Triangle ABC is translated 2 units right and 5 units down to form triangle A'B'C'. This triangle is then translated 5 units right and 4 units up to form triangle A"B"C". If vertex A is at (-4, 2), what are the coordinates of vertex A”?

A. (3, -1)
B. (3, 1)
C. (-4, -2)
D. (2, -4)
E. (-11, 1)

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation:

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."

f(x) is   are being squared

g(x) is   increasing by 2

h(x) is adding .25 each time

k(x) is taking the square root

f(x) and k(x) are exponential functions