Use Pythagorean theorem:
9i-j = sqrt (9^2 - 1^2) = sqrt(81-1) = sqrt80
now divide both terms in V by that:
u = 9/sqrt(80)i - 1/sqrt(80)j
see attached picture:
Answer:
(-3,3)
Step-by-step explanation:
Using elimination:
Multiply the first equation by 8 and the second by 5 which equals
40x+56y=48
-40-60y=-60
Now you add them together
40x+(-40x)=0 so that crosses out
56y+(-60y)= -4y
48+(-60)=-12
You now have -4y=-12
Divide by -4
y=3
Now plug in y to any of the equations
5x+7(3)=6
5x+21=6
Subtract 21 from both sides
5x=-15
Divide by 5
x=-3
Your final solution is (-3,3)
Answer:
The first answer is correct.
Step-by-step explanation:
Line 5 says that the reason is due to substitution
Line 3 says m∠ SQT equals 180°
If we substitute 180° into the spot for m∠ SQT in line 4, we get solution option 1
So circumference is the distance around the wheel
that is the part that is actually touching the ground
so therefor the wheele travels 3 inches per rotations
5 rotations per minute
we have to find the distance
3 times (number of roations) times 1 minute=3 times 5 times 1=15
answer is 15 in per miute
I=15
The perpendicular slope is 5/4x
