If 3 to the power of k+3 minus 3 to the power of k equals m, what is 3 to the power of k+2 in terms of m?

3^(k+2) = 9m/ 26

Step-by-step explanation:

Let 3^k = y :

y×3^3-y = m

26y = m

26×3^k = m

3^(k+2) = m/26×3^2

Therefore 3^(k+2) = 9m/26

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b