Let one integer be x, the consecutive odd integer is x+2
reciprocals are 1/x and 1/(x+2)
1/x +1/(x+2)=24/143
make the denominators the same:
(x+2)/[x(x+2)] +x/[x(x+2)]=24/143
143(2x+2)=24(x)(x+2)
286x+286=24x²+48x
24x²-238x-286=0
use the quadratic formula: x=22 this doesn't work because 22 is not an odd number.
or x=-2.1666666666 (this is not an integer)
weird.
As a rule , - times - = + and - times + = -
Therefore the correct answer to the question is 2m squared n
No. the product stays the same because it is still the same number, just in fraction form.
Solution:
<u>Note that:</u>
- 2(Perimeter of smaller triangle) = Perimeter of larger triangle
<u>Using the perimeter of the smaller triangle, solve for x.</u>
- 2(Perimeter of smaller triangle) = Perimeter of larger triangle
- => 2(3.5 + x + h) = 7 + 4 + 2h
- => 7 + 2x + 2h = 7 + 4 + 2h
- => 2x = 4
- => x = 2
The length of x is 2 units.
