Acatapult launches a boulder with an upward velocity of 120 ft/s. the height of the boulder, h, in feet after t seconds is given by the function h = -16t^2 + 120t + 10. how long does it take to reach maximum height? what is the boulder's maximum height? what is the boulder's maximum height? round to the nearest hundredth, if necessary.

Giving ad is congruent to bc and angle bcd is congruent to angle adc prove d e is going to ce

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. find the number.