Answer:
71.6 degrees
Step-by-step explanation:
Given the vectors
u= <8,4> v = <9.-9> (5 points)
u*v = (8, 4)*(9, -9)
u*v = 8(9)+(4)(-9)
u*v = 72 - 36
u*v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+9²
|v| = √81+81
|v| = √162
Using the formula
u*v = ||u||v| cos theta
36 = √80(√162)cos theta
36 = √12960 cos theta
cos theta = 36/√12960
cos theta = 36/113.8
cos theta = 0.3162
theta = arccos(0.3162)
theta = 71.56 degrees
Hence the angle between the given vectors to the nearest tenth of a
degree is 71.6 degrees
Answer: The rate of change in the y coordinate is 75. 78 - 3= 75.
Answer:
-2(57+8) = 14 + 6x
step 1 -2 x 57 and -2 x 8 =
step 2 -114-16 = 14 + 6x
+16 +16
step 3 -114 = 30 + 6x
-30 -30
step 4 -144 = 6x
-144/6 6/6
x = -24
-2(5x + 8) = 14 + 6x
step 1 -2 x 5x and -2 x 8 =
-10x - 16 = 14 + 6x
step 2 -6x -6x
-16x -16 = 14
step 3 +16 +16
-16x = 30
step 4 -16/-16 30/-16
x= -15/8
12 to 16 because all ratios are equivalent
(y^5-1)(y^5+8)............
