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the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing
step-by-step explanation:
![Very urgent! for the figures below, assume they are made of semicircles, quarter circles and square](/tpl/images/02/00/enbhwN8HGyBCAEfc.jpg)
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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
y≤ -x +4 .![Write a system of inequalities to represent the shaded portion of the graph.](/tpl/images/02/02/DwLmkmmWupWAIakv.jpg)
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345
step-by-step explanation:
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