Answer:
the center of the circle would/should be (0,0)
The answer is A :) The line is moving clockwise. Imagine it’s going from 3pm, to 6pm, to 9pm....the next is 12am!
<h3>
Answer: A) Dashed line, shaded below</h3>
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Explanation:
2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).
The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16
To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".
We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.
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Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.
Plug those coordinates into either equation. I'll pick the second equation
y < -0.5x+4
0 < -0.5*0+4
0 < 0+4
0 < 4
The last inequality is true, so the first inequality is also true when (x,y) = (0,0). Therefore, the point (0,0) is in the shaded region. The point (0,0) is below the boundary line y = -0.5x+4
So this is another way to see that the shaded region is below the boundary line.
The slope-intercept form is
y=mx+b
, where m is the slope and b is the y-intercept.
y=mx+b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
\m
=
2
b
=
−
3
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
2
y-intercept:
(
0
,
−
3
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for fewer steps...
Find the x-intercept.
Tap for more steps...
x-intercept(s):
(
3
2
,
0
)
Find the y-intercept.
Tap for more steps...
y-intercept(s):
(
0
,
−
3
)
Create a table of the
x
and
y
values.
x
y
0
−
3
3
2
0
m
=
2
b
=
−
3
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
2
y-intercept:
(
0
,
−
3
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for fewer steps...
Find the x-intercept.
Tap for more steps...
x-intercept(s):
(
3
2
,
0
)
Find the y-intercept.
Tap for more steps...
y-intercept(s):
(
0
,
−
3
)
Create a table of the
x
and
y
values.
x
y
0
−
3
3
2
0
I'm so sorry it layed out like this my computer is being st00pid
Answer:
3/12
Step-by-step explanation:
