The endpoints of DEF are D(1, 4) and F(16, 14). Determine and state the coordinates of point E, if
DE: EF = 2:3.

The coordinates of point E are (7,8).

Step-by-step explanation:

Point E:

Is given by (x,y).

DE: EF = 2:3.

This means that, for both coordinates x and y:

x-coordinate:

x-coordinate of D: 1

x-coordinate of F: 16

y-coordiante:

y-coordinate of D: 4

y-coordinate of F: 14

The coordinates of point E are (7,8).

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.