Alannah has two lengths of ribbon. One length of ribbon is 36cm long
and the other length is 45cm long.
Alannah wants to cut lengths of
ribbon into shorter lengths that are
of equal length. Alannah does not
want any ribbon left over. What is
the longest possible length for each
of the shorter lengths of ribbon?

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

2x^2+5x+17

your welcome. : )

you already gave the answer

step-by-step explanation:

1 and 0

step-by-step explanation: