Determine if the two lines are parallel, perpendicular, or neither. Show the work used to get your answer
1 answer:
Answer:
Perpendicular
Step-by-step explanation:
[1] We need to find the slopes of both lines! First, we will put them into standard form and then solve.
Standard form: y=mx+b
(1) 10x + 2y = 4
(subtract 10x from both sides)
2y = -10x + 4
(divide both sides by 2)
y = 5x+2
The slope is 5
(2) 5y - x = -5
(add x to both sides)
5y = x - 5
(divide both sides by 5)
y = x - 1
The slope is one-fifth
[2] Then, we need to determine if they are parallel, perpendicluar, or neither.
- If they are parallel they will have the same slope
- If they are perpendicular they will have exact opposite slopes
() Line 1 has a slope of 5 and line two has a slope of one-fifth. These are exact opposites so the lines are perpendicular.
(I hope this is correct and helped, have a nice day!)
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Answer: The value of x =2 units.
Explanation:
Since we have given that
AD= CD
BE= EA
So, we get that D and E are the mid-points of AC and AB respectively.
So, by Mid- point theorem , which states that the line joining the two midpoints is parallel to third side and it is half in length of third side i.e.
So, we put the value of DE and BC ,
Hence, the value of x =2 units.
