Answer:
(1, - 7 )
Step-by-step explanation:
using the midpoint formula
given endpoints (x₁, y₁ ) and (x₂, y₂ ) , then
midpoint = ( 
, 
)
here (x₁, y₁ ) = A (3, - 12 ) and (x₂, y₂ ) = B (- 1, - 2 )
midpoint = ( 
, 
) = ( 
, 
) = (1, - 7 )
We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)
Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))
If you simplify this, you get:
0+cos(x)/0-sin(x)
Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)
Multiply the bottom together to get 8 and the top is now 5x
Answer:
the cost per hour of installation work, $35
Step-by-step explanation:
y = 35x + 100
the slope of a function is the coefficient of x, therefore, it is 35. $100 is the initial fee, since it ia the y intercept, and $35 is the cost per hour. y is the total amount, and x is the number of hours. Therefore, the only possible answer is the third choice,
D = t * s
you need another variable either t or d
