Answer:
y = (x-3)^2 - 17
Step-by-step explanation:
To complete the square, take the middle term bx and divide it in two. Then take the square.
x^2 - 6x - 8 has bx = -6x. Take -6/2 = -3. Square -3^2 = 9.
Now to finish completing the square add 9 and subtract 9 from one side.
y = x^2 - 6x - 8
y = (x^2 - 6x +9) -9 - 8
y = (x-3)^2 - 17
Answer:
No, middle term should be 40x.
Step-by-step explanation:

Hence, for the given trinomial to be a perfect square its middle term should be 40x and not 36x.
Answer:
B
Step-by-step explanation:
We are given that <em>x</em> and <em>y</em> are functions of time <em>t</em> such that <em>x</em> and <em>y</em> is a constant. So, we can write the following equation:

The rate of change of <em>x</em> and the rate of change of <em>y</em> with respect to time <em>t</em> is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to <em>t: </em>
<em />
<em />
Remember that the derivative of a constant is always 0. Therefore:

And by subtracting dy/dt from both sides, we acquire:

Hence, our answer is B.
Answer:
Area of the rectangle A = 32 x - 8
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the length of the rectangle(l) = 8x-2
Given that the width of the rectangle (w) = 4
Area of the rectangle = length × width
A = (8x - 2) × 4
A = 32 x - 8
<u><em>Final answer</em></u>:-
Area of the rectangle A = 32 x - 8