24 ^ 2/3 = (8 ^ 2/3) * (3 ^ 2/3)
cancle out the 8^2/3 and you get (3 ^ 2/3) * (3 ^ 4/3) = 3^2 = 9
9
Use ac method
for ax²+bx+c=0 when a≠1
multiply a and c, let's call the product r
what 2 numbesr multiply to get r and add to get b
2y²+9y+9=0
2*9=18
wat 2 numbers multiply to get 18 and add to get 9
3 and 6
split it up to that
2y²+3y+6y+9=0
group
(2y²+3y)+(6y+9)=0
factor
y(2y+3)+3(2y+3)=0
undistribute
(y+3)(2y+3)=0
set to zero
y+3=0
y=-3
2y+3=0
2y=-3
y=-3/2
y=-3 and -3/2
it's factored form is (x+3)(2x+3)
Answer:
Option (2)
Step-by-step explanation:
Since, rotation of any figure is a rigid transformation, side lengths and measure of angles of the image polygon after rotation will remain same.
NP = N'P'
Coordinates of N → (5, 9)
Coordinates of P → (7, 9)
Formula of distance between two points
and
is,
d = 
By this formula length of NP = 
= 2 units
Therefore, Option (2) will be the correct option.
Answer: Domain = {-4, -1, 0, 2, 7, 8, 13}
The domain is the set of allowed x inputs. So all we do is list the set of x values in the top row of the table.
In contrast, the range is the set of possible y outputs. So the range would be {5,2,-3,7,4,9}. Any duplicate items in the range are tossed out. Optionally you can order the set from smallest to largest, but that's not required. This is because order in a set doesn't matter.
Answer:
12
Step-by-step explanation: