Verify that the given equation is an identity.sinh(x + y) = sinh x cosh y + cosh x sinh y

What will be an ideal response?


sinh x cosh y + cosh x sinh y =  ?  +  ? 
  + 
  
  
 = sinh(x + y)

Mathematics

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Simplify the algebraic expression by removing parentheses and combining similar terms.3(-x - 5) - 2(5x + 2) - 3(x + 3) 

A. –16x - 28 B. –14x - 28 C. –14x - 24 D. 14x + 28 E. –16x - 24

Mathematics

Write the expression as a single logarithm.2log4 (4x - 3) + 5log4(6x + 8)

A. log4 (4x - 3)2(6x + 8)5
B. 10log4 (4x - 3)(6x + 8)
C. log4 [(4x - 3)2 + (6x + 8)5]
D. log4 

Mathematics

The measure of ?X is 12° more than three times ?Y . If ?X and ?Y are supplementary; find the measure of ?X and classify it as acute, right, obtuse or straight.

What will be an ideal response?

Mathematics

Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse.f(x) = 

A. f(x): D = , R = ;
f-1(x): D = , R = 
B. f(x): D = , R = ;
f-1(x): D is all real numbers, R = 
C. f(x): D = , R = ;
f-1(x): D = , R = 
D. f(x): D = , R is all real numbers;
f-1(x): D is all real numbers, R = 

Mathematics