<span>(a) the slope of curve is calculated from the derivative of the curve expression y=5/x. In this problem, the slope m=-5/(a^2).
(b) x=1, y=5，and m=-5, the tangent line is y-5=-5*(x-1).
x=4, y=5/4, and m=-5/16, the tangent line is y-5/4=-5/16*(x-4)</span>
If the two rectangles are similar than The answer is C. X=9.6
Let us use the Pythagorean theorem in identifying what triangle can be formed.
Let us assume that the 2 wooden dowels each measure 8 inches. We cut off one wooden dowel into half, so it becomes 2 pcs of 4 inches each.
The 3 wooden dowels now measure, 4 inches, 4 inches, and 8 inches.
The Pythagorean theorem states:
a² + b² = c²
4² + 4² = 8²
16 + 16 = 64
34 ≠ 64
The measure of the cut wooden dowel must be longer than the uncut wooden dowel to create a triangle.
I also tried this on a piece of paper, I cut each piece according to the assumed measure. No triangle can be formed under this activity.
Answer:
The complete question is:
Which expression below gives the average rate of change of the function g(x)= -x^2 - 4x on the interval 6 < x < 8
When we have a function f(x), the average rate of change of this function in the interval a < x < b is given by:
Then if we have the function g(x) = -x^2 - 4x
and we want to find the average rate of change in the interval 6 < x < 8 we need to compute:
