Answer:
4:1
Step-by-step explanation:
Because AB is the opposite of BA, you flip the fraction, to get 4/1, or 4:1
Answer:
1. √74; 2. (24.5, 21.5)
Step-by-step explanation:
1. Distance
You could use the distance formula to calculate the length of PQ, but I prefer a visual approach, because it requires less memorization.
Draw a horizontal line from P and a vertical line from Q until they intersect at R (28, 19).
Then you have a right triangle PQR, and you can use Pythagoras' theorem to calculate PQ.

2. Midpoint of line
The coordinates of the midpoint are half-way between the x- and y-coordinates of the end points.
For the x-coordinate, the half-way point is
(21 + 28)/2 = 49/2 = 24.5
For the y-coordinate, the half-way point is
(19 +24)/2 = 43/2 = 21.5
The coordinates of the midpoint M are (24.5, 21.5).
Answer:
1/27 cubic cm .also known as the first answer
Step-by-step explanation:
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.