Answer:
68, 5, 21, 24x+8
Step-by-step explanation:
Hi friend,
The objective is to divide $20 in 2:3 ratio.
One part be 2x, another part is 3x
Sum of them = 20
2x + 3x = 20
5x = 20
x=4
So therefore one part must be 2x = 2 x 4 = 8
Another part = 3x = 3 x 4 = 12
Hence it is divided in 2:3 ratio.
Hope my answer is helpful to u. :)
H^2=x^2+y^2
9^2=4^2+x^2
81=16+x^2
x^2=65
x=8.1cm
Answer:
c. (x + 3)
Step-by-step explanation:
using factor theorem
if x - 3 is a factor then p(a) = 0
p(a)= x^3 - 3x^2 - 4x + 12
a.(x-3)
p(3) = (3)^3 - 3(3)^2 - 4(3) + 12
= 27 - 27 - 12 + 12
= 0
therefore x-3 is a factor
b.(x + 2)
p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12
= -8 -12 + 8 + 12
,= 0
therefore x + 2 is a factor
c.(x + 3)
p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12
= -27 -27 + 12 + 12
= -30
therefore x + 3 is not a factor
d.(x-2)
p(2) = (2)^3 - 3(2)^2 - 4(2) + 12
= 8 -12 - 8 + 12
= 0
therefore x - 2 is a factor