The table shows ordered pairs of the function y = 16 0. 5x. A 2-column table with 6 rows. The first column is labeled x with ent
1 answer:
Option 3 is the correct answer. The missing values of (x, y) is (8, 20).
<h3>How do you find out the values?</h3>Given that the function is,
The function is a linear equation that can be solved graphically. The values of both variables x and y can be found on different points along with the straight-line graph.
Also, for every value of x, there is a corresponding value of y.
For the given options, we put the values of x to find the corresponding value of y.
For option 1, put x = 0 in the given function,
But for x=0, y= 18, hence option 1 is not correct.
For option 2, put x = 5 in the given function,
But for x=5, y= 19.5, hence option 2 is not correct.
For option 3, put x = 8 in the given function,
But for x=8, y= 20, hence option 3 is the correct answer.
Hence we can conclude that option 3 is the correct answer. The missing values of (x, y) is (8, 20).
To know more about the function, follow the link given below.
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Given that 
, then 
The slope of a tangent line in the polar coordinate is given by:
Thus, we have:
Part A:
For horizontal tangent lines, m = 0.
Thus, we have:
Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:
</span><span>θ = 0
</span>θ = <span>2.02875783811043
</span>
θ = <span>4.91318043943488
Part B:
For vertical tangent lines,
Thus, we have:
</span>Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:
</span>θ = <span>4.91718592528713</span>
The slope of a tangent line in the polar coordinate is given by:
Thus, we have:
Part A:
For horizontal tangent lines, m = 0.
Thus, we have:
Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:
</span><span>θ = 0
</span>θ = <span>2.02875783811043
</span>
θ = <span>4.91318043943488
Part B:
For vertical tangent lines,
Thus, we have:
</span>Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:
</span>θ = <span>4.91718592528713</span>
The product of 3p and q-3 would be put in to equation form like this: 3p(q-3)
To find your answer. You have to distribute the 3p to by individually multiplying it by q and -3
It should now look like this:
So your answer is:
To find your answer. You have to distribute the 3p to by individually multiplying it by q and -3
It should now look like this:
So your answer is: