Find the equation of the lines passing through the origin and perpendicular to the lines represented by x²-2xy + y² +5x-2y+1=0. When the general equation of second degree becomes circle? Use it to change the equation x²-5xy + y² +5x-2y+1=0 into the circle. Also find the length of tangent to the circle from the point (3,-3).​

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Asequence {an} is defined recursively, with a1 = 1, a2 = 2 and, for n > 2, an = an-1 an-2 . find the term a241

Which situation can be modeled by the inequality 5 + 10w ≥ 45? a. you start with $5 and save $10 a week until you have at least $45. b. you start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards. c. you start with 5 water bottles and purchases cases of 10 water bottles each until you have a total of 45 water bottles. d. you spend $5 plus $10 per week until you have less than $45.