Answer:
a. Parallel
b. Not parallel
Step-by-step explanation:
Systems which have no solutions are parallel lines. These lines do not intersect and therefore have no solution. Remember, parallel lines have the same slope. Compare the slope in each equation when in y=mx+b format to see if they are parallel.
a. y= 2x + 3 y-2x=-3 becomes y = 2x - 3
m = 2 m= 2
The slopes are the same so these are parallel lines.
b. 3x + y = 2 becomes y= -3x + 2 y = 1/3 x + 1/2
m = -3 m= 1/3
The slopes are different so this is not parallel.
Since -3 and 1/3 are the negative reciprocals of each other. These lines are actually perpendicular.
Answer:
Slope = -2
Step-by-step explanation:
slope = (y₂ - y₁)/(x₂ - x₁)
s = (6 - 0)/(-3 - 0)
s = 6 / -3
s = -2
I hope this helped and please mark me as brainliest!
Answer:
x = 1 or x = -4 or x = -6 thus d: is your answer
Step-by-step explanation:
Solve for x over the real numbers:
x^3 + 9 x^2 + 14 x - 24 = 0
The left hand side factors into a product with three terms:
(x - 1) (x + 4) (x + 6) = 0
Split into three equations:
x - 1 = 0 or x + 4 = 0 or x + 6 = 0
Add 1 to both sides:
x = 1 or x + 4 = 0 or x + 6 = 0
Subtract 4 from both sides:
x = 1 or x = -4 or x + 6 = 0
Subtract 6 from both sides:
Answer: x = 1 or x = -4 or x = -6
Answer:
I cant see the questions?
Step-by-step explanation: