To determine the scale factor of the dilation, we determine the distances between the endpoints of the two lines through the equation,
d = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting the known values.

Line Segment 1: d = √(1 - 2)² + (4 - 8)² = 4.123

Line Segment 2: d = √(18 - 14)² + (12 - 1)² = 11.70

Dividing the answers will give us 0.352

7 0

2 years ago

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Which of the following functions gives the radius, r(v), of a conical artifact that is 20 inches tall as a function of its volum

nalin [4]

By calculus or elementary geometry, we know that the formula for the volume of a cone, given pi (the constant), its height h and its radius r is:
$V=pi*h*r^2/3$
Lets solve this relation for the radius:
$3V=pi*h*r^2
$
$\frac{3V}{pi*h} =r^2$
$\sqrt{\frac{3V}{pi*h}} = r$
Now we have found a general formula that gives us the radius of a cone, given its volume and height. We need only substitute height (20in) and pi=3.14 to get the numerical equation: r=0.2185* $\sqrt{V}$

5 0

3 years ago