Dora is building the right square pyramid shown in the diagram. The base of the pyramid is labeled ten centimeters. A right triangle is shown within the pyramid. The height of the pyramid, which also is one leg of the right triangle, is labeled seven centimeters. The side opposite the right angle, which is also the height of the triangular face of the pyramid, is labeled k.

What is the length of k rounded to the nearest tenth of a centimeter?

Enter the correct answer in the box.

cm

Write the equation for the parabola that has x− intercepts (−2,0) and (4,0) and y− intercept (0,4).

Which of the following is a function? a.) {(-2, -4/5), (-1,-,,-1)} b.) {(-2,,1/,3/,1)} c.) {(-22)} d.) {(-21)}

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)