Answer:
The error is:
He multiplied the dividend by 100 instead of 10
Step-by-step explanation:
∵ 1.926 ÷ 0.9 ⇒ means
1.926 = 1926/1000 ⇒ dividend
0.9 = 9/10 ⇒ divisor
* ÷
×
×
∵ 1926/100 = 19.26 ⇒ dividend
∴ 19.26 ÷ 9 = 1926/100 ÷ 9
19 ÷ 9 = 2 with remainder 1/9
12 ÷ 9 = 1 with remainder 3/9
36 ÷ 9 = 4 no remainder
∴ The quotient is 214/100 = 2.14
(x - 4 )² + ( y - 2 )² = 5 → d
the equation of a circle in standard form is
(x - a )² + ( y - b)² = r²
where (a , b) are the coordinates of the centre and r is the radius
the centre is at the midpoint of the endpoints of the diameter and the radius is the distance from the centre to either of the 2 endpoints of the diameter.
to find the centre use the midpoint formula
(a , b) = [ (6 + 2) ,
(3 + 1 )] = (4 , 2)
to find r use the distance formula with points (4 , 2) and (6 ,3 )
r = √(6 - 4)² + ( 3 - 2)² = √( 4 + 1 ) = √5 ⇒ r² = 5
(x - 4)² + (y - 2)² = 5 is the equation