The ship A sails north at the rate of 14 mile per hour , it represent the opposite side of a triangle. Ship B start at the same point and move east at the rate of 18 miles per hour, it represent the adjacent side.

The other rate telling you how fast the distance between them are changing can be computed using the Pythagorean theorem, since the change in time is 1 hour. From 12 noon to 1 pm.

c = ?

a = 14

b = 18

c² = a² + b²

c² = 14² + 18²

c² = 196 + 324

c² = 520

c = √520

c = 22.803508502

c = 22.8 miles/hr

5 0

3 years ago

Identify a horizontal or vertical stretch or compression of the function f(x)=\sqrt(x) by observing the equation of the function

ale4655 [162]

By applying the concept of transformation, the transformed function g(x) = √[(3/2) · x] is the consequence of applying a stretch factor of 3/2 on the parent function f(x) = √x.

<h3>How to compare two functions by concepts of transformation</h3>

In this question we have a parent function g(x) = √[(3/2) · x] and a transformed function f(x) = √x. Transformations are operations in which parent functions are modified in their relationships between inputs and outputs.

In this case, the difference between f(x) and g(x) occurred because of the application of a operation known as vertical stretch, defined below:

f(x) = g(k · x), k > 0 (1)

Where k is the stretch factor. There is a compression for 0 ≤ k < 1.

By applying the concept of transformation, the transformed function g(x) = √[(3/2) · x] is the consequence of applying a stretch factor of 2/3 on the parent function f(x) = √x. (Right choice: C)

To learn more on transformations: brainly.com/question/11709244

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7 0

2 years ago

What caused the great number of native American deaths?

Alex_Xolod [135]

Native American deaths were mainly caused by the introduction of new diseases and weapons brought mainly by Europeans.

4 0

4 years ago

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