Answer:
.
Step-by-step explanation:
The equation is
y = 200+50x
This is not a proportional relationship because it does not go through the origin
If x=0, y does not equal 0
Answer:
Since the focus is at (-6,-11) and the directrix is at y=9:
The vertex is halfway between the focus and the directrix, so the vertex is at (-6,-1). (Draw this on graph paper if that doesn't make sense.)
The general form (conics form) of a parabola: 4p(y-k)=(x-h)^2 (vertex is (h,k) and "p" is the distance between the focus and vertex (or between vertex and directrix)).
(h,k) = (-6,-1)
p = 10 (distance between focus and vertex), so 4p = 40.
Therefore:
40(y+1)=(x+6)^2
Or if you need to rearrange to "vertex form": y=(1/40)(x+6)^2 - 1
Step-by-step explanation:
Now, as you can see - these are ordered pairs. So, in order to find possible solutions - we have to plot this inequality on a graph!
So, let's do this. I am using GeoGebra in order to graph this inequality.
Alright, so... Now I'm going to go through, and look at each ordered pair and see if they are covered by the shaded region!
Answer A: False
Answer B: False
Answer C: True
Answer D: True
Answer E: True
Answer F: True
Hopefully, this helps you! =)
Answer:
The amount of wood left is 36 9/16 in
Step-by-step explanation:
Here, we want to get the amount of wood left
To calculate this, we have to subtract what is cut and what is wasted from the original total length
So we have what is left as follows;
45 1/2 - 8 7/8 - 1/16
45 1/2 = 91/2
8 7/8 = 71/8
91/2 - 71/8 - 1/16
(728 - 142 - 1)/16
585/16 = 36 9/16 in