Answer:
Step-by-step explanation:
10 on the y axis and 5 on the x axis
Answer: f(-2)=6.
Explanation: Since -2 is less than 1 you plug it into the top equation for -(-2)+4 = 2+4 =6
Answer: 120
Step-by-step explanation:
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:
? = 109 degrees
Step-by-step explanation:
45 + 75 + _ = 180 ( look for vertical angles)
45 + 75 + 60 = 180
60 +79 + _ = 180 (look for a straight line that forms 180 degrees)
60 + 79 + 41 = 180
68 + 41 + _ = 180 (look for a triangle that adds up to 180)
68 + 41 + 71 =180
180 - 71 = 109 (look for a linear pair)
