Answer:
Step-by-step explanation:
We are asked to find the equation of mid-line of the given sinusoidal function.
Since the mid-line of a sinusoidal function is the line that runs between the maximum and minimum y-values of the function. We can consider it the middle y-value.
We can see from our given graph that the maximum value of our function is 5 and minimum value of our function is -5.
Upon substituting these values in mid-line formula we will get,
Therefore, the equation of the mid-line of the given sinusoidal function is .
Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)
<u>1) Plug the gradient into the equation (b)</u>
We're given that the gradient of the line is 4. Plug this into as m:
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (1,10) as (x,y) and solve for b
Subtract 4 from both sides to isolate b
Therefore, the y-intercept of the line is 6. Plug this back into as b:
I hope this helps!
Answer:
Step-by-step explanation:
Answer:
Let AB is the height of the cliff = H and p is the posit ion of the boat.Angle of depression= angle of elevation= 15 degrees therefore angle APB= 15 degrees tan 15=AB=h/1,000 h=(1,000)*tan 15=(1,000)(0.26794919243112)=268.94919243112 meters or
Simply: 268meters..........Ans
Answer:
12
Step-by-step explanation:
3x + y = 6
Multiply both sides by 2
6x + 2y = 12
