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Novay_Z [31]
3 years ago
7

Determine the center of the circle from the equation.

Mathematics
1 answer:
allsm [11]3 years ago
7 0

Answer:

A. (2, -3).

Step-by-step explanation:

The first step is to complete the square on the terms in x and the terms in y:

x² - 4x +4 +y² +6y + 9 =4

= (x - 2)² - 4 + (y + 3)² - 9 + 4 + 9 = 4

= = (x - 2)² + (y + 3)² - 9 + 9 - 4 + 4 = 4

=  (x - 2)² - (y + 3)²  = 4.

So the centre is at (2, -3).

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Write 1.96 ...... as a mixed number in simplest form.
BlackZzzverrR [31]
1 24/25

1.96= 196/100
196/100= 49/25

49-25= 24

1 24/25
3 0
3 years ago
Consider the function represented by 9x + 3y= 12 with x as the independent variable. How can this function be written
Elena-2011 [213]

Answer: f(x) = -3x + 4

Step-by-step explanation:

The function is represented by

9x + 3y= 12

This is a linear equation with x as the independent variable. This means that if x is the independent variable, the y is the dependent variable. The values of y depends on the values of x. In order to represent the function, 9x + 3y= 12, we would rearrange the function such that y stands alone on the left hand side of the equation. This becomes

9x + 3y= 12

Subtracting 9x from both sides,

9x -9x + 3y = 12 - 9x

3y = 12-9x

Dividing the lefthand side and right hand side of the equation by 3, it becomes

3y/3 = (12-9x)/3

y= -3x + 4

using function notation,

y = f(x) = -3x + 4

8 0
3 years ago
Erin owns $375 worth of comic book. She spends $15 every week on new comic books
padilas [110]
She would have $350 dollars left.
4 0
3 years ago
To 5% - (8.1 + 5%).<br> What’s the answer
Svetllana [295]

Answer:

rawr

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Round 398.223 to the nearest ten
Rufina [12.5K]

Answer:

400

Step-by-step explanation:

Method for rounding:

Look at the number 1 place before the place you are rounding to.

If it is greater than 4: round up

otherwise: round down.

Ok,

here the number we're looking at is 8 cuz' 8 is in the ones place.

8 is bigger than 4 so we round up.

398.223 becomes 400

6 0
3 years ago
Read 2 more answers
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