Step-by-step explanation:
I think the typing of the answer options must have some typos.
the magnitude of a vector is the length of the vector.
the length of the vector is Pythagoras over its coordinates.
this vector goes from (3, -6) to (-4, 1), so the relative vector coordinates are -4 - 3 and 1 - -6 = -7, 7.
so the magnitude of length of the vector is
sqrt((-7)² + 7²) = sqrt(49+49) = sqrt(98)
= 9.899494937...
the direction angle is the angle of the vector with the x-axis.
it is the inverse tan of y/x. and in this case in the second (upper left) quadrant, since the vector is pointing up and left.
the inverse tan of 7/-7 = inverse tab of 1/-1 =
inverse tan of -1 in the second quadrant is 135°.
115 R:11
Explanation:
Subtract 20 from a 23 and bring a 1 on the top. 23-20=3. Then bring a 1 down from the 2,311.
2 numbers left.
Add another 1 to the top because your subtracting 31 with 20. 31-20=11.
Then bring the 1 down again and then bring up a 5. 20x5=100.
111-100=11 and so 11 would be our remainder. What on the top would be our answer.
Final Result: 115 R:11
20| 23,11
- 20
____
31
- 20
_______
111
- 100
________
R: 11
F(x)= (1/4)^x -2 the negative two is not with the x
Answer:
angle 3 and angle 6 hope this helps
Step-by-step explanation:
