Write the equation in graphing form and the graph the shape. NO LINKS/ASSESSMENT!!
1 answer:
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
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Answer:
1) ok, we know that if we divide one number by the same number, the solution is 1 ; this is: a/a = 1
so we could write something as:
3 = 3*1 = 3*(5/5) = (3*5)/5 = 15/5
so 3 = 15/5
this is especially useful when working with addition of fractions.
2) this is really useful if you have a square root in the denominator.
for example :
3) you also could do this in the next way:
3 = 3*1 = 3*(7/7) = 3*(3+4)/7= 9/7 + 12/7
where i splitted the 7 into 3 +4, this relation could be useful sometime.
4) if you do the difference between some number and the prior number; you get one; this is : (5 -4) =1
then: 3= 3*1 = 3*(5 - 4) = 15 - 12