91Ó°ÊÓ

The stress in the material of a pipe subject to internal pressure varies directly with the internal pressure and the internal diameter of the pipe and inversely with the thickness of the pipe. The stress is 100 pounds per square inch when the diameter is 5 inches, the thickness is 0.75 inch, and the internal pressure is 25 pounds per square inch. Find the stress when the internal pressure is 40 pounds per square inch if the diameter is 8 inches and the thickness is 0.50 inch.

If the point (-1,6) is shifted 2 units to the left and 4 units up, what are its new coordinates?

Find all points having an \(x\) -coordinate of 3 whose distance from the point (-2,-1) is \(13 .\) (a) By using the Pythagorean Theorem. (b) By using the distance formula.

If a circle of radius 2 rolls along the \(x\) -axis in quadrants \(I\) and II, what is an equation for the path of the center of the circle?

A circle of radius 7 rolls along the \(y\) -axis in quadrants \(I\) and IV. Find an equation for the path of the center of the circle.

The midpoint of the line segment from \(P_{1}\) to \(P_{2}\) is (-1,4) If \(P_{1}=(-3,6),\) what is \(P_{2} ?\)

The High Roller observation wheel in Las Vegas has a maximum height of 550 feet and a diameter of 520 feet, with one full rotation taking approximately 30 minutes. Find an equation for the wheel if the center of the wheel is on the \(y\) -axis.

Located in Al Raha, Abu Dhabi, the headquarters of property developing company Aldar is a vertically circular building with a diameter of 121 meters. The tip of the building is 110 meters aboveground. Find an equation for the building's outline if the center of the building is on the \(y\) -axis.

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer. Containing the points (1,3) and (-1,2)

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer. Slope undefined; containing the point (2,4)