Answer:
z = 3
Step-by-step explanation:
Since the points are collinear then the slopes between the points are equal.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)
m =
= 1
Repeat with
(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )
m =
=
, then
= 1 ( multiply both sides by 5 )
z + 2 = 5 ( subtract 2 from both sides )
z = 3
No, Vijay cannot fit all cubes into the box.
Solution:
Total number of cubes = 50
Volume of each cube = 1 cubic inch
Number of cubes fit in the bottom of the box = 12
Area of the box<em> = l</em> × <em>b</em> = 12 square inch
Height of the box = 4 inch
Volume of the box = <em> l</em> × <em>b </em>× h
= 12 × 4
Volume of the box = 48 cubic inch
So, 48 cubes can only fit in the box.
Hence, Vijay cannot fit 50 cubes into the box.
Add 20ft+16ft=36ft+3.14=3.50 this is the correct answer