Answer: y=4x
Step-by-step explanation:x y
0 0
1 4
2 8
3 12
From the above data:
we can say that y varies directly with x.
Direct variation states that if y is expressed as the product of some constant number k and x.
i.e y=kx
Answer:
[?] = 3
Step-by-step explanation:
Answer:
1800
Step-by-step explanation:
Given in the question a polygon of 12 sides
Formula to calculate sum of interior angles of 12-gon is
<h3> (n – 2)180</h3>
where n is the number of sides
which in this case = 12
plug values in the formula above
(12 - 2)180
12*180 - 180(2)
2160 - 360
1800
Sum of measurements of the interior angles of a 12sided polygon is 1800
Answer:
D. x<2
Step-by-step explanation:
-1+ 6-1-3x) >- 39 - 2x
Multiply the parentheses by 6
- 1-6 - 18x > - 39 - 2x
Calculate
7- 18x > - 39 - 2x
Move the terms
18x + 2x > -39 +7
Collect like terms Calculate
- 16x>-32
Divide both sides by - 16
x < 2
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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