Evaluate: \(\, \dfrac{i^2 + 1}{i} \div \dfrac{i − 1}{i^2 − 1}\)

What is the sum of the \(x\) and \(y\) coordinates of the midpoint between the points \((−2, 9)\) and \((10, −4)\)?

A group of 6 students are going to have a vote to determine who should be President, Vice President, Secretary, and Treasurer with only 1 person per job. How many different groups can be formed from the 6 students?

In the figure above, A, C, D, and E are collinear; B, C, and F are collinear; and the angles at B, D, and F are right angles, as marked. Which of the following statements is NOT justifiable from the given information?

If (3.1358)(10\(^x\)) = 0.0000031358 what is the value of \(x\)?

A triangle is composed of angles represented as: \(2x + 15, 3x + 25,\) and \(x + 20\)

What is the value of \(x\)?

\(\dfrac{−2x + 3y(2x − 4)}{4x − 2y} = \; ?\)

The curve \(y = 0.01x^2 – 3x + 150\) for \(0 ≤ x ≤ 100\) and the line segment from \(F(0,100)\) to \(G(100,0)\) are shown in the standard \((x, y)\) coordinate plane.

What is the \(x\)-coordinate for the point on the curve with a \(y\)-coordinate of \(50\)? (Round to the nearest whole number.)

For \(\Delta ABC\) below, what is \(\cos(C)\)?

On the Cartesian plane, a circle has its center at \((0,0)\). If the point \((5,-5)\) lies on the circle, what is the diameter of the circle?