won't matter which leg is "a" or "b", because of the commutative property of addition.  Note that "a²" and "b²" are added together, and due to the commutative property of addition, we can add in either order and get the same result.

However, since the c² term is connected by subtraction, and subtraction doesn't have a commutative property, it can't be subtracted in any order.  Meaning which side it is is important.

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2 years ago
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slope intercept is 7


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3 years ago
A blank is one of 100 equal parts
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A percent is one of 100 equal parts.

hope this helps.
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