Answer:
A
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [a, b ] is
Here [ a, b ] = [ 2, 6 ], thus
f(b) = f(6) = - + 70 = - 64 + 70 = 6
f(a) = f(2) = - 2² + 70 = - 4 + 70 = 66
average rate of change = =
= - 15 → A
The lengths that make the sense for the value of b are 0.5 inches and 2 inches.
<h2>Given </h2>An isosceles triangle has two sides of equal length, a, and a base, b.
The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
<h3>What is the triangle inequality theorem?</h3>If two sides of a triangle are unequal, the longer side has a greater angle opposite to it.
The equation of the perimeter of the triangle;
1. Substitute b = 0.5 in the equation;
Then,
Verify the triangle inequality theorem;
0.5 + 7.6 > 7.6 is true
7.6 + 7.6 > 0.5 is true
2. Substitute b = 2 in the equation;
Then,
Verify the triangle inequality theorem;
0.5 + 76.85 > 6.85 is true
6.85 + 6.85 > 2 is true
Hence, the lengths that make the sense for the value of b are 0.5 inches and 2 inches.
To know more about the Triangle inequality theorem click the link given below.
The line passing through (3, 1, -8) and running parallel to the vector <5, 3, 3> has the vector equation
or
and from this we can extract a set of parametric equations for the line:
where .