Point Q is the image of Q(-4,7) under a translation by 4 units to the right and 2 units down.
2 answers:
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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!)
Answer:
Distinct ways in which they all can form the teams for the class = n(n-1)
Step-by-step explanation:
Total numbers of students = n (even number)
Number of student in each team = 2
Number of distinct ways are there to form the teams for the class:
where = n = number of elements = n
k = number of elements choose = 2