Answer:
Step-by-step explanation:
Give the expression ax – c = bx + d, we are isolate x i.e we are to make x the subject of the formula.
ax – c = bx + d
Step 1: subtract bx from both sides
ax – c = bx + d
ax-bx = d+c
Step 2: Factor out x in the left hand side of the resulting expression
x(a-b) = d+c
Step 3: Divide both sides by the coefficient of i.e (a-b)
Hence Victoria can justify the step 3 of her work by dividing both sides of the expression in 2 by a-b
Answer:
length of the photograph will be 4.2 in. after pressing the button 5 times.
Step-by-step explanation:
By pressing the button, every time size of the photograph gets reduced by 12%.
Therefore, the sequence formed by the reduced sizes of the photo will be a geometric sequence and the formula for the size of the reduced image will be,
L =
Where l = Actual length of the photograph
L = length of the reduced image
n = Number of times the button has been pressed
For l = 8 in. and n = 5
L =
=
= 4.22 in
L ≈ 4.2 in.
Therefore, length of the photograph will be 4.2 in. after pressing the button 5 times.