If anyone could help me with this I'd be really grateful.

A is the point of coordinates (4,6)

B is the point with coordinates (d,21)

The gradient of the line AB is 3

Work out the value of D

Please provide a explanation

d = 9

Step-by-step explanation:

Calculate the slope m of line AB and equate the result to 3

m =

with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(d, 21)

m = = = 3 ( multiply both sides by d - 4 )

15 = 3(d - 4), that is

15 = 3d - 12 ( add 12 to both sides )

27 = 3d ( divide both sides by 3 )

9 = d

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

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c