Answer:
1. True
2. False
3. True
Step-by-step explanation:
1. (x,y) = (3,1). x = 3; y = 1
2. Vertical is y and horizontal is x
3. The origin is (0,0), The only time these two x and y axis intercept.
Answer:
the ball takes 3.1944 sec
Step-by-step explanation:
The dimensions of the prism can be 2x, 2x+3 and x+6.
We first factor out the GCF of the trinomial. The GCF of the coefficients is 2. Each term has an x in common as well, so the GCF is 2x.
Factoring out the 2x, we have
2x(2x²+15x+18).
To factor the remaining trinomial, we find factors of 2*18=36 that sum to 15. 12*3 = 36 and 12+3 = 15. We split up 15x into 12x and 3x:
2x(2x²+12x+3x+18)
Now we group together the first two terms in parentheses and the last two:
2x((2x²+12x)+(3x+18))
Factor out the GCF of the first group:
2x(2x(x+6)+(3x+18))
Factor out the GCF of the second group:
2x(2x(x+6)+3(x+6))
Factoring out what these have in common,
2x(x+6)(2x+3)
Your answer is 3x^2+14x+2 / x^3+5x^2+4x