Express the sum in the simplest form 3x/x+5 + 7/x+5
2 answers:
<h2>Answer:</h2>
The sum of the given expression in simplest form is:
We are asked to sum up two rational function.
The first rational function is:
and the other i.e. second rational function is given by:
Now, on adding these two i.e.
Since both the terms have the same denominator.
Hence, the denominator is taken as one and the quantities in the numerator are added up.
Hence, the expression is given by:
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In this attached picture according to the conditions of the problem we have an isosceles trapezoid and since we know that legs are equal (AD=BC=5 cm), we have to calculate bases and height in order to find the area. Working with the triangle BCD, we apply Pythagoras theorem and find that CD = = 10 cm. Since BDC is a right triangle, applying theorem for the area of triangles, we find that
and BF=
. Since ABCD is an isosceles trapezoid, triangles ADE and BFC are congruent with Angle Side Angle theorem. Then, DE=FC and with the help of Pythagoras theorem, DE=FC=2.5 cm. Then, AB=EF=5 cm and the area of the trapezoid is
