The origin is at the point (0,0). Therefore, the y-intercept will be 0. For two points to be perpendicular, the slopes must be opposite reciprocals of each other. .5 can be seen as 1/2, so the reciprocal is 2, and it is positive, making that 2 negative. Your equation would be y = -2x.
<span>5x= 6x^2 -3
</span><span>6x^2 -5x -3
a = 6
b = -5
c = -3
x = [-b +- sq root(b^2 -4ac)] / 2a
x = [--5 +- </span><span>sq root (25 -(4*6*-3)] / 12
</span><span>x = [5 +- sq root (25 + 72)] / 12
x = [5 + sq root (97)] / 12
x = 5 +- </span><span>9.84886] / 12
x1 = </span><span><span><span>1.237405
</span>
</span>
</span>
<span>
x2 = </span><span><span><span>-0.404072
</span>
</span>
</span>
The slope is the change in Y over the change in X.
Use the two blue dots on the graph :
(-1,0) ans (3,4)
Slope = (4 - 0) / (3 - -1)
= 4 / 4
= 1
Let the width be x, then the length is x + 12.
Area = length x width = x(x + 12) = 589
Solving the quadratic equation, we have that
x = 19 feet
i.e. the width is 19 feet.
The answer is most likely 9.836
