Answer:
5units
Step-by-step explanation:
Given the two vertices of a rectangle at (3,2) and (8,2). We are to calculate the distance between the two points.
Using the formula
D = √(x2-x1)²+(y2-y1)²
D = √(2-2)²+(8-3)²
D = √0+5²
D = √25
D = 5
Hence the length of the side of the rectangle is 5units
Answer:x=1
Step-by-step explanation:
-60x+32=32x-60
Collect like terms
32x+60x=60+32
92x=92
Divide both sides by 92
92x/92=92/92
x=1
Answer: 1) 5040 and 2) 165
Step-by-step explanation:
1) Here total number of letters = 10
The number of permutations that can be formed using 4 letters at a time
= P (10, 4)
= 
= 
= 
= 
= 10 × 9 × 8 × 7
= 5040
2) Here the total number of machine = 11
The different combinations of machines can Geoff choose from to use
= 
= 
= 
= 
= 11 × 5 × 3
= 165