a rectangle of perimeter 100 units has the dimensions shown. Its area is given by the function A = w(50 - w). What is the GREATE
1 answer:
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WX and ZY make up the legs, as illustrated in the diagram.
Since it is an isosceles trapezoid, the legs are congruent; that means
6<em>x</em> + 5 = 8<em>x</em> - 3
When solving this equation, we do not want a variable on both sides. We will cancel the 6<em>x</em> to avoid negatives:
6<em>x</em> + 5 - 6<em>x</em> = 8<em>x</em> - 3 - 6<em>x</em>
5 = 8<em>x</em> - 3 - 6<em>x</em>
Combine like terms:
5 = 2<em>x</em> - 3
Cancel the 3 by adding:
5 + 3 = 2<em /><em>x</em> - 3 + 3
8 = 2<em>x</em>
Cancel the 2 by dividing:
8/2 = 2<em>x</em>/2
4 = <em>x</em><em />
Since it is an isosceles trapezoid, the legs are congruent; that means
6<em>x</em> + 5 = 8<em>x</em> - 3
When solving this equation, we do not want a variable on both sides. We will cancel the 6<em>x</em> to avoid negatives:
6<em>x</em> + 5 - 6<em>x</em> = 8<em>x</em> - 3 - 6<em>x</em>
5 = 8<em>x</em> - 3 - 6<em>x</em>
Combine like terms:
5 = 2<em>x</em> - 3
Cancel the 3 by adding:
5 + 3 = 2<em /><em>x</em> - 3 + 3
8 = 2<em>x</em>
Cancel the 2 by dividing:
8/2 = 2<em>x</em>/2
4 = <em>x</em><em />
Answer:
180 ways
Step-by-step explanation:
Aerospace companies (A) = 5
Energy development companies (D) = 3
Electronics companies (E) = 4
Number of aerospace stocks bought (a) = 2
Number of Energy development stocks bought (d) = 2
Number of Electronics stocks bought (e) = 2
The number of ways that the investor can select his six investments from the recommended list is given by the combination of picking two out five aerospace companies, multiplied by picking two out three energy development companies, multiplied by picking two out four electronics companies:
There are 180 ways for the investor to select the six companies.