The black figure is an ellipse, and the black line segment is is major axis. what is the length of the blue line segment?

D

Step-by-step explanation:

The formula we need to solve this is:

Where

 is the distance from one focus to the vertex

 is the second distance from another focus to same vertex

Note: Here, vertex point is the point on top. The common point from which the RED and BLUE line meets the 2 foci

 is half the length of the major axis (which is 9 here since total major axis is given as 18)

Now we can plug into the equation and solve:

D is the correct answer.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.