Question

need help with a 9th grade math assignment!!

Answer 1

1. The graph: A coordinate plane with a colored in, closed figure. Each segment must be labeled.

2. The inequalities: Show the work for finding the inequality that defines each segment.

3. A point: Choose a point within the boundaries of the shape, and show algebraically that the point satisfies all of the inequalities.

Answer 2

i already have my coordinates for the closed figure, which are (5,5) (11,5) (8,3) (8,7)

Answer 3

And which part do you need help with?

Answer 4

finding the inequalities

Answer 5

@rvc

Answer 6

do you have diagram for that ?

Answer 7

no

Answer 8

@Michele_Laino could you please help us.

Answer 9

oops wait i think i understand it now, thanks anyways guys!~

Answer 10

cool :)

Answer 11

for example, I consider the segment between points (5,5) and (11,5), so , that segment can be represented as a subset of the cartesian plane, as below:

\[\Large \left\{ {\left( {x,y} \right)\left. {} \right|\;5 \leqslant x \leqslant 11,\quad y = 5} \right\}\]

Answer 12

other wise, we can apply this, more general formula:
the segment between points P_1and P_2, can be written as below:
\[\Large {P_1} + t\left( {{P_1} - {P_2}} \right)\]
where t is a parameter, such that:
\[\Large 0 \leqslant t \leqslant 1\]
and the difference between 2 points, say P_!=(x_1,y_1) and P_2=(x_2,y_2), is defined as below:
\[\Large {P_1} - {P_2} = \left( {{x_1} - {x_2},{y_1} - {y_2}} \right)\]

Answer 13

oops,..P_1, not P_!