Answer:
A shaded region below a dashed line (y <3x-4)
Step-by-step explanation:
For linear inequalities, we have shaded regions below or above a dashed or solid or continuous line represented by an inequality.
Their graphs are called region graphs. Those regions are only enclosed ones if before the sign of inequality it is included both variables. Like x²+y²<1, |x+y|<1, etc.
In this case what we have here is an open region, as the graph below shows.
3x-y>4 =-y>4-3x∴y<3x-4
Setting a value for x
3x-4=0
3x=4
3x/3=4/3
x=4/3 (slope)
(4/3,0)
Answer:
the first one
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Answer:
168.168 square inches
Step-by-step explanation:
Given data
From the question, we can deduce that the side of the square is 28in
Hence the area of the square is
Area= 28^2
Area= 784 square inches
Also, the diameter of the circle is 28 in
The radius = 14 in
Area of circle= πr^2
Area= 3.142*14^2
Area= 3.142* 196
Area= 615.832 square inches
Therefore the area of the shaded region is
= Area of Square - Area of Circle
= 784-615.832
=168.168 square inches
Answer:
y = 1/2x + 1/2
Step-by-step explanation:
first list a few points to find the slope
(1,1) (3, 2)
y2 - y1/x2 - x1
2 - 1/3 - 1
1/2
y = 1/2x + b
to find the slope use a point you didnt use yet (since its tricky to find the intercept looking at the graph)
(-1, 0)
0 = 1/2(-1) + b
0 = -1/2 + b
b = 1/ 2
lets check:
point: (-3, -1)
y = 1/2x + 1/2
-1 = 1/2(-3) + 1/2 ?
-1 = -3/2 + 1/2 ?
-1 = -1
