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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Answer:
5
Step-by-step explanation:
-1+5+6-5
-1-5+5+6
-6+11
5
Answer:

Step-by-step explanation:
step 1
Determine the slope of the dashed line
The formula to calculate the slope between two points is equal to

we have
(-3,1) and (0,3)
substitute


step 2
Find the equation of the dashed line in slope intercept form

we have

---> given problem
substitute

step 3
Find the equation of the inequality
we know that
Is a dashed line and everything to the left of the line is shaded
so

see the attached figure to better understand the problem
Apply distributive property.
5k+6=5k+5
Subtract 5k from both sides.
6=5
Final answer: No solution