Supplementary angles are two angles whose sum equal to 180 degrees. Vertical lines are the opposite angles in the intersecting lines. Thus, each of your angles must be 90 degrees. Just simply draw two straight and intersecting lines.
A cyclist rides his bike at a speed of 6 miles per hour. What is this speed in miles per minute how many miles will the cyclist
1 answer:
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Option D: The distance between the two points is 13 units
Explanation:
It is given that the two points are and
We need to determine the distance between the two points.
It is also given that the distance between the two points can be determined using the formula,
Substituting the points and
for the coordinates
and
Thus, we get,
Simplifying, we have,
Adding the terms, we get,
Squaring the terms, we have,
Adding the terms, we get,
Simplifying and rounding off the value to the nearest tenth, we have,
Hence, the distance between the two points is 13 units.
Therefore, Option D is the correct answer.
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: