5x + 3(x + 4) = 7x +12 + x +
2 answers:
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Answer:
(a) f'(1)=-4
(b) y+4x-4=0
Step-by-step explanation:
<u>Tangent Line of a Function</u>
Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.
We are given
The derivative is
(a) The slope of the tangent line at (1,0) is
(b) The equation of the tangent line can be found with the general formula of the line:
Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus
Or, equivalently
Based on the graph, the total perimeter of the doghouse Jeremy plans to build s 28 feet (twenty-eight feet).
<h3>What is the perimeter?</h3>This is the total distance of all the sides in a shape. Due to this, the general formula is:
- Perimeter = side + side + side.
- Horizontal side: 8 feet
- Vertical sides: 10 feet
- Diagonal sides: 10 feet
8+10+10= 28 feet.
Note: This question is incomplete because the graph is missing; here is the graph:
Learn more about perimeter in: brainly.com/question/6465134
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