Answer:
The answer to your question is a = 40, b = 5/8
Step-by-step explanation:
Data
ab = 25
log₄a - log₄b = 3
Process
1.- Use the law log of a quotient
log₄ a/b = 3
2.- Convert the log to an exponent
a/b = 4³
a/b = 64 Equation l
ab = 25 Equation ll
3.- Solve equation l for a
a = 64b
4.- Substitute in equation ll
(64b)b = 25
-Simplify
64b² = 25
-Solve for b
b² = 25/64
b = 5/8
5.- Substitute the value of b to find a
a = 64(5/8)
-Simplification
a = 40
Answer:
The distance of the park from the Gary's house is 125 miles.
Step-by-step explanation:
Speed of Gary = 50 miles/hour
Time taken by Gary to reach the park from his house = 2.5 hours
Now, we know that,
Distance travelled = speed × time
So, distance between park and Gary's house = speed × time
= 50 × 2.5
= 125 miles
So, the park is 125 miles away from the Gary's house.
It is the best option, 6 Teaspoons.
Answer:
b=-2aH
Step-by-step explanation:
H=-b/2a
Apply cross multiplication
H×2a=-b
2aH=-b
In the question you are to find positive b not negative b so you have to take negative b to the left hand side of the equation to become positive b and take 2aH to the right hand side to become -2aH
therefore b=-2aH
