Answer:
x=6
Step-by-step explanation:
x+3=9
x+3-3=9-3
x=6
4 trays are needed because your number is 3.75 and you need another tray for the rest
Answer:
E: L is perpendicular to a line with slope
.
Lines are perpendicular if the negative reciprocal of the slope is equal. For example, the reciprocal of
is
(remember, to get the reciprocal, simply switch the numerator and the denominator).
So, the negative reciprocal of
is
. This represents the slope of a line that is perpendicular.
Answer:
>
Step-by-step explanation:
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)