What is this supposed to be? Is there any actual question?
Answer:
5.8
Step-by-step explanation:
the distance formula is
d =sqrt( (x2-x1)^2 + (y2-y1)^2 )
= sqrt ( (-5 - -2) ^2 + (-1 - -6)^2 )
= sqrt( (-5 +2) ^2 + (-1 +6)^2 )
= sqrt( (-3) ^2 + (5)^2 )
= sqrt( 9+25)
= sqrt(34)
=5.830951895
Rounding to the nearest tenth
5.8
Answer: 36.9
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
_____
You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
_____
"Equating exponents" is essentially the same as taking logarithms.
