Answer:
b2+11b-42 = (b+14)(b-3) when factored
Step-by-step explanation:
The midpoint, M, of points A and N is (8,10) because;
Point A is (-6,-6) which has a slope of 8/7 (rise/run) with M, (1,2). So, if 8/7 is repeated/ added to M, it will be point N.
1+7=8 (run/x)
2+8=10 (rise/y)
Put x and y together to get (8,10).
N= (8,10).
A.
the area of a polygon is/
A= perimeter X apothem /2
A=500
apothem = 10
500 = (P * 10)/2
P =100
B. 100*7.95 = $795
C.
60*100= 6,000
6,000 * $7.95=
<span>$47,520</span>
Answer:
<u><em>All real numbers</em></u>
Step-by-step explanation:
<u><em>We can start out by knowing that</em></u><u><em> the domain of a graph is, the side, to side from the x axis directions. </em></u>
<u><em>We can see that the </em></u><u><em>line continues of the graph shown, meaning it is infinite. </em></u><u><em>Meaning the answer is </em></u><u><em>the domain is all real numbers.</em></u>
<u><em>We can double check by seeing that the other options don't work or aren't enough:</em></u>
<u><em /></u>
<u><em>The first wouldn't work becuase, yes that is part of the answer, but not the whole answer. The same goes for the others as well, they are on the line and are correct, but the best, and full answer is </em></u><u><em>"All real numbers"</em></u>
Answer:
232°
Step-by-step explanation:
There are a couple of ways to find the desired direction. Perhaps the most straightforward is to add up the coordinates of the travel vectors.
30∠270° +50∠210° = 30(cos(270°), sin(270°)) +50(cos(210°), sin(210°))
= (0, -30) +(-43.301, -25) = (-43.301, -55)
Then the angle from port is ...
arctan(-55/-43.301) ≈ 231.79° . . . . . . . 3rd quadrant angle
The bearing of the ship from port is about 232°.
_____
<em>Comment on the problem statement</em>
The term "knot" is conventionally used to indicate a measure of speed (nautical mile per hour), not distance. It is derived from the use of a knotted rope to estimate speed. Knots on the rope were typically 47 ft 3 inches apart. As a measure of distance 30 knots is about 1417.5 feet.