6/-32= .1875
since there's one negative it should be -.1875
So that's your answer
-.1875
Answer:
The point (0, 25) is not a solution, but the point (-4, 10) is a solution.
Step-by-step explanation:
You can graph the inequality and check. The first point (0, 25) is on the boundary line, but that line is NOT part of the solution set. The second point (-4, 10) is well inside the solution space.
(0, 25) is not a solution
(-4, 10) is a solution
_____
You can put the values into the inequality and see if a true statement results.
-10(0) +(25) > 25 . . . . False
-10(-4) +(10) > 25 . . . . true
The first point is NOT a solution; the second point IS a solution.
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:
Answer:
The mean is 21.62 which is approximately 22
Step-by-step explanation:
mean= 15+20+10+12+20+16+80+18/8=21.62 because
mean= sum of all numbers/numbers mentioned
The difference would be 9 degrees because -3+9=6
