There are many systems of equation that will satisfy the requirement for Part A.
an example is y≤(1/4)x-3 and y≥(-1/2)x-6
y≥(-1/2)x-6 goes through the point (0,-6) and (-2, -5), the shaded area is above the line. all the points fall in the shaded area, but
y≤(1/4)x-3 goes through the points (0,-3) and (4,-2), the shaded area is below the line, only A and E are in the shaded area.
only A and E satisfy both inequality, in the overlapping shaded area.
Part B. to verify, put the coordinates of A (-3,-4) and E(5,-4) in both inequalities to see if they will make the inequalities true.
for y≤(1/4)x-3: -4≤(1/4)(-3)-3
-4≤-3&3/4 This is valid.
For y≥(-1/2)x-6: -4≥(-1/2)(-3)-6
-4≥-4&1/3 this is valid as well. So Yes, A satisfies both inequalities.
Do the same for point E (5,-4)
Part C: the line y<-2x+4 is a dotted line going through (0,4) and (-2,0)
the shaded area is below the line
farms A, B, and D are in this shaded area.
Answer:
<em>m</em> ≤ 35
Step-by-step explanation:
The variable "m" is no greater than 35.
Note that "no greater" means that it can be up to the certain number (in this case, 35), but cannot exceed it. Your answer will be:
<em>m</em> is less than or equal to 35, or <em>m</em> ≤ 35.
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Answer:
angleB = 41.4°
Step-by-step explanation:
✨ Trigonometry✨
cos theta = adj / hyp
theta = inverse-cos adj / hyp
theta = inverse-cos 12 / 16
theta = inverse-cos .75
theta = 41.4°
*theta is the 0 with a line through it
Answer:
242
Step-by-step explanation: