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-BARSIC- [3]
3 years ago
10

A circle is defined by the equation x2 + y2 – x – 2y – = 0. What are the coordinates for the center of the circle and the length

of the radius?
Mathematics
2 answers:
Contact [7]3 years ago
7 0
 <span> x2 + y2 – x – 2y – = 0. 
</span><span>x2  – x  +y2– 2y – = 0. 
</span>(x2  – x +1/4) +(y2– 2y+1) =1/4 +1
(x-1/2)^2+(y-1)^2=1/2+5/2
(x-1/2)^2+(y-1)^2=3/2
center (1/2,1)
radiusSqrt 3/2

madreJ [45]3 years ago
6 0
X^2 + y^2 - x - 2*y = 0
To find both coordinates and radius we need to make this equation in circle form:
(x-a)^2 + (y-b)^2 = r^2

x^2 - 2*1/2*x + 1/4 - 1/4 + y^2 - 2*1*y + 1 - 1 = 0
Here we are adding and subtracting numbers in order to get square binomial.
(x - 1/2)^2 + (y-1)^2 = 5/4

coordinates of center are (1/2,1) and the radius is √\frac{5}{4}
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3 years ago
Which of the following equations could represebt the point in the table select all the following
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Step-by-step explanation:

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6 0
3 years ago
Analyze the following table of values.<br><br> y=1/2x<br> y=1/2^x2+4<br> y=4^x2+1/2<br> y=4(1/2)x
Fittoniya [83]

The table models an exponential relationship, and the equation of the table is y = 4(1/2)^x

<h3>How to analyze the table of values?</h3>

The table of values is given as:

x  0   1    2   3    4

y  4   2    1   1/2  1/4

The above table shows an exponential model

An exponential model is represented as:

y = ab^x

When x = 0 and y = 4, we have

ab^0 = 4

Evaluate

a = 4

When x = 1 and y = 2, we have

ab^1  = 2

Evaluate

ab  = 2

Substitute 4 for a

4b  = 2

Divide both sides by 4

b = 1/2

Substitute 4 for a and 1/2 for b in y = ab^x

y = 4(1/2)^x

Hence, the equation of the table is y = 4(1/2)^x

Read more about exponential models at:

brainly.com/question/11464095

#SPJ1

6 0
2 years ago
One number is four less than a second number. Three times the first is 13 more than 4 times the
Gala2k [10]

Answer:

sup

Step-by-step explanation:

5 0
3 years ago
List all the factors of 98!
marin [14]
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 The factors of 98 are 1 ,2,7,14,49,98</span>
5 0
3 years ago
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