Answer:
(x, y) = (4, -3)
Step-by-step explanation:
Relative to straight east with angles measured CCW, the vector is ...
5∠-36.9° = 5(cos(-36.9°), sin(-36.9°)) = 5(0.8, -0.6) = (4, -3)
Answer:
m = 
Step-by-step explanation:
Two point slope formula = 
Answer:
x=11
BC=19
Step-by-step explanation:
AB+AC=AC this is because B is in between A and C. So now we can substitute all of the line segments, so we have
x+2x-3=30 Now you add 2x and x
3x-3=30 Now you add 3 to both sides so you can get 3x alone on one side
3x=33 Now you divide both sides by 3 so you get the x alone on one side
x=11
The next step is to substitute x to find BC.
BC=2x-3 Substitute the x with 11
BC=2(11)-3 Then multiply 2 and 11 because that is the rule with parenthesis
BC=22-3 then subrtact the 3 from 22
BC=19
You can check your work by doing AB+BC=AC
11+19=30 substitute your answers and then add them together
30=30
Answer:24 feet
Step-by-step explanation:
Answer:
5 hours
Step-by-step explanation:
Let s and w represent hours spent traveling south and west, respectively. The problem statement tells us ...
s + w = 8 . . . . . . total trip time
344s + 351w = 2773 . . . . total mileage (using d = s·t)
By Cramer's rule, we can find the value of s as ...
s = (1(2773) -351(8))/(1(344) -351(1)) = -35/-7 = 5
The plane was heading south for 5 hours.
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<em>Comment on Cramer's rule</em>
For the equations ...
ax +by = c
dx +ey = f
The solution for x can be found to be ...
x = (bf-ec)/(bd-ea)
Similarly, the solution for y is ...
y = (cd-fa)/(bd-ea)
