10 is the answer................
Step-by-step explanation:
as we have a point and the slope, we can start with the point-slope form and then transform.
the point-slope form is
y - y1 = a(x - x1)
(x1, y1) being a point on the line, a being the slope.
the slope-interceot form is
y = ax + b
a being the slope again, b being the y-intercept (the y value for x = 0).
so, we have
y - -5 = 5/2 × (x - -4)
y + 5 = 5/2 × (x + 4) = 5x/2 + 5×4/2 = 5x/2 + 10
y = 5x/2 + 5
or
y = (5/2)x + 5
and this is already the slope-intercept form. all done.
So u already know that the radius is half of the circle which in this case is 28 mm. And both circles at the top touch both sides of the rectangle.
Process:
28x4=112.
This is the top side, but because you could fit 2 circles at the top and you know the measurement, it is common sense to think that it would be the same on the other side. So the area of the square/ rectangle:
112x112= 12,534 mm
First of all get a picture of what this looks like. Desmos is a pretty good graphing program, but anything that will do polar coordinates will work.
Here is the graph.
What you can see is that this graph is symmetrical around the x axis.
When you talk about symmetry, you can think of it as taking a mirror and putting it where you think there is symmetry. If you can't tell the difference between the image and the real thing, then you have symmetry.
In this case, the mirror will show symmetry along the x axis and no where else.