<span>1. slope = (n-k)/(m-j)
2. slope = (n-k))/(m-j)
3. P" = (m,n+e-3)
1. The slope of a line is the ratio between the change in y in regard to the change in x. Since we have two known points on the line r, we can simply subtract their respective x and y coordinates and divide. So
slope = (n-k)/(m-j)
One thing to pay attention to is to do the subtraction IN THE SAME ORDER. The actual order doesn't matter as long as it's the same for both top and bottom. For instance, this is another equation for the slope that's just as valid.
slope = (k-n)/(j-m)
2. This is the exact same way. Just subtract the different y coordinates and divide by the difference between the x coordinates.
slope=((n+e)-(k+e))/(m-j)
Now because of the associative property, we can do some rearrangement of the expression to get
slope=(n+e-k-e))/(m-j)
and the "e" terms cancel each other, giving
slope=(n-k))/(m-j)
And you'll see that the slope is the same as for problem #1 above.
3. For this, let's look at the coordinates of point P'
P' = (m,n+e)
Since we want to move it 3 units down, just subtract 3 from the y coordinate, so
P" = (m,n+e-3)</span>
Answer: 
Step-by-step explanation:
Given: An urn contains 3 red and 5 orange marbles.
Total marbles = 3+5=8
Probability of getting orange marble = 
Now marbles left = 7
Orange marbles left = 4
and Probability of getting orange marble = 
The probability that the second marble selected is orange given that the first marble selected is orange
Required probability=
Answer:
4
Step-by-step explanation:
Given that:
Total pounds of apple = 7/2 pounds
Pounds of apple needed per batch of applesauce = 3/4 pounds
Number of batches of applesauce which can be made :
Total pounds of apple / pounds of apple needed per batch
7/2 ÷ 3/4
7/2 * 4/3
= 28/6
= 4 4/6
= 4 2/3
Hence, number of batches of applesauce which can be made is 4
The answer is -1.
You do -2- -4 and get 2.
Then do -2-0 and get -2.
The last step is to do 2 divide -2 and you get -1.
Answer:
Step-by-step explanation:
