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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Using the proportion given, there will be 57 catfish in the pond.
The proportion given to us is
5.7/20 = x/200
Cross multiply:
5.7*200 = 20*x
1140 = 20x
Divide both sides by 20:
1140/20 = 20x/20
57 = x
Answer:
The bottom left square of the triangle in 90 degrees always so take 90 + 40 giving you 130,
a Triangle has 180 degrees in total so 180 -130 = 50 degrees for the last side
Answer:
0.2
Step-by-step explanation:
30: 1
6:?
cross multiply
(6*1)/30
ans:0.2cm
Non negative real numbers (y20)
Answer: Option B.
<u>Explanation:</u>
A non negative real number is a real number that that is either positive or zero. It's the association of the normal numbers and the number zero. In some cases it is alluded to as Z*, and it tends to be characterized as the as the set {0,1,2,3,… ,}. Z, the arrangement of whole numbers, is characterized as {… ,- 3,- 2,- 1,0,1,2,3,… }.
Since zero is commonly viewed as unsigned (neither positive nor negative) at that point, truly, it ought to be remembered for a lot of non-negative genuine numbers since it 'fits' the name. On the off chance that you needed to avoid zero, you could request the positive genuine numbers or the negative genuine numbers.
