Answer:So first, I found the length of the sides and the diagonal of the square, which are 18−−√ and 6 respectively. By graphing, I know the solution is (0,−1). Then, I assume that since the length between (3,2) and (−3,2) is the diagonal, then the distance between (0,5) and the remaining vertex must be the diagonal too. And since the length of the side is 6, then the distance between the vertex and either (3,2) or (−3,2) must be 6. So:
(x−3)2+(y−2)2−−−−−−−−−−−−−−−√=18−−√
(x−0)2+(y−5)2−−−−−−−−−−−−−−−√=6
Which gives (after a bit of cleaning up):
x2+y2−10y=11
x2−6x+y2−4y=5
Then, replacing the second expression into the first one:
x2−6x+y2−4y=5⇒x2=5+6x−y2+4y
5+6x−y2+4y+y2−10y=11
5+6x+4y−10y=11
6x−6y+6
x−y=1
x=1+y
Up to this point, I know I'm not entirely wrong because the expression is true for the actual coordinates of the vertex, because 0=1+(−1) is true. But I wouldn't know how to proceed if I hadn't known the answer beforehand. I need to find both x and y, is there a linear equation I'm missing to find the exact coordinates of the last vertex? Is my process okay or is there a simpler way to do it?
Step-by-step explanation:
If you want to figure out how much it is an hour you need to convert 1 hour into minutes. 1 hour = 60 minutes After you've figured out your conversion multiply the rate and units. .05(60) When you multiply that you should get 3 as your answer.
The only difference between speed and velocity is that velocity also includes direction, so if the speed is the same but the velocity is changing, that means that the direction is changing on the ride, but the speed is staying the same.
Answer: Inconsistent.
Step-by-step explanation:
The equation of the line in Slope-intercept form is:

Where m is the slope and b is the y-intercept.
Solve for y from each equation:
Equation 1:

Equation 2:

A system of equations can be classified by its number of solutions.
You can observe that the slopes of both equations are the same but the y-intercepts are different, then these lines are parallel, which means that they do not intersect.
By definition, when to lines are parallel there is NO SOLUTION and the system is classified as "Inconsistent".
Sum means add.
So, we'd need to add
4 5/6 + 3 5/6
5/6 + 5/6 = 10/6, or 1 4/6, or 1 2/3.
4 + 3 = 7
7 + 1 =8
8 2/3 is your answer.
Glad I could help, and good luck!