Answer:
r = 9
Step-by-step explanation:
Given
r + 3 = 3(r - 5) ← distribute
r + 3 = 3r - 15 ( subtract r from both sides )
3 = 2r - 15 ( add 15 to both sides )
18 = 2r ( divide both sides by 2 )
9 = r
Answer:
parallel
Step-by-step explanation:
Parallel lines have equal slopes.
Calculate the slopes m using the slope formula
m = 
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (2, 3)
m =
= 
Repeat with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 1)
m =
=
Since slopes are equal then parallel
Answer:
y+8 = 3(x-3)
Step-by-step explanation:
The point slope form of the equation for a line is
y-y1 = m(x-x1)
y- -8 = 3(x -3)
y+8 = 3(x-3)
Answer:

Step-by-step explanation:
Given: Dimensions of a big locker are 0.5 m × 0.6 m × 1.2 m
Dimensions of a small locker are 0.5 m × 0.6 m ×
(as height of small locker is half the height of big locker )
To find: total volume of one big locker and one small locker
Solution:
Volume of cuboid = length × breadth × height
Total volume of one big locker and one small locker = Total volume of one big locker + total volume of one small locker
= 

Answer:
n² p²r³
Step-by-step explanation:
n ⋅ n ⋅ p ⋅ p ⋅ r ⋅ r ⋅ r
Write using exponents
There are 2 n terms
n²⋅ p ⋅ p ⋅ r ⋅ r ⋅ r
There are 2 p terms
n² p²⋅ r ⋅ r ⋅ r
There are 3 r terms
n² p²r³