Madeline is standing 2x- 4 feet from the base of a tree. The height of the tree is 5x + 6 feet. Find the equation that showsthe straight-line distance from Madeline's feet to the top of the tree in terms of x.Provide your answer below:
Accepted Solution
A:
Answer:c = sqrt( 29x^2 + 44x + 52)Step-by-step explanation:This is an application of the Pythagorean theoremc = sqrt(a^2 + b^2)a = 2x - 4b = 5x + 6c = sqrt( (2x - 4)^2 + (5x + 6)^2 ) Substitute and expandc = sqrt( 4x^2 - 16x + 16 + 25x^2 + 60x + 36) Collect like termsc = sqrt( 4x^2 + 25x^2 - 16x + 60x + 16+36) Combine the like term pairs.c = sqrt( 29x^2 + 44x + 52)This does not factor into anything very nice.