Answer:
-1
Step-by-step explanation:
The radian gives the coordinates: ( (found using the unit circle)
cot=x/y
Plug the x and y coordinates into their respective places in the equation.
You get the answer of -1.
Answer:
a) How much work has he done = dW = 1.3 × 105 J
b) What is the magnitude of the heat that he has lost = dQ = -5.4 × 105 J
Step-by-step explanation:
- From the first law of thermodynamics; dQ = dU + dW
Hence, work done dW = dQ - dU
dW = -6.7 × 105 J - ( -8.0 × 105 J)
dW = 1.3 × 105 J is the work done by the player
- for heat lost; from dQ = dW + dU
- dU = -8.0 × 105 J and dW = 2.6 × 105 J
- heat lost dQ = 2.6 × 105 J + ( -8.0 × 105 J)
- The negative is as a result of heat lost by the player
Answer:
When comes to initial value, x is equals to 0.
So x = 0 is substitute into the function.
In Indices Law, any values to the power of 0 will be 1.
So the initial value of function will be :
Answer:
k = 1/4
Step-by-step explanation:
81y² - k = (9y)² - (1/2)²
(9y)² - k = (9y)² - (1/2)²
k = (1/2)² = 1/4
The slope intercept form is the y = mx + b
We need to solve for the slope first
remember
the slope is the change in y/ over the change in x
y2 - y1 / x2 - x1
3 - 5 / -3 --9
-2/6 this can be simplified to -1/3
That is the slope so we plug it into the equation
y = mx + b
m = slope
y = -1/3x + b
Now to solve for the y-intercept, we plug in one of the coordinates to solve for b
3 = -1/3(-3) + b
3 = 1 + b
3 = b + 1
subtract 1 from both sides
2 = b
That is the point where it intercepts the y-axis
(0,2)
Now we have our equation for the line that passes through the points, (-9,5)(-3,3).
That equation is y = -1/3x + 2
Hope this helps :)