The solution is 5x+ 5y = 15
Answer:
3x + 6y
Step-by-step explanation:
so the perimeter is 12x + 8y and a side is 4x-2y so that means that side and the side across is 8x-4y so you put it all to one side to get 6x +12y then divide that by 2 to find 1 side so the side is 3x + 6y
Answer:
open circle btw
Step-by-step explanation:
step 1: go to the right where the 3 is
step 2: go to the little dash the 1st one on the right of the 3
step 3: circle the dash and make an arrow going to the right
Answer: The answer is (b) ![x^3-x^2-26x-24.](https://tex.z-dn.net/?f=x%5E3-x%5E2-26x-24.)
Step-by-step explanation: We are given four polynomials and we are to check which one of them has roots -4, -1 and 6. Obviously, if putting these three values of 'x' in a polynomials yields 0, then that particular value will be a root of that polynomial.
Let us denote the polynomials as follows -
![P(x)=x^3-9x^2-22x+24,\\\\Q(x)=x^3-x^2-26x-24,\\\\R(x)=x^3+x^2-26x+24\\\\\textup{and}\\\\S(x)=x^3+9x^2+14x-24.](https://tex.z-dn.net/?f=P%28x%29%3Dx%5E3-9x%5E2-22x%2B24%2C%5C%5C%5C%5CQ%28x%29%3Dx%5E3-x%5E2-26x-24%2C%5C%5C%5C%5CR%28x%29%3Dx%5E3%2Bx%5E2-26x%2B24%5C%5C%5C%5C%5Ctextup%7Band%7D%5C%5C%5C%5CS%28x%29%3Dx%5E3%2B9x%5E2%2B14x-24.)
Let us check for x = -1 first. So, substituting x = -1 in all the four polynomils, we get
![P(-1)=36\neq 0,~~Q(-1)=0,~~R(x)=50\neq 0~~\textup{and}~~S(x)=-30\neq 0.](https://tex.z-dn.net/?f=P%28-1%29%3D36%5Cneq%200%2C~~Q%28-1%29%3D0%2C~~R%28x%29%3D50%5Cneq%200~~%5Ctextup%7Band%7D~~S%28x%29%3D-30%5Cneq%200.)
Therefore, only possibility is Q(x).
If we put x = -4 and x = 6 in Q(x), we find that
![Q(-4)=0~~\textup{and}~~Q(6)=0.](https://tex.z-dn.net/?f=Q%28-4%29%3D0~~%5Ctextup%7Band%7D~~Q%286%29%3D0.)
Thus, the correct option is (b) ![x^3-x^2-26x-24.](https://tex.z-dn.net/?f=x%5E3-x%5E2-26x-24.)
Answer:
Consistent.
Step-by-step explanation:
Since there is one solution ( the lines intersect), the equations are consistent
They would be inconsistent if the lines do not intersect
The would be equivalent if they are the same line