First Year Algebra

Cover First Year Algebra
First Year Algebra
Webster Wells
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Let a = the number of inches in the altitude 2. ;. A + 9 = the number of inches in the base.
3. ... «(«±8) = the area.
2 . A(a + 9) = 11Q 2 . -. A 2 + 9 a - 220 = 0. M?
. -. (a + 20) (a- 11)= 0.
. -. A = 11, or - 20.
4. When a = 11, the base is + 20 and the area is (11 x 20) -~ 2 or 110. This satisfies the conditions of the problem.
When a — — 20, the result can have meaning only if we have triangles with negative altitude. In such cases we agree to take only the positive solution.
EXERCISE 73
...1. Twice the square of a certain number equals the excess of 15 over the number. Find the number.
2. Find three consecutive numbers whose sum is equal to the product of the first two.
3. Divide 18 into two parts so that the sum of the squares of the parts shall be 170.
4. Find two numbers whose sum is 7 and the sum of whose cubes is 133.
5. Determine the base and altitude of a triangle such that the area shall be 15 square feet and the altitude shall be 7 feet less than the base.
6. Central Park in New York covers an area of about 800 acres.


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