As we know that the standard equation of circle is
, where <em>r</em> is the radius of circle and centre at <em>(h,k) </em>
Now , as the circle passes through <em>(2,9)</em> so it must satisfy the above equation after putting the values of <em>h</em> and <em>k</em> respectively

After raising ½ power to both sides , we will get <em>r = +5 , -5</em> , but as radius can never be -<em>ve</em> . So <em>r = +</em><em>5</em><em> </em>
Now , putting values in our standard equation ;
<em>This is the required equation of </em><em>Circle</em>
Refer to the attachment as well !
1.50c + 2.50a = 1100
c + a = 500
multiply the second equation by -1.50
1.50c + 2.50a = 1100
-1.50c - 1.50a = -7.50
Answer:
48
Step-by-step explanation:
base times hight times times 1/2
24X4X1/2
Answer:
y= x-4
Step-by-step explanation:
Since we have a point, and the slope, we can use the point slope formula

m is the slope, y1 is the y coordinate of the point and x1 is the x coordinate of the point.
We know that m is 1, y1 is 1, and x1 is 5, so we can substitute them in
y-1=1(x-5)
Solve for y by isolating it
Distribute the 1
y-1=1*x+ 1*-5
y-1=x-5
Add 1 to both sides
y=x-4
Answer:
(f - g)(x) =
+ 8x + 4
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
=
+ 10x - (2x - 4) ← distribute parenthesis by - 1
=
+ 10x - 2x + 4 ← collect like terms
=
+ 8x + 4