The difference of a positive integer and its inverse is 15/4. find the integer
1 answer:
If the integer is x, and the inverse is 1/x, we have x-1/x=15/4 (since difference is subtraction). Multiplying both sides by x, we get x²-1=15x/4. Next, we can subtract 15x/4=3.75x from both sides to get x²-3.75x-1=0. Using the quadratic formula, we get 
Since it has to be a positive integer, we get x=4
Since it has to be a positive integer, we get x=4
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Answer:
(,
) = (30, 16)
Step-by-step explanation:
First find the similarity
Since you know the legnth of the hypotenuse (the longest one) for both traingles, you can find the similarity by dividing the longer by the shorter:
50 ÷ 20 = 2.5
The similarity between the 2 triangles is 2.5.
Now find the length of on the longer one, use the shorter one's length and the similarity:
12 × 2.5 = 30
So the length of is equal to 30
Now lets find , lets use the length of the larger triangle this time and divide the length of the longer leg (there are 2 legs in every triangle, if you don't know the hypotenus's length, use the pythagorean theorem) and divide it by the similarity:
40 ÷ 2.5 = 16
= 16
WooHoo! (,
) = (30, 16)