Verify that quadrilateral bcde is a rhombus with vertices b(5, -1), c(-2, 0), d( -1, 7) and e(6, 6) by showing that all four sides are equal.
a. bd = ce = √50
b. bd = ce = 50
c. bc = cd = de = eb = 50
d. bc = cd = de = eb = √50

Given the equation f(x)=a(b)x where the initial value is 40 and the growth rate is 20% what is f(4)

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

Evaluate this using ! 0.25^2 x 2.4 + 0.25 x 2.4^2 − 0.25 x 2.4 x 0.65