5. Seismologists use the Richter scale to measure the magnitudes and intensity of earthquakes that occur all over the earth. (see below, some info about Richter scales,
and intensity formula)
Let's say an earthquake hit Los Angeles, CA and had a magnitude of 3.4. If another
earthquake hit Atlanta, GA and was a magnitude of 1.2, then how much more intense
was the earthquake in LA?

A. 79.24 times

B. 158.49 times

C. 2.2 times

D. 39,810.72 times

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.