Line g is dilated by a scale factor of 3 from the origin to create line g'. where are points e' and f' located after dilation, and how are lines g and g' related?

the locations of e' and f' are e' (−4, 0) and f' (0, 2), and lines g and g' are the same line.

the locations of e' and f' are e' (−2, 0) and f' (0, 1), and lines g and g' intersect at point f.

the locations of e' and f' are e' (−1, 0) and f' (0, 0), and lines g and g' are not related.

the locations of e' and f' are e' (−12, 0) and f' (0, 6), and lines g and g' are parallel.

What is the solution to the equation below? 3/x-2+6=square root x-2 +8

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

"which statement is necessarily true if bd is an altitude to the hypotenuse of right ? abc? a.) ? adb? ? bdc b.) ? adb~? bdc c.) abbc=acbd d.) ? bac? ? bdc"