A company has two packaging machines in a unit, each with a different daily capacity. The capacity of machine 1 is defined by the function
fm) = (m + 4)2 + 100, and the capacity of machine 2 is defined by the function gim) = (m + 12)2 - 50, where m is the number of minutes the
packaging machine operates. Create the function (m) that represents the combined capacity of the two machines.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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step-by-step explanation:

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step-by-step explanation:

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4