When the lines are parallel then there is no solution to the system of equations.
This happens because the intersection is the solution. And when there is no intersection then there is no solution.
The constant of proportionality k is 3.5
Step-by-step explanation:
Proportionality describes any relationship that is always in the same
ratio
If two quantities x and y are in proportionality, then
1. y ∝ x
2. y = k x , where k is the constant of proportionality
∵ x ⇒ 6 , 7 , 8 , 9
∵ y ⇒ 21 , 24.5 , 28 , 31.5
∵ y ∝ x
∴ y = k x
- Use x = 6 and y = 21 to find the value of k
∵ x = 6 and y = 21
∴ 21 = k (6)
- Divide both sides by 6
∴ k = 3.5
- Use x = 7 and y = 24.5 to find the value of k
∵ x = 7 and y = 24.5
∴ 24.5 = k (7)
- Divide both sides by 7
∴ k = 3.5
- Use x = 8 and y = 28 to find the value of k
∵ x = 8 and y = 28
∴ 28 = k (8)
- Divide both sides by 8
∴ k = 3.5
- Use x = 9 and y = 31.5 to find the value of k
∵ x = 9 and y = 31.5
∴ 31.5 = k (9)
- Divide both sides by 9
∴ k = 3.5
The constant of proportionality k is 3.5
Learn more:
You can learn more about proportionality in brainly.com/question/10708697
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Answer:
4
Step-by-step explanation:
x = root under 5/2
so it is real and irrational number
Log x+ log 7= log 42
log x=log 42 - log 7
log x=log 42/7 [ log a - log b= log (a/b) ]
log x= log 6
therefore:
x=6
Answer: x=6
Answer:
The sum is rational.
Step-by-step explanation:
-3/8 is a rational number (the ratio of 2 integers)
3/5 is a rational number (the ratio of 2 integers)
When you add 2 rational numbers, you get a rational number.
