Answer:
(x - 3)² + (y + 9)² = 25
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
Given area = 25π , that is
πr² = 25π ( divide both sides by π )
r² = 25 ( take the square root of both sides )
r =  = 5
 = 5
With centre (h, k) = (3, - 9 ) and r = 5 , then
(x - 3)² + (y - (- 9) )² = 5² , that is
(x - 3)² + (y + 9)² = 25
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
The area of a rectangle can be found with the formula  , where
, where  is the length of the rectangle and
 is the length of the rectangle and  is the width.
 is the width.
From the given problem statement, we know that  and
 and  , so we can fill in those values in the formula anbd solve for
, so we can fill in those values in the formula anbd solve for  to get the width:
 to get the width:


Divide both sides by  to isolate
 to isolate  by itself:
 by itself:


 
        
                    
             
        
        
        
Answer:
The two odd numbers are 15 and 17
Step-by-step explanation:
Given
<em>Let the odd numbers be represented with x and y</em>
<em>Let x be the greater number</em>
<em></em> <em></em>
<em></em>
<em></em>
<em>Required</em>
Find x and y
Since x and y are consecutive odd numbers and x is greater, then 

Substitute y + 2 for x in  <em></em>
<em></em>
<em></em> <em></em>
<em></em>
<em></em>
Collect Like Terms
<em></em> <em></em>
<em></em>
<em></em> <em></em>
<em></em>
Divide both sides by 6



Substitute 15 for y in 


<em>Hence; the two odd numbers are 15 and 17</em>
 
        
             
        
        
        
Answer:

Step-by-step explanation:
The formula of the area of a triangle is  . Plugging in the given base and height values, you get
. Plugging in the given base and height values, you get  . Hope this helps!
. Hope this helps!
 
        
             
        
        
        
He started with 3.
3 X 3 = 9.
9 - 5 = 4.
4 X 4 = 16.
16 - 7 = 9.
9 divided by 3 = 3.
3 + 6 = 9.