First, we should rearrange the first equation to set it equal to y:
-x + 2y = 6
2y = 6 + x
y = 3 + 0.5x
Now, we can plug this into the second equation for y and solve for x:
6y = x + 18
6(3 + 0.5x) = x + 18
18 + 3x = x + 18
3x = x
2x = 0
x = 0
The x-value of the solution is 0.
This is an equation of degrees 6 so it will have a total of 6 roots.If you draw the
graph on calculator it touches the x axis at x = -2 and x = 2
If we plug in x =2 and x = -2 they fit the equation .
Also as the graph just touches the x axis this shows that x = 2 and x = -2 are duplicated
That gives us the 4 roots and also the +/- 2i giving a total of 6 roots.
The second option is correct
Answer:
x = -7
Step-by-step explanation:
Two parallel lines are lines that never intersect each other.
The y-axis can be written as x = 0.
Then if we want a parallel line to this one, it must be something like x = b
such that b ≠ 0.
Now we want that the distance between our line and the line x = 0 is 7 units to the left
(remember that the left is the negatie side of the axis)
then we can write:
b - 0 = -7
b = -7
The parallel line is x = -7
Answer:
6, - 36 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
f(x) = x² + 12x ← is in standard form
with a = 1, b = 12, c = 0 , then
x = - 
= - 6
Substitute x = 6 into f(x) for corresponding value of y
f(6) = 6² + 12(- 6) = 36 - 72 = - 36
vertex = (6, - 36 )
Answer:
HL
Step-by-step explanation:
It's a right angle triangle
