Subtracting the second equation by 18 on both sides, we have xy=-18. Next, we divide both sides by x to get y=-18/x Plugging that into the first equation, we have x+2(-18/x)=9. Multiplying both sides by x, we get x^2-36=9x. After that, we subtract both sides by 9x to get x^2-9x-36=0. Finding 2 numbers that add up to -9 but multiply to -36, we do a bit of guess and check to find the answers to be -12 and 3. Factoring it, we get
x^2-12x+3x-36=x(x-12)+3(x-12)=(x+3)(x-12). To find the x values, we have to find out when 0=(x+3)(x-12). This is simple as when you multiply 0 with anything, it is 0. Therefore, x=-3 and 12. Plugging those into x=-18/y, we get x=-18/y and by multiplying y to both sides, we get xy=-18 and then we can divide both sides by x to get -18/x=y. Plugging -3 in, we get -18/-3=6 and by plugging 12 in we get -18/12=-1.5. Therefore, our points are (-3,6) and (12, -1.5)
Answer:
B. 4x + 1
Step-by-step explanation:
4x^2 + 21x + 5
= (4x + 1)(x + 5)
Factors of this trinomial are (4x + 1) and (x + 5)
Answer
(4x + 1)
Answer:
47
Step-by-step explanation:
since each gallon is 4 quarts you would multiply by 11. 44 quarts then add 3 extra quarts to get 47
Answer:
5 units right, 2 units up
120 ways. More details in attachment.
