Rachel has a toy shaped like a triangular pyramid in which the base and the lateral faces are congruent equilateral triangles. The side lengths of
the triangles are 4 inches. The height of each triangle is about 3.5 inches, Rachel wants to cover all the lateral surfaces except for the base with
yellow paper.
The amount of paper required to cover the lateral surfaces is about ___square inches. If she wants to cover the entire pyramid with yellow paper, she would require about ___more square Inches of paper

The vertex of this parabola is at (-2,-3). when the x-value is -1, the y-value is -5. what is the coefficient of the squared expression in the parabola's equation?

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)

Lines a and b are parallel. what is the value of x? -5 -10 -35 -55