Find the coordinates of point B along a directed line segment from A(3,4) and C(3,9) so that the ratio o
to BC is 4:1.

Point B is (3, 8)

Step-by-step explanation:

Hello, Jacky,

Note that points A and C have the same x-coordinate and thus lie on the same vertical line, which is x = 3.  To determine the length of this directed line segment, we need only subtract 4 from 9, obtaining 5.

Now if we start at (3,4), move up 4 units along this vertical line, plot a point there, and finally move 1 more unit along this line to C(3, 9), we will have partitioned the line in the ratio 4:1.  To find the coordinates of this point, we simply take x = 3 (see above) and add 4 to y = 4), obtaining the point (3, 8).  This is Point B.

Point B is (3, 8)

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice