Think of the given points as endpoints of vectors.
The point (3, 1) is the terminus of the vector 3 i + j.
The point (-4, 2) is the terminus of -4 i + 2 j.
By the "triangle rule" for vector summation, the vector starting at (3, 1) and ending at (-4, 2) is the difference between these two vectors.
(-4 i + 2j) - (3i + j) = -7 i + j
Answer:
It would take you 9 hours
Step-by-step explanation:
Speed (s) = Distance (d) / Time (t)
given that; Speed = 42 miles/hour
Distance = 361 miles
42 miles/hour = 361 miles / Time (t)
Time (t) * 42 miles/hour = 361 miles
Time (t) = 361 miles / 42 miles/hour
Time (t) = 8.59 hours
≈ 9 hours (to the nearest hour)
The final price is $ 40
<em><u>Solution:</u></em>
A store in Minnesota advertises that on a holiday, everything is 20% off
Discount = 20 %
A person buys shoes for $40 and socks for $10
<em><u>Therefore, Total price before discount is given as:</u></em>
Total price = 40 + 10 = 50
Therefore,
Total price before discount = $ 50
Discount = 20 %
Therefore, discount price is 20 % of 50

Thus the discount price is $ 10
<em><u>Final price is given as:</u></em>
Final price = Total price before discount - discount price
Final price = 50 - 10 = 40
Thus the final price is $ 40
Answer:
(a) 750
(b) 1875
(c) 4875 or as a fracion 7/20
Step-by-step explanation:
Any value which is more than 2 standard deviations away from the mean is considered to be "unusual."
2 standard deviations above the mean 52.4 mp would be 52.4+2(1.8), or 56; 2 std devs below the mean would be 52.4 - 2(1.8), or 48.8. Thus, any value larger than 56 or any value smaller than 48.8 would be "unusual."
54.8, 49.1 and 51.3 are not unusual; 56.5 is unusual, because it's greaster than 56.