Answer:
Step-by-step explanation:Given Equation of line has slope m=-3/2
So the line passing through (4,6) has the same slope because both are parallel
From slope intercept form we have
y-y1=m(x-x1)
y-6=-3/2(x-4)
y-6=-3/2x +3/2(4)
y=-3/2x+12
2y=-3x+24
Answer:
x=3 or x=−9
Step-by-step explanation:
Step 1: Subtract 27 from both sides.
x2+6x−27=27−27
x2+6x−27=0
Step 2: Factor left side of equation.
(x−3)(x+9)=0
Step 3: Set factors equal to 0.
x−3=0 or x+9=0
x=3 or x=−9
Answer:
x=3 or x=−9
Answer:
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
A piece of wire is cut into two pieces. That means each part would be assigned an unknown variable. Let one part be x and the other part be y.
That means,

If the longer part is x, and the longer part is 3cm longer than the shorter part, then we would have the following;

We can now refine the equation as follow;

ANSWER:
The length of the shorter piece of wire is 6cm
Answer:
no solution
Step-by-step explanation:
y = -2x + 3
6x + 3y = -3
the substitution method means you plug one equation into the next, because the first equation gives us a solution for y we can go ahead and plug that into y of the second equation
6x + 3(-2x + 3) = -3
6x - 6x + 9 = -3
9 = -3
which is false meaning that there are no solutions and the lines don't touch at any point