URGENT MAX 100 POINTS WILL BE REWARDED IF THE FIRST ANSWER NOT RELEVANT THAN I WILL CHOSE THE BEST ANSWER THANK YOU HAVE A SPECTACULAR DAY!!! A yacht race follows a triangle course that has been mapped on to a Cartesian plane. The scale on the axes indicates distances in kilometres. The race begins and ends at the origin?
a. Calculate the length of each leg of the race?
b. Calculate the total racing distance?
c. If an observer’s boat is located at the midpoint of the second leg of the race, calculate the distance between this boat and the finishing point?

Let the points be A,B,C

#A

(leg3)

(leg1)

(leg2)

#B

We have to find perimeter

#C

The length of leg3=17.4units

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is