Sorry for bad quality. First to answer gets brainliest
2 answers:
Answer:
C) 335.5 in²
Step-by-step explanation:
Firstly,
We'll find out the area of rectangled portion of pencil.
So,
Area of rectangle = Length × Breadth
Area of rectangled portion,
= b × a
= 25 × 11
= 275 in²
Lastly,
We'll find out the area of triangled portion of pencil,
So,
Area of triangle =
Total area of pencil = Area of rectangled portion + Area of triangled portion
= 275 in² + 60.5 in²
= 335.5 in²
Answer will be C.
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Explanation
We must the tangent line at x = 3 of the function:
The tangent line is given by:
Where:
• m is the slope of the tangent line of f(x) at x = h,
,• k = f(h) is the value of the function at x = h.
In this case, we have h = 3.
1) First, we compute the derivative of f(x):
2) By evaluating the result of f'(x) at x = h = 3, we get:
3) The value of k is:
4) Replacing the values of m, h and k in the general equation of the tangent line, we get:
Plotting the function f(x) and the tangent line we verify that our result is correct:
AnswerThe equation of the tangent line to f(x) and x = 3 is:
Answer:
x = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 12² = 13², so
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x = = 5