Let y = [5 5] and u = [6 8] . Compute the distance from y to the line through u and the origin.

The distance d = 1

Step-by-step explanation:

The objective is to compute the distance from y to the line through u and the origin.

Given that :

 and

Recall that:

from the  slope - intercept on the graph, the equation of line can be expressed as :

y = mx + b

where;

m = slope =

b = y - intercept

Similarly, we are being informed that the line  passed through and origin, so ;

the slope m =

=

Also, since the line pass through the origin:

Then

y = mx + b

0 = m(0) + b

b = 0

From y = mx + b

y = mx + (0)

y = mx

3y = 4x

3y - 4x = 0

4x - 3y =0

The distance of a point (x,y) from a line ax +by + c = 0 can be represented with the equation:

∴ the distance from   to the line 4x - 3y = 0  is

The distance d = 1

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

a. she will receive a refund of $278.

step-by-step explanation: