Which function best models the data?
1 answer:
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Answer:
a) e(0,2)
b) 1
c) read below
d) read below
Step-by-step explanation:
Midpoint:
to calculate the midpoint e of a segment
e((x1+x2)/2, (y1+y2)/2)
so (-1+1)/2 and (3+1)/2
e(0,2)
Slope formula:
the slope of a straight line between two points is
so between e and B it's equal to (4-2)/(2-0) = 1
Condition for perpendicularity : slope(AC) = -1/slope(eB) = -1
so we calculate the slope of a straight line through A and C
(1-3)/1-(-1) = -2/2 = -1 so they are perpendicular
Area:
eB is the height of the triangle as it's perpendicular to the base, so applying the standard formula Area = (AC*eB)/2 we can find the area
Answer: A) max at (14, 6) = 64, min at (0,0) = 0
<u>Step-by-step explanation:</u>
Graph the lines at look for the points of intersection.
Input those points into the Constraint function (2x + 6y) and look for the maximum value and minimum value.
Points of Intersection: (0, 0), (17, 0), (0, 10), (14, 6)
Point Constraint 2x + 6y
(0, 0): 2(0) + 6(0) = 0 Minimum
(17, 0): 2(17) + 6(0) = 34
(0, 10): 2(0) + 6(10) = 60
(14, 6): 2(14) + 6(6) = 64 Maximum
