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sergejj [24]
2 years ago
6

Please help!

Mathematics
1 answer:
Aliun [14]2 years ago
5 0

Answer:

Step-by-step explanation:

We know that the equation of a circle is:

(

x

−

a

)

2

+

(

y

−

b

)

2

=

R

2

where a and b are the coordinates of the center, and R is the radius.

So in this question we have to complete the squares:

x² + y² - x - 2y - 11/4 = 0       ->

x² - x + 1/4 + y² - 2y = 11/4 +1/4     ->

(x - 1/2)² + y² - 2y + 1 = 12/4 + 1     ->

(x - 1/2)² + (y - 1)² = 4

Therefore, the coordinates of the center are C = ( 1/2, 1) and the Radius is R = 2

      x² + y² - x - 2y - 2³/₄ = 0

               x² + y² - x - 2y = 2³/₄

               x² - x + y² - 2y = 2³/₄

(x² - x + 1) + (y² - 2y + 4) = 2³/₄ + 1 + 4

             (x - 1)² + (y - 2)² = 7³/₄

The coordinates for center of the circle is equal to (1, 2). The coordinates of the length of the radius is √(³¹/₄).

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If anyone knows how to obtain the answer, please notify me.
Tems11 [23]

Answer:

Area =  

b1 + b2

×h

2

=  

2 + 6

× 5

2

=  

20 centimeters2

Step-by-step explanation:

6 0
3 years ago
What are the excluded values of x for x+4/-3x^2+12x+36
LekaFEV [45]
I will assume that you meant:

(x+4)/(-3x^2+12x+36)  factor the denominator...

(x+4)/(-3(x^2-4x-12))

To factor a quadratic of the form ax^2+bx+c you need to find two values, j and k, which satisfy two conditions...

jk=ac=-12 and j+k=b=-4 so j and k must be 2 and -6 and the factors are then:

(x+2)(x-6) so we are now left with:

(x+4)/(-3(x+2)(x-6))

The only restriction on this function is that division by zero is undefined, so x cannot equal -2 or 6
3 0
3 years ago
Read 2 more answers
The lines shown below are perpendicular. If the green line has a slop of 2/5, what is the slope of the red line?
aivan3 [116]

The slope of the red line that is perpendicular to the green line is: -5/2.

<h3>What are the Slope Values of Perpendicular Lines?</h3>

When one line lies perpendicular to another line, the slope of one must be the negative reciprocal of the other line.

<h3>What is the Negative Reciprocal of a Number?</h3>

If given a number, i.e. a/b, the negative reciprocal of a/b would the opposite value of the reciprocal of a/b.

Reciprocal of a/b is b/a. Negative reciprocal of a/b would therefore be: -b/a.

Given that the slope of the green line is: 2/5. And it is perpendicular to the red line. The slope of the red line would be the negative reciprocal of 2/5.

Negative reciprocal of 2/5 is -5/2.

Therefore, the slope of the red line is: -5/2.

Learn more about slope of perpendicular lines on:

brainly.com/question/1362601

#SPJ1

5 0
1 year ago
They are arranged randomly because manual typewriters tended to jam if the user typed too fast - therefore the arrangement was i
solmaris [256]

Answer:

Huh

Step-by-step explanation:

Huh......................

8 0
2 years ago
Read 2 more answers
Claire has 5 more pencils then her friend Stan. Claire has 18 pencils. how many does stan have ?​
Tcecarenko [31]

Answer:

Stan has 13 pencils.

Step-by-step explanation:

s+5=18

  -5 -5

   s=13

Hope this helps! ;)

<em>(plz mark me as brainliest?)</em>

<em>(u don't have to)</em>

8 0
3 years ago
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