Answer:
So its pretty simple
The table provided the Xs so you can just substitute the x in the eqaution becuase the eqaution gives you Y and your looking for Y.
For the first one
-3/4*-16+3=y
12+3=15
So Y is 15
DO the same for the others
Also I think your rate of change is wrong, I think it’s -3/4 but your choice really, I might be wrong
Using pythagorean identities,tan(sin^-1(-5/13))= tan(arcsin(-5/13))
Let A = arcsin(-5/13) = -arcsin(5/13)
Thus, sin A = -5/13 and cos A = sqrt(1 - (5/13)^2) = 12/13.= tan(A)= sin(A) / cos(A)= -5/13 / (12/13)= -5/12
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The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.
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Solution:
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Given that current population of city is 27900.
Also, population of a city has decreased by 38% since it was last measured.
Let assume that population of city when it was last measured = x
Decreased of 38% means x-38% of x . we can write this as,



So current population is 
Equating above expression to the given value of current population, we get


x=45000
Hence previous population of city was 45000.
The slope of the line
(5,6) slope= m=-1/3