The midpoint of a line segment is the average of the endpoint's coordinates, mathematically:
mp=((x1+x2)/2, (y1+y2)/2)
In this case:
(-4,6)=((8+x)/2, (-2+y)/2)
(-8,12)=((8+x),(y-2))
(-16, 14)=(x,y)
Answer:
y ≤ ¼x + 1
Step-by-step explanation:
Starting from the y-intercept of course, use rise\run until you hit another endpoint [finding the <em>rate</em><em> </em><em>of change</em> (<em>slope</em>)]. That means me we go up <em>north</em><em> </em>one block, then go over four blocks <em>east</em><em>,</em><em> </em>and since the slope is already simplified, we do not need to go any further. Now all we have left is to determine the correct inequality symbol, and since we know that the bottom portion of the graph is shared, we automatically know it is <em>less</em><em> </em><em>than</em><em>,</em><em> </em>but to check this, we need to do what is called a <em>zero-interval</em><em> </em><em>test</em><em> </em>[do not recall the actual term], meaning that we plug in 0 for both <em>y</em><em> </em>and <em>x</em><em>,</em><em> </em>getting 0 < 1, which is a GENUINE statement, so the bottom portion stays shaded, otherwise we would have had to shade the top portion if it were a false statement. Finally, we have to determine if we have to add an equivalence line under the inequality symbol, and we DO because as you can see, the line is SOLID BLACK. If it were DASHED BLACK, then it would stay "<" instead of "≤".
I am joyous to assist you anytime.
A. 5
5*6=30, so 5/30= 1/6th
Answer:
Independent events are those that do not depend on others. Two entities does not depend on each other. The change in one entity does not change the other.
So, independent events here are-
1. rolling a number cube twice.
2. flipping a coin 4 times.
3. choosing a meal combination.
Rest two options are dependent on each other.
