1 answer:
You might be interested in
The length of XY is 17 units
Step-by-step explanation:
A mid-point of a line segment
- Divide it into two equal segments
- Each segment is half the length of it
∵ X is the mid-point of WY
∴ WX = XY
∴ WX = WY and XY =
WY
∵ WX = 3x - 1
∵ WY = 10x - 26
- By using the rule WX = WY
∴ 3x - 1 = (10x - 26)
- Simplify the right hand side
∴ 3x - 1 = 5x - 13
- Add 1 to both sides
∴ 3x = 5x - 12
- Subtract 5x from both sides
∴ -2x = -12
- Divide both sides by -2
∴ x = 6
∵ XY = WX
∵ WX = 3x - 1
∴ XY = 3x - 1
- Substitute the value of x in the expression of XY
∴ XY = 3(6) - 1
∴ XY = 18 - 1
∴ XY = 17 units
The length of XY is 17 units
Learn more:
You can learn more about the mid-point in brainly.com/question/3269852
#LearnwithBrainly
Answer:
The right answer is:
Option OB: f(1) = -9
Common difference: 7
Step-by-step explanation:
Given sequence is:
-9, -2, 5, 12,...
Here the first number is f(1)
Common Difference:
Common difference is the difference between consecutive terms of an arithmetic sequence. It is denoted by d.
In the given sequence,
f(1) = -9
f(2) = -2
f(3) = 5
Hence,
The right answer is:
Option OB: f(1) = -9
Common difference: 7