What are the coordinates of the point 3/4 of the way from a to b when a= (-5,-4) and b=(-3,3)

(3.5,5.25)

Step-by-step explanation:

the difference between the x values are 2 and dividing that by 4 is 0.5 and multiply by 3 as it is three quarters of the way so it equals 1.5. Move point a on its x axis to the value 3.5. the difference between the y values is 7 and dividing that by 4 is 1.75 and multiply by 3 which is 5.25. move points on its y axis to the value 1.25. the end coordinates are (3.5,5.25)

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2