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>
Answer:
1/4
-1/3+1/3 cancels each other
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have been given two points on a line as 
and 
. We are asked to find the equation of the line passing through these points.
We will write our equation in slope-intercept form 
, where m represents slope of line and b represents the y-intercept.
Let us find slope of line using our given points as:
Now, we will substitute and coordinates of point in slope-intercept form of equation as:
Substitute and in slope-intercept form of equation:
Therefore, our required equation would be .
Answer:
Lower average yearly temperature because the cities receive insulation at a lower angle during the year
Step-by-step explanation:
