If δefg ~ δlmn with a ratio of 2: 1, which of the following is true?
a. segment ef over segment lm equals segment fg over segment mn
b. segment ef is congruent to segment lm
c. segment ef over segment lm equals segment eg over segment lm
d. segment eg is congruent to segment lm

Find the missing factor. 7s2 + 25s + 12 = (s + 3)( ).

On a string instrument, the length of a string varies inversely as the frequency of its vibrations. an 11-inch string has a frequency of 400 cylces per second. find the frequency of a 10-icnch string.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 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)