Help with this math question please
1 answer:
You can solve this as though it were an equation.
x² +8x -48 < 0
(x +12)(x -4) < 0
These factors change sign at x=-12 and at x=+4.
For x < -12, both factors are negative, so their product is positive.
For -12 < x < 4, the left factor is positive and the right factor is negative, so the product is negative. Values of x in that interval are solutions to the equation.
For 4 < x, both factors are positive, so their product is positive.
In interval notation, the solution is x ∈ (-12, 4).
x² +8x -48 < 0
(x +12)(x -4) < 0
These factors change sign at x=-12 and at x=+4.
For x < -12, both factors are negative, so their product is positive.
For -12 < x < 4, the left factor is positive and the right factor is negative, so the product is negative. Values of x in that interval are solutions to the equation.
For 4 < x, both factors are positive, so their product is positive.
In interval notation, the solution is x ∈ (-12, 4).
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The area of the convex polygon is 43/2 square units
<h3>How to determine the area of the convex polygon?</h3>The vertices are given as:
(0,5), (-1,2), (4,4), (-3,-4) and (2,0)
The area is then calculated as:
So, we have:
Evaluate
Remove the absolute bracket
This gives
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