What is the length of the hypotenuse x if (12,32,x) is a pythagorean triple ?

approximatly 34.18

Step-by-step explanation:

so we know that a^2 + b^2 = c^2

so knowing we are finding the hypotenuse ( longest side of the triangle ), we are solving for c!

so now lets fill in the equation:

12^2 + 32^2 = c^2

so now lets break it down

12^2=144 & 32^2= 1,024

fill in the equation: 144 + 1,024 = 1,168

now just find the square root of 1,168!

which is approximatly: 34.18!!

i really hope this helped <3

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