If (5^(k-1))+(5^(k+1)) = m, what is 2*5^k in terms of m? If , what is in terms of m?

A) 5m

B) 5m÷2

C) 5m÷13

D) 5m÷26

5m

Step-by-step explanation:

5^(k-1)+5^(k-1)=m

Going to combine like terms on left:

2×5^(k-1)=m

Law of exponents applied:

2×5^k×5^(-1)=m

Reciprocal:

2×5^k×1/5=m

Multiply 5 on both sides to obtain the requested:

2×5^k=5m

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.