Answer:
3/5
Step-by-step explanation:
Self explanatory.
We are given that:
side length = 8 3/2 inches = 9.5 inches
the rule for the area is: A = s^2
Substitute with the side length in the rule given to get the area as follows:
Area = s^2 = (9.5)^2 = 90.25 inch^2
Answer:
2x -y ≥ 4
Step-by-step explanation:
The intercepts of the boundary line are given, so it is convenient to start with the equation of that line in intercept form:
... x/(x-intercept) + y/(y-intercept) = 1
... x/2 + y/(-4) = 1
Multiplying by 4 gives the equation of the line.
... 2x -y = 4
This line divides the plane into two half-planes. The half-plane that is shaded is the one for larger values of x and/or smaller values of y than the ones on the line. So, for some given y, if we increase x we will get a number from our equation above that is greater than 4. Hence, the inequality we want is ...
... 2x -y ≥ 4
We use the ≥ symbol because the line is solid, so part of the solution space.
First, simplify out the brackets:
-20 - 4n = -12
Then, combine like terms by moving the -20 to the other side
-4n = -12 + 20
-4n = 8
Divide by -4 on both sides to isolate the n
n = 8/-4
n = -2