Answer:
The Correct Answers are
When (1 ,2) is substituted into the first equation, the equation is true.
When (1 ,2) is substituted into the second equation, the equation is true.
When (1 ,2) is substituted into the second equation, the equation is true.
Step-by-step explanation:
Given:
..............Equation ( 1 )
.............Equation ( 2 )
To Show:
order pair ( 1, 2) True for Which Equation
Solution:
The Correct Statements are
When (1 ,2) is substituted into the first equation, the equation is true.
For Equation ( 1 )
Put x = 1 and y =2 in equation 1 we get
∴ Left hand side = Right hand side
Hence True
When (1 ,2) is substituted into the second equation, the equation is true.
For Equation ( 2 )
Put x = 1 and y = 2 in equation 2 we get
∴ Left hand side = Right hand side
Hence True
The ordered pair (1 , 2) is a solution to the system of linear equations.
∴ From above Both are True,
Hence True
Answer:
2nd option
Step-by-step explanation:
Using the identities
tan²θ + 1 = sec²θ
cotθ =
Given
secθ = - , then
tan²θ + 1 = (- )² =
( subtract 1 from both sides )
tan²θ = ( take the square root of both sides )
Since < θ < π and tanθ < 0 , then
tanθ = -
Then
cotθ = = -
To solve correctly, graph both inequalities. The solution is where they overlap. <em>See attachment for graph. </em>Which coordinate is plotted in the overlapping section?
If you don't have the tools to graph them, then plug each coordinate into both inequalities. The coordinate that makes a true statement for BOTH inequalities, is the answer.
(0, 4): 4 > -2 TRUE 0 + 4 < 4 FALSE
(-3, 5): 5 > -2 TRUE -3 + 5 < 4 TRUE THIS IS THE ANSWER!
(1, 4): 4 > -2 TRUE 1 + 4 < 4 FALSE
(-2, -3): -3 > -2 FALSE
Answer: (-3, 5)
