The area of the square is obtained by taking the square of the length of one side. Since it is said that the area of the square is less than 100 m^2, taking the square root of that where: sqrt (100) = 10, the side of that square should be less than 10 as well. Among the choices, D. 0 <y <10 (where y = length of side of square) is the correct answer.
Answer:
The given point is a solution to the given system of inequalities.
Step-by-step explanation:
Again, we can substitute the coordinates of the given point into the system of inequalities. We know that the x-coordinate and y-coordinate of 
are 
and 
, respectively.
Plugging these values into the first inequality, 
, gives us 
, which simplifies to 
. This is a true statement, so the given point satisfies the first inequality. We still need to check if it satisfies the second inequality though, because if it doesn't, it won't be a solution to the system.
Plugging the coordinates into the second inequality, 
, gives us 
, which simplifies to 
. This is also a true statement, so the given point satisfies the second inequality as well. Therefore, 
is a solution to the given system of inequalities since it satisfies all of the inequalities in the system. Hope this helps!
Let's represent the numbers by : x, x+1, x+2, x+3
x+x+1+x+2+x+3=40 The third number in the sequence is x+2
4x+6=40 8.5+2=10.5
4x+6-6=40-6 Therefore the third number in the sequence is
4x=34 10.5
4x/4=34/4
x=8.5
The equation is already in Standard Form.
80 is a good one to start with.
After that, you can move on to 83, 481, 1687, and 102,974,589 .
