Homework help?? 3 challenging problems?
P(x)=?????
Find the slope of the line passing through the points
(a, -3a+2) and (a+h, -3(a-4h)+2))
M=????
An open rectangular box (no top) with volume 9 cubic meters has a square base. Express the surface area S of the box as a function of the length x of one of the sides.
S(x)=????
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2] Let the other side of the rectangle be y, so the area is:
xy, which is 77 so,
xy = 77, so
y = 77/x
The perimeter, P = 2x + 2y, so substitute y = 77/x, and you get
P = 2x + 2*77/x, so,
P = 2x + 154/x
3] I`m assuming that x is the side of the base. Let y be the
height of the box.
V = 9 = x^2y, so,
y = 9/x^2
Total surface area of the box = area of base add area of the
four sides, so,
S = x^2 + 4xy, so substitute y = 9/x^2, and you get:
S = x^2 + 4x*9/x^2,so,
S = x^2 + 36/x
Hope this helps, Twiggy.
if you need to know how i got that…
M=(y1)-(y2) / (x1)-(x2)
M=(-3a+2) – (-3(a-4h)+2) / (a) – (a+h)
M=(-3a+2 + 3a+4h+2) / (a) – (a+h)
M=(2 + 4h+2) / (h)
M=(4h+2) / (h)
M=(4+2) / 1
M=6/1
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