Answer:
centre = (2, - 3 ) and radius = 5
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
x² + y² - 4x + 6y - 12 = 0 ( add 12 to both sides )
x² + y² - 4x + 6y = 12 ( collect x/ y terms )
x² + 4x + y² + 6y = 12
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(-2)x + 4 + y² + 2(3)y + 9 = 12 + 4 + 9
(x - 2)² + (y + 3)² = 25 ← in standard form
with (h, k ) = ( 2, - 3 ) and r = = 5
Well pie is 3.14 but the square root is 1.772453851
G(x) = (x^2-6) / 2x
<span>g( n-5) = ( [n-5]^2 -6) / 2(n-5) </span>
<span>= ( n^2 -10n +25 -6 ) / 2(n-5) or ( n^2 -10n +25 -6 ) / (2n-10) </span>
<span>Your Answer </span>
<span>I did foil first and got n^2-10n+25 </span>
<span>then did 25-6 to get 19. </span>
<span>so n^2-10n+25 is on top.////// should have been n^2 -10n +19 </span>
<span>and the bottom is 2(n-5) so I distributed the 2 and got 2n-10 </span>
<span>so n^2-10n+25 </span>
<span>2n-10 </span>
<span>= (n^2 -10n +19) / 2(n-5)</span>
Answer:
S(0, 2)
Step-by-step explanation:
Midpoint Formula:
Step 1: Plug in known variables
5 = (10 + x)/2
-8 = (18 + y)/2
Step 2: Solve
10 = 10 + x
x = 0
-16 = 18 + y
y = 2
Step 3: Write coordinates
(0, 2)
Answer:
see below
Step-by-step explanation:
2/3 ÷ 4
We use copy dot flip
The flip means make a reciprocal of the second number
2/3 * 1/4
Multiply the numerators
2*1 = 2
Multiply the denominators
3*4 =12
Put the numerator over the denominator
2/12
Simplify
1/6