Answer:
see explanation
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
16 + x² + y² - 8x - 6y = 0 ( subtract 16 from both sides )
x² + y² - 8x - 6y = - 16 ( collect x and y terms together )
x² - 8x + y² - 6y = - 16
Use the method of completing the square
add ( half the coefficient of the x/y terms)² to both sides
x² + 2(- 4)x + 16 + y² + 2(- 3)y + 9 = - 16 + 16 + 9
(x - 4)² + (y - 3)² = 9 ← in standard form
with centre (4, 3 ) and r = 
= 3
This is a circle with centre (4, 3 ) and radius 3
Are you sure you cancel out as seen on your paper? Because I would have said 2 4/7 was answer which is not the same as answer when you canceled out
What are the outliers of 42,43,46,48,57,60,96,59,38,68,29
PolarNik [594]
Answer:
96 and 29
Step-by-step explanation:
they have the greatest difference from the othere numbers.
Answer:
6
Step-by-step explanation:
Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD).
Answer:
27 quarters and 37 nickels
Step-by-step explanation:
Nickels are 5¢
Quarters are 25¢
$8.60 is 172 nickels (860/5)
$8.60 is 34.4 quarters (860/25)
So then let's split it half-and-half.
425 and 435
425 would become 17 quarters.
435 would become 87 nickels.
This is still too much.
Now let's try 700 and 160.
700 would become 28 quarters
160 would become 32 nickels.
28+32=60.
This is a lot closer.
So now 27 quarters and 37 nickels. This works.
