Step-by-step explanation:
slope interception formula is
y-y1=m(x-x1)
where m is m=y-y1/x-x1 in this case m=-2 because the line we are trying to find is parallel to the given one y=-2x-6 where slope k=-2
so the final equation would be
y-1=-2(x-(-4))
y-1=-2x-2*4
y=-2x-8+1=-2x-7
Answer:
34107cm
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The technical probability of rolling any number on a standard die is 1/6 because there's six numbers. Based on that, since he rolled a "4" on 5 tosses, it seems likely that it's 30 times, because 1/6 of 30 is 5. I haven't done probability in awhile but if I remember correctly that should be right
Given:
The two functions are:


To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
- If a>0, then the graph shifts a units left.
- If a<0, then the graph shifts a units right.
- If b>0, then the graph shifts b units up.
- If b<0, then the graph shifts b units down.
We have,


The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get

Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).
Step-by-step explanation:
2x-3/(2x+80)=-1( . ) ( . )
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