Amelia wants to solve the equation shown on the Equation Mat at right. After she simplified each expression as much as possible, she was confused by the tiles that were left on the mat. What was Amelia's original equation? Remove any zero pairs that you find on each side of the Equation Mat. What happens? What is the solution to this equation? That is, what value of makes this equation true? Explain your reasoning. Equation Mat, with an equal sign in the center, with tiles as follows: Left side, 2 positive, x's, 1 negative, x, 1 positive unit, and 1 negative unit. Right side, 1 positive, x, 1 negative, x, 3 positive units, and 3 negative units. 6-52.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

what

answ5

step-by-step explanation:

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