Answer:
x=146 degrees
Step-by-step explanation:
A supplementary angle is the conrisponding angle that adds to the other angle so it is 180. So 180-34= 146
Cos -2x or -cos2x, it's the difference.
Answer:
The perpendicular line is:
y = 1/3 x + 2/3
Step-by-step explanation:
The given equation can be reduced to its slope-intercept form as shown below:
3x + 9y = 8y - 2
subtract 8 y from both sides
3 x + y = -2
subtract 3 x from both sides
y = - 3 x -2
therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3
We use this slope to find the equation of the line passing through the point (13. 5)
y = 1/3 x + b
passing through (13, 5) means:
5 = 1/3 (13) + b
therefore, we can find b from the above equation
b = 5 - 13/3 = 15/3 - 13/3 = 2/3
Then the equation of this perpendicular line is:
y = 1/3 x + 2/3
Answer:
and 
Step-by-step explanation:
Given
5 daises to 2 roses
Required
Determine the relationship between them
The question shows a direct proportion between number of daises and roses.
i.e.
Where d = daises and r = roses
Convert the above expression to an equation
Make k the subject
When d = 5 and r = 2;
So, the first relationship between d and r can be gotten by substituting 2.5 for k in d = kr
So:
----------- (1)
Make r the subject in (1)
------------------------(2)
Hence, the relationships between d and r are:
and
