The two lines in this system of equations are parallel
Step-by-step explanation:
Let us revise the relation between 2 lines
- If the system of linear equations has one solution, then the two line are intersected
- If the system of linear equations has no solution, then the two line are parallel
- If the system of linear equations has many solutions, then the two line are coincide (over each other)
∵ The system of equation is
3x - 6y = -12 ⇒ (1)
x - 2y = 10 ⇒ (2)
To solve the system using the substitution method, find x in terms of y in equation (2)
∵ x - 2y = 10
- Add 2y to both sides
∴ x = 2y + 10 ⇒ (3)
Substitute x in equation (1) by equation (3)
∵ 3(2y + 10) - 6y = -12
- Simplify the left hand side
∴ 6y + 30 - 6y = -12
- Add like terms in the left hand side
∴ 30 = -12
∴ The left hand side ≠ the right hand side
∴ There is no solution for the system of equations
∴ The system of equations represents two parallel lines
The two lines in this system of equations are parallel
Learn more:
You can learn more about the equations of parallel lines in brainly.com/question/8628615
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Answer:
10 seconds
Step-by-step explanation:
mark two points on the line the use the slope rule to calculate it you'll find it's -5 m/s
Answer:
9x^2y^2
Step-by-step explanation:
Ok so to find the area of a square we have to square the side length. So 3xy*3xy = 9x^2y^2 because 3*3=9, x*x=x^2, and y*y=y^2.
Answer:
6.81m
Step-by-step explanation:
Using the formula for finding the length of am arc
L = theta/360° × 2πr
theta is the angle subtended by the drum in rotation
r is the radius of the drum
Given theta = 315.7°
r = 1.1m
Substituting the given values into the formula we have:
L = 315.7/360 × 2π(1.1)
L = 315.7/360 × 2.2π
L = 315.7/360 × 2.2(3.14)
L = 315.7/360 × 6.91
L = 6.81metres
Line of about 6.81metres will be wounded around the drum
