<h2>
Answer:</h2>
The graph is shown in the Figure below
<h2>
Step-by-step explanation:</h2>
In this exercise, we have an equation. On the left side we have a straight line with slope
and there is no any y-intercept. On the right side, on the other had, we also have a straight line, but the slope here is
. Therefore, by plotting these two straight lines, we have that the solution is the origin, that is, the point
.
<span>Solving for the slope using points ( (−4, 15), (0, 5)</span>
M = ( 15 – 5) / ( -4 – 0) = -5 / 2
Solving for b
<span>
Y = mx + b</span>
5 = 0(-5/2) + b
B = 5
So the linear function is
<span>Y = (-5/2) x + 5</span>
Answer:
I hope I'll help you with this but I am not sure of it all...
The area of the shaded region is 46,77
Step-by-step explanation:
To determine the area of the shaded hexagon, we must first calculate te area of the whole shaded hexagon and minus that by the white little hexagon.
The formula to calculate the area of a hexagon is (3√3 s2)/ 2
(where s = one side of the hexagon)
if one side a the little white hexagon equals 6 ft;
3√3 6ft.2/2 = 18√3/2 = 9√3
now for the bigger hexagon where one side is 12 ft;
3√3 12 ft.2/2 = 72√3/2 = 36√3
now the area of the bigger one minus the area of the smaller one;
36√3 - 9√3 = 46,77