Find an equation for the line with the given property. (a) It passes through the point (2, −6) and is parallel to the line 4x + y − 10 = 0. It has x-intercept 6 and y-intercept 4.

Step-by-step explanation:

Required

Determine the equation

From the question, we understand that, it is parallel to:

This means that they have the same slope.

Make y the subject to calculate the slope of:

The slope of a line with equation is m

By comparison:

So, the slope of the required equation is -4.

The equation is then calculated as:

Where:

So, we have:

Open bracket

322.9 ft

Step-by-step explanation:

See attachment for the diagram

ro: radius of outer circle

ri: radius of inner circle

Length of inner railing= circumference of inner semi-circle+ twice of inner horizontal sides

Length of inner railing= ri+ 2×(70- ro)

                                    = × 45/2+ 2×(70-65/2)

                                   =145.71 ft

Lenth of outer railing= circumference of outer semi-circle+ twice of outer horizontal sides

                                  = ro+ 2×(70- ro)

                                  = × (65/2) + 2×(70-65/2)

                                  =177.14ft

Total length of railing =177.14+145.71

                                   = 322.85ft