Find the slope of the line through each pair of points. (2,5) and (6, 8)
1 answer:
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Answer:
The area of the hexagonal table will be 27 square feet
Step-by-step explanation:
Given:
The height of the triangle = 3 feet
The base of the triangle = 3 feet
To Find:
The area of the hexagonal table = "
Solution:
<u>Step 1: Finding the area of the triangle</u>
The area of the triangle =
On substituting the values
The area of the triangle is =
The area of the triangle = square feet
<u>Step 2 : Finding the area of the hexagonal table </u>
The area of the hexagonal table is = 6 X area of one triangle
The area of the hexagonal table =
The area of the hexagonal table =
The area of the hexagonal table = 27 square feet
The slope of the function is given by its derivative. You want to find the values of x such that the derivative is between -1 and 1.
... f'(x) = 0.4x +5
... -1 < 0.4x +5 < 1 . . . . . your requirement for slope
... -6 < 0.4x < -4 . . . . . . subtract 5
... -15 < x < -10 . . . . . . . multiply by 2.5
Any value of x that is between -15 and -10 will be one where the tangent line has a slope between -1 and 1.
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The graph shows tangent lines with slopes of -1 and +1. You can see that the slope of the graph of f(x) is between those values when x is between the tangent points.
