You should get 12 cm by 6 cm. Since it’s asking for length (longest side), your answer is 12 cm.
Answer:
3/9
Step-by-step explanation:
P(G,G) = 1/3 × 1/3 = 1/9
P(B,B) = 1/9
P(Y,Y) = 1/9
P(same colour) 1/9 + 1/9 + 1/9 = 3/9
Answer:
(x, y, z) = (4, -1, 3)
Step-by-step explanation:
To solve the system of equations:
2x − 3y + 4z = 23 .........................(1)
x + 2y − 4z = −10 ..........................(2)
3x − y + 2z = 19..............................(3)
Simultaneously, we do that by first eliminating one variable from any two equations to have an equation in two variables. The process is repeated with one of the used equations and the third unused equation to have a second equation in two variables. The two equations in two variables obtained can then be easily solved simultaneously.
Let us eliminate z from (1) and (2)
Add (1) and (2)
(1) + (2):
3x - y = 13 ........................................(4)
Multiply (3) by 2
(3) × 2
6x - 2y + 4z = 38 ............................(5)
Add (5) and (2)
(5) + (2):
7x + 0 + 0 = 28
x = 28/7 = 4
Putting this in (4)
3(4) - y = 13
y = 12 - 13 = -1
Putting this in (3)
3(4) - 4(-1) + z = 19
z = 19 - 16 = 3
Therefore,
(x, y, z) = (4. -1, 3)
The solution to the problem is as follows:
Since -1/2 is the greatest common factor of the two terms,
(-1/2)x + 6 = (-1/2) (x - 3)
The factored form therefore is (-1/2) (x - 3). I hope my answer has come to your help. God bless and have a nice day ahead!
