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Answer: Choice A. P = 1000M</h3>
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Explanation:
Use the log rule
log(A/B) = log(A) - log(B)
this works for any valid log base
So we can say
- log(P/N) = log(P) - log(N)
- log(M/N) = log(M) - log(N)
meaning that
- log(P/N) = 8 turns into log(P) - log(N) = 8
- log(M/N) = 5 turns into log(M) - log(N) = 5
We have this system of equations
Subtract the equations straight down. You'll find the log(N) terms cancel out and we have the new equation log(P) - log(M) = 3 which transforms into log(P/M) = 3
Lastly, convert the log equation into its exponential equivalent form using the idea that log(b,x) = y turns into y = b^x, where b is the base
Throughout this problem, the base wasn't given. Instead its implied we're talking about base 10.
So,
log(P/M) = 3
P/M = 10^3
P/M = 1000
P = 1000M
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Alternatively,
log(P/N) = 8 turns into P/N = 10^8
log(M/N) = 5 turns into M/N = 10^5
meaning that we can divide the two equations to get P/M = (10^8)/(10^5). That simplifies to P/M = 1000 and rearranges to P = 1000M
Answer:
Step-by-step explanation:
We are given the vertices of triangle ABC. We need to find the length of median AD.
Please see the attachment for figure.
D is mid point of BC because median bisect the opposite side of triangle.
Using the formula of mid point. we get coodrinate of D
D is mid point of B(1,5) and C(-3,-1)
AD is median of triangle ABC. Now we find length of median AD using distance formula of two coordinate.
A(5,1) and D(-1,2)
Thus,
Answer:
B y=54 degrees
Step-by-step explanation:
Since a triangle's angles always add up to 180.
180-72=108
108/2=54
It must be divided by two because y is two angles not one.
Answer:
Step-by-step explanation:
LCM= 20
3×4/5×4=12/20
3×5/4×5=15/20
So to take out 4 rational no. let's multiply 5 both up and down
12×5/20×5=60/100
15×5/20×5=75/100
The answer is h. 30 snowcones