Answer: Choice D) Slopes are the same
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Explanation:
The graph of f(x) is a straight line through the two points (0,3) and (1,1). Those points are the left and right points respectively.
Start at (0,3). To get to (0,1), we move 2 units down and 1 unit to the right. Think of the "2 units down" as a "rise of -2". Negative rise means you're really falling.
So the slope of f(x) is
slope = rise/run = -2/1 = -2
slope = -2
The slope of g(x) is also -2
Note how y = -2x-5 is in y = mx+b form
we see that m = -2 is the slope
b = -5 is the y intercept
So that shows why the two functions have the same slope.
Answer:
14 units
Step-by-step explanation:
We apply the <em>Theorem of reflection over parallel lines.</em>
Theorem: The composition of two reflections over parallel lines that are h units apart is the same as a translation of 2h units.
Given that the two parallel lines are 7 units apart
h=7 units
2h= 2 X 7 =14 units
Therefore, the preimage and the final image will be 14 units apart.
The answer would be 640. To find the number of how many copies are produced in 1 minute you have to write 80 divided by 5 which equals 16. Now you multiply 16 and the 40 minutes which gives you 640 copies.
1. 12×20÷(4+16)=
240÷20=12
2. (31-3)÷14+3 power of 2
28÷14+9
2+9=11
You need to use foil here (first, outer, inner, last).
gxg=g^2
gx2=2g
7xg=7g
7x2=14
g^2-2g-7g+14 then simplify g^2-9g+14 is the answer
