Answer:

Step-by-step explanation:
The diagram shows shaded region which boundary is bounded with two lines.
<u>Equation of the 1st line:</u>
This line passes through the points (-6,0) and (0,-6), so its equation is

<u>Equation of the 2nd line:</u>
This line passes through the points (-2,0) and (0,4), so its equation is

The origin belongs to the shaded region, so it must satisfy both inequalities, so
correct inequality is 
correct inequality is 
Note that signsare with notion "or equal to" because lines are solid.
Answer:

Answer:
11.2 miles
Step-by-step explanation:
What has been describe here is a right triangle.
He went 10 miles east, and he turned left and went 5 miles. He started at home ended at work. We want to make a road from his home directly to his workplace (no turns; straight there).
So we have by Pythagorean Theorem:



Square root both sides:


11.2 miles would be the length of that direct path.
Answer:
153.94m²
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(1/2)x+b=y because the equation that given the slope is 1/2 if you leave y alone and take the x’s number
put the point now , 4+b=3 so b is -1
the equation is (1/2)x-1=y