Answer:
12 and -12
Step-by-step explanation:
12x-12y is the expansion using the distributive property, so the coefficient of x is 12 and the coefficient of y is -12
Answer:
Perimeter of the rectangle = 8 x +4
Length of the rectangle = 12 units.
Step-by-step explanation:
Let the width of the rectangle as 'x' units.
So, length of the rectangle is 2 more than 3 x.
We can set up expression for length as 3 x+2.
Now, perimeter is sum of all side lengths of the rectangle.
So, perimeter = x+x+3 x+2 +3 x+2
Combine like terms,
Perimeter = 8 x+4
Now, it is given perimeter is 36cm
So,
8 x+4=36
Subtract both sides 4
8 x=32
Divide both sides by 8
x=4
So, width of the rectangle =4
Length =3(4) +2=14
Answer:
- 27 and 7
Step-by-step explanation:
To obtain f(- 6) substitute x = - 6 into f(x), that is
f(- 6) = 4(- 6) - 3 = - 24 - 3 = - 27
To obtain g(- 3) substitute x = - 3 into g(x), that is
g(- 3) = - 3(- 3) - 2 = 9 - 2 = 7
Answer:
D
Step-by-step explanation:
out of the choices
A) 2x-y=-2
3x+2y=-10
B) x+4y=3
2x+5y=3
C) 2x+3y=5
x-4y=-14
D) 3x+4y=15
x+y=5
only the system in D has a solution of x=5 and y=0
solve by substitution x+y=5 so x=5-y
plug into the other equation so 3(5-y)+4y=15
distribute 15-3y+4y=15 then minus 15 on both sides and combine like terms
so y=0 then put that value back into the other equation
so x+y=5 equals x+0=5 so x=5 this means the solution to the system of equations is the point (5,0)
Hope this helps! :)
