Y=-3x+4
slope is -6/2=-3
y-intercept 4
Answer:
<em>71.6 degrees </em>
Step-by-step explanation:
The formula for calculating the angle between two vectors is expressed as;
u.v = |u||v|cos theta
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+(-9)²
|v| = √81+81
|v| = √162
36 = √80*√162 cos theta
36 = √12960 cos theta
36 = 113.84 cos theta
cos theta = 36/113.84
cos theta = 36/113.84
cos theta = 0.3162
theta = arccos (0.3162)
<em>theta = 71.6 degrees </em>
<em>Hence the angle between the given vectors is 71.6 degrees </em>
Since we are calculating the amount that he got correct, we must divide the numerator by the denominator or make the denominator equal 100. I will do it the second way as it is easier in this case.
25*4 = 100
21*4 = 84
84/100 = 0.84
As a decimal, Andrew got 0.84 of his test correct. Hope this helps!
Just use the formula time = distance / speed
395.1/79= 5.001
It will take the train approximately five hours to reach Memphis
