How do I solve for X using Pythagorean theroem

24 cm

Step-by-step explanation:

Pythagorean theorem:

A^2+b^2=c^2

C^2=the hypotenuse (26 cm)

You just plug in what you have

10^2+b^2=26^2

100+b^2=676

Subtract 100 from both sides

B^2=576

Square root both sides

B=24

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.