Answer:
C
Step-by-step explanation:
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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<span>About a third of the residents prefer a park improvement of more trees.</span>
Answer:
10 red marbles
Step-by-step explanation:
Total= 45 marbles
Probability of red= 2/9
Number of red= 45*2/9= 10
Answer:
a) none
b) vertical through the middle
c) horizontal through the middle
d) none
Step-by-step explanation:
a) A repeated asymmetrical pattern rarely has a line of symmetry. (I can't think of a case where it does.)
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b) This figure has left-right symmetry about its centerline. (In general, a light bulb will not, because the screw threads are asymmetrical.)
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c) Each of the letters is symmetrical about its horizontal centerline, so the word is as well.
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d) The letter S is symmetrical about its center point, but not about any horizontal or vertical line. This word is not symmetrical about any line.
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