Niki is decorating a rectangular dining table for a party. the length of the table is 8 feet and the width is 6 feet. niki put a ribbion diagonally across the tble. what is the length of the ribbion in feet

10 feet

Step-by-step explanation:

this is a Pythagorean Theorem Problem

A rectangle has 4 right angles. The diagonal cuts the table in 1/2 into 2 triangles.

Formula

c^2 = a^2 + b^2

Givens

a = 6

b = 8

Solution

c^2 = 6^2 + 8^2        Substitute into the formula. Expand the givens

c^2 = 36 + 64            Add on the right

c^2 = 100                   Take the square root on both sides

sqrt(c^2) = sqrt(100)

c = 10

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: