Hey there!
2(p + 1) + 8(p - 1) = 5p
2(p) + 2(1) + 8(p) + 8(-1) = 5p
2p + 2 + 8p - 8 = 5p
10p - 6 = 5p
SUBTRACT 5p to BOTH SIDES
10p - 6 - 5p = 5p - 5p
SIMPLIFY IT!
5p - 6 = 0
ADD 6 to BOTH SIDES
5p - 6 + 6 = 0 + 6
CANCEL out: -6 + 6 because it gives you 0
KEEP: 0 + 6 because it helps solve for the p-value
5p = 0 + 6
5p = 6
DIVIDE 5 to BOTH SIDES
5p/5 = 6/5
CANCEL out: 5/5 because it gives you 1
KEEP: 6/5 because gives you the result of the p-value
SIMPLIFY IT!
p = 6/5
Therefore, your answer is: p = 6/5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:

Step-by-step explanation:
The change of form formula (exponential to logarithm) is:

Looking at the problem given, we can simply write the logarithmic form as:

This is the answer.
You would have to take 6336 steps because 63360 inches is one mile and that divided by 10 is 6336
Answer:
389 feets apart
Step-by-step explanation:
Given that:
Building A
Height = 400feets
Angle of elevation = 70°
Building B:
Height = 300 feets
Angle of elevation = 52°
Distance from the foot of building A to where Jonny is standing = x (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 70 = 400/ x
2.7474774x = 400
x = 145.58809 feets
Distance from the foot of building B to where Jonny is standing = y (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 52 = 300/ y
1.2799416y = 300
y = 145.59
y = 234.38568 feets
x + y = distance between the two buildings
(145.58809 + 234.38568) feets
= 379.97377
= 380 feets apart