Use phytagorean theorem to solve the problem
c² = a² + b²
with c as hypotenuse, a and b are the two sides which are perpendicular to each other.
Plug the numbers into the formula
c² = a² + b²
c² = (46.3)² + 39²
c² = 2,143.69 + 1,521
c² = 3,664.69
c = √3,664.69
c = 60.53668..
to the nearest hundredth
c = 60.54
The length of the hypotenuse is 60.54 m
To find out if a set satisfies the inequality, you can either plug in the points into the equation, or you can plug in the points into the graph.
Any point in the shaded area and on the line satisfy the inequality. If the inequality had a sign of < or >, then the point can not be on the line, only in the shaded area.
A.) This is a solution because they are all in the shaded area
B.) This is not a solution because (7,-2) is outside the shaded area
C.) This is not a solution because (3,3) is outside the shaded area
D.) This is not a solution because (2,1) is outside the shaded area
I did some research, and I think it's the first one. PLEASE CORRECT ME IF I'M WRONG!!
Here's why, because the first segment extends from 0 to 1. So, x has to be 0 or larger, but less than 1 or 1.