Given:

x lies in the III quadrant.
To find:
The values of
.
Solution:
It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.
We know that,




x lies in the III quadrant. So,


Now,



And,





We know that,



Therefore, the required values are
.
Answer:
If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations. If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Step-by-step explanation:
<u>Given</u>:
Given that the parallelogram with the lengths 5x, 3x + 1, 2y - 5 and y.
We need to determine the values of x and y.
<u>Values of x and y:</u>
We know the property that the opposite sides of a parallelogram are congruent.
Thus, we have;
------- (1)
------- (2)
The value of x and y can be determined using the substitution method.
Substituting equation (2) in equation (1), we have;





Thus, the value of x is 3.
Substituting x = 3 in equation (2), we have;



Thus, the value of y is 10.
Answer:
123 full pages
Step-by-step explanation:
Given


Required
Determine the number of full page
To do this, we simply divide the total stamps by stamps in each page;



Then we record only the quotient
The quotient is the digits before the decimal

<em>Hence, she has 123 full pages</em>
The equation you can use is x + 3x = 428 with x as the number of cheeseburgers and 3x the number of hamburgers
you solve for x and get 4x= 428 and x=107
so 321 hamburgers were sold that day.