Answer:
Bumby Avenue is represented by the line:
y = -4*x - 7.
Primrose Avenue can be represented with:
8x + 2y = 17.
We may want to find the point where both avenues intersect.
Let's isolate y in this second equation:
2y = 17 - 8x
y = 17/2 - 8x/2 = -4*x + 17/2
Now we can see that the equation for Primrose Avenue has the same slope than the equation for Bumby Avenue, and when two linear equations have the same slope, means that the lines are parallel.
Then we can conclude that Primrose Avenue and Bumby Avenue are parallel, so they never meet eachother.
Answer:
approximately 42.05
Step-by-step explanation:
We know that the distance formula is
, so if we use (3,8) as point 2 and (21, -30) as point 1 (note that these are interchangeable), we know that
x₂=3
y₂=8
x₁=21
y₁=-30
Then, we can plug it into the formula to get 
A definitely has to be one because it's a fact and you need to know what it looks like. B isn't true because the greatest integer function rounds down values. C is also not correct because a one-to-one graph has one x-value for every y-value. This one doesn't. D has to be true because f[0] = 0 because the Greatest Integer Function requires it to be. And E is also correct because that's in the definition of a Greatest Integer Function. So, your answers are A, D and E.
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