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:
Hello,
Here is your answer:
The proper answer to your question is "1/18".
Here is how:
8*6=48
9*6=54
-
5*9=45
6*9=54
48-45=3
Which is 3/54!
3/3=1
54/3=18
Which means your answer is 1/18!
If you need anymore help feel free to ask me!
Hope this helps!
Answer:
A. {(-4,-6), (-3,-2), (1,-2), (1,0)}
Step-by-step explanation:
12,345,000 divided by 10 is 1,234,500 so that is the answer
Given parameters:
Charge per month = $65
Percentage on rent= 6%
Amount paid by Jack per month = $164
Unknown:
Monthly rent on his property = ?
Solution:
Monthly rent on his property can be found by;
Amount paid by Jack per month = Charge per month + 6% of monthly rent
Let the monthly rent = x ;
So;
164 = 65 + 
x
164 - 65 = 
99 =
6x = 9900
x = 1650
Monthly rent on his property is $1650
