Answer:
20
Step-by-step explanation:
we see here that angle RPN is 180 degrees. SPM is 90 degrees so
angle RPS + angle SPM + angle MPN = 180 degrees
(4y - 10) + 90 + y = 180
(4y - 10) + y = 90
5y - 10 = 90
5y = 100
y = 20
Answer:
The ordered pair is the point 
Step-by-step explanation:
we have
For 
Substitute the value of x in the function
so
therefore
The ordered pair is the point
Answer:
4 and -1
Step-by-step explanation:
Solving for two variables can be done by setting up a system of equations. In this case you have two numbers 'x' and 'y' when multiplied is -4:
x*y = -4
When the same two number are added together it's 3:
x + y = 3
Using the second equation to solve for 'x', you can then use that expression to substitute for 'x' in the first equation:
x = 3 - y
y(3 - y) = -4 or 3y - y² = -4 or y² - 3y = -4
Factor: (y - 4)(y + 1)
Solve for y: y = 4 or -1
If y = 4, then x = -1 or when y = -1, x = 4, so the two numbers are 4 and -1:
(4)(-1) = 4 and 4 + -1 = 3
First minus -6 on both sides, then we would have -2 = -2x
Then divide both sides by -2 and then x=1 because negative divided by a negative is a positive.
Answer:
Step-by-step explanation:
Please see the attached picture for the full solution.
• Differentiate cosine
• Then multiply it with the derivative of the term inside the bracket
