<em>The origin (0, 0) is a solution to this system.</em>
<h2>
Explanation:</h2>
Remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any system of inequalities, so I'll give you this system:
For the first inequality, the shaded region is above the line 
and every point on the line is included in its solution since equality is included in ≥, so the line is dashed. On the other hand, for the second inequality the shaded region is below the line 
and every point on this line is not included in the solution since equality is not included in <, so the line is dotted.
Finally, the solution to this system of inequalities is the intersection of both regions as indicated in the graph below.
As you can see, the origin (0, 0) is a solution to this system.
<h2>Learn more:</h2>
Inequalities: brainly.com/question/13177145
#LearnWithBrainly
The distance around the cooking area would be 20 yds
Answer:
d would be the answer
Step-by-step explanation:
i took the test
First integer = x
Second integer = x + 2
Third integer = x + 4
Since four times the first integer equals six more than the product of two and the third integer.
4x = 6 + 2(x + 4)
4x = 6 + 2x + 8
2x = 14
x = 7.
Hence,
First integer = x = 7
Second integer = x + 2 = 7 + 2 = 9
Third integer = x + 4 = 7 + 4 = 11.
hope this helps
<em>Options:</em>
<em>Rotation of 180° about point B
</em>
<em>Rotation of 90° about point b
</em>
<em>Reflection over the x-axis
</em>
<em>Translation down 2 units</em>
<em></em>
Answer:
Rotation of 180° about point B
<em></em>
Step-by-step explanation:
Considering coordinates of point B
Assume the coordinates of the line at point B is (x,y)
i.e. 
First, we need to determine the slope at point B
Taking coordinates about the origin.
The slope of B is:
Where
--- origin
becomes
Taking the options one after the other:
Option A.
When rotated by 180°, the resulting coordinates of B would be
Taking the slope of B'
The slope of B is:
Where
--- origin
becomes
Notice that the slope of B and B' is the same;
<em>Hence:</em>
<em>Rotation of 180° about point B answers the question</em>
<em></em>
<em>There's no need to check for other options</em>
