Answer:
2
Step-by-step explanation:
12/8 is equal to 6/4.
6 divided by 3 is 2.
Answer:
The answer is a point ![(x,y) / x1\leq x\leq x2 , y1\leq y\leq y2](https://tex.z-dn.net/?f=%28x%2Cy%29%20%2F%20x1%5Cleq%20x%5Cleq%20x2%20%20%20%20%2C%20%20y1%5Cleq%20y%5Cleq%20y2)
Step-by-step explanation:
That happens because the points you have are in opposite corners, which means that they are the limits of the rectangle. so any point inside the rectangle is between that segment
Six different ways, for small word problems like this, you can just write it out like (A,B,C), (A,C,B), (B,C,A), (B,A,C), (C,A,B), and (C,B,A) where A=Alice, B=Ben, and C=Carlos
Answer:
The first, second, and fifth statements are correct.
Step-by-step explanation:
We are given a circle with the equation:
![x^2+y^2-2x-8=0](https://tex.z-dn.net/?f=x%5E2%2By%5E2-2x-8%3D0)
And we want to select the statements that are true.
First, we can convert the equation into standard form. We can group each variable:
![(x^2-2x)+(y^2)=8](https://tex.z-dn.net/?f=%28x%5E2-2x%29%2B%28y%5E2%29%3D8)
And complete the square for the first term:
![(x^2-2x+1)+(y^2)=8+1](https://tex.z-dn.net/?f=%28x%5E2-2x%2B1%29%2B%28y%5E2%29%3D8%2B1)
Factor and simplify:
![(x-1)^2+y^2=9](https://tex.z-dn.net/?f=%28x-1%29%5E2%2By%5E2%3D9)
We can rewrite our equation as:
![(x-(1))^2+(y-(0))^2=(3)^2](https://tex.z-dn.net/?f=%28x-%281%29%29%5E2%2B%28y-%280%29%29%5E2%3D%283%29%5E2)
So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.
In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).
Answer:
-6
Step-by-step explanation:
-9x-27=27
-9x=27+27
-9x=54
x=54/-9
x=-6