You cut a styrofoam ball in half for a project. Find the surface area of each half of the styrofoam ball.
1 answer:
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9514 1404 393
Answer:
graph Y
Step-by-step explanation:
The inverse function can be found by solving ...
x = f(y)
x = -3y +3
x -3 = -3y . . . . . subtract 3; next, divide by -3
y = -1/3x +1 . . . . . matches graph Y
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<em>Additional comment</em>
Writing the original equation in standard form can help you see its intercepts.
3x +y = 3
3x = 3 ⇒ x = 1 . . . . x-intercept (at y=0)
y = 3 . . . . y-intercept (at x=0)
The inverse function has the x- and y-intercepts swapped, so you're looking for a line through (0, 1) and (3, 0). The lower left graph (Y) is that graph.
In counterclockwise order that's
R(2,4), Q(-4,4), U(-4,3), T(2,-3), S(5,-3)
That's a trapezoid, height 7 upper base 6, lower base 9, so average base 15/2 and area 7(15)/2 = 105/2 = 52.5.
Answer: 52.5
The shoelace theorem gives the answer without thinking. We write the list on top of itself shifted and add up the cross produces:
R(2,4), Q(-4,4), U(-4,-3), T(2,-3), S(5,-3)
Q(-4,4), U(-4,-3), T(2,-3), S(5,-3), R(2,4),
ANSWER
EXPLANATION
The given expression is;
Change everything to
and
This implies that,
Cancel the common factors,