(2n/6n+4)(3n+2/3n-2)
=2n(3n+2)/(6n+4)(3n-2)
=(6n^2 + 4n)/(18n^2 - 12n + 12n -8)
=(6n^2 + 4n)/(18n^2 - 8)
=2(3n^2 + 2n)/2(9n^2 - 4)
=(3n^2 + 2n)/(9n^2 - 4)
=n(3n+ 2)/(3^2 × n^2 - 2^2)
=n(3n+ 2)/(3n-2)(3n+2)
=n/(3n-2)
Answer:The numerator of the simplified expressions is n.
Answer:
b
Step-by-step explanation:
Answer:
Pattern :
Pattern :
Step-by-step explanation:
Given:
Pattern x: start with 0 and add 6.
Pattern y: start with 1 and multiply 2.
To find: patterns and
Solution:
Pattern :
Pattern :
Answer:
point is (13/4 , 17/2)
Step-by-step explanation:
Let (x1,y1) and (x2,y2) be the end points of a line segment, 'A' is the point on the line segment such that A divides the line segment in the ratio p : q then the coordinates of A (x,y) is given by,
x = x1 + p/w(x2 - x1) and y= y1 + p/w(y2 - y1) where w = p+q
It is given that,
Point A is located at (4, 8) and point B is located at (14, 10) .
Let P be the point on AB such that P divides AB in the ratio 1:3
<u>Find the coordinates of P(x,y)</u>
w = 1+3 = 4
x = x1 + p/w(x2 - x1) = 4 + 1/4(14 -4) = 4 + 10/4 =13/4
y= y1 + p/w(y2 - y1) = 8 + 1/4(10 - 8) = 8 + 1/2 = 17/2
point is (13/4 , 17/2)
Answer:
3 a (a + 2) + 2 b^2 or a (3 a + 6) + 2 b^2 or 3 (a + 1)^2 + 2 b^2 - 3
Step-by-step explanation: