Two vertical posts stand side by side. One post is 8 feet tall and the other is 17 feet tall. Is a 24 foot wire is stretched between the hope of the posts' how far apart are the posts?

Step-by-step explanation:

The distance between the two poles is 22.248 feet

•This question can be solved by using Pythagoras theorem that is

Slant height ^2 = height^2 + base^ 2

•Here,

height = difference between the heights of two poles

= 17-8

= 9 feet

Slant height = length of wire stretched between the two poles

= 24 feet

•Distance between poles = √(24*24 – 9*9)

= 22.248 feet

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0