Answer:
x² + y² = 25
Step-by-step explanation:
(x - h)² + (y - k)² = r²
Centre: origin --> (0,0)
r² = (-5-0)² + (0 - 0)² = 25
x² + y² = 25
You basically need to set up a porporion:
1.6/2.4 = x/7.2
x=4.8
Answer:
Part A: 12.5 cm
Part B: 0.8 km
Step-by-step explanation:
Map scale problems can be solved with proportions.
Part A
5 cm / 2 km = x cm / 5 km
5/2 = x/5
2x = 25
x = 12.5
Answer: 12.5 cm
Part B
5 cm / 2 km = 2 cm / x km
5/2 = 2/x
5x = 4
x = 4/5
x = 0.8
Answer: 0.8 km
Commutative property of multiplication
Answer:
2√3
Step-by-step explanation:
root 27
= √27
= 3√3
12 upon root 3
= 12 / √3
= ( 12 / √3 ) x ( √3 / √3 )
= ( 12 x √3 ) / ( √3 x √3 )
= 12√3 / 3
= 4√3
6 upon √3
= 6 / √3
= ( 6 / √3 ) x ( √3 / √3 )
= ( 6 x √3 ) / ( √3 x √3 )
= 6√3 / 3
= 2√3
root 3 = √3
root 3 + root 27 - 12 upon root 3 + 6 upon root 3
= √3 + 3√3 - 4√3 + 2√3
= 4√3 - 4√3 + 2√3
= 2√3