9) State the coordinates of the endpoints of a line segment that intersects the y-axis.
1 answer:
Answer:
(5,4) and (3,4)
Step-by-step explanation:
A line segment has 2 end points which can be denoted as:
and
When this line segment intersects at y.
This means that the coordinate on the y axis is the same at both end points
i.e.
and
becomes
and
x1 and x2 can be any value but the y value must remain unchanged
Using the above analysis, a possible coordinate is:
and
Note that there are as many answers as possible as long as the coordinate pair satisfy is of the form <em> and </em>
<em />
Take for instance, another possible pair is:
and
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We are given these three people age below:
- Jim's age
- Carla's age
- Tomy's age
We define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.
- Jim's age = x
Next, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.
- Carla's age = x+5
Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).
- Tomy's age = 6+(x+5)
The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.
Combine like terms and solve for x.
Then we substitute the value of x in ages to find these three people ages.
- Jim's age = x = 5
- Carla's age = x+5 = 5+5 = 10
- Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.
Answer
- Jim's age = 5
- Carla's age = 10
- Tomy's age = 16