If the point (-6,4) is dialated by a scale factor of 1/2, what would be the resulting point

1 answer:

3 0

It depend on the center of the dilation. For example, if the point (-6,4) is the center itself, than it will remain the same.

If the dilation has the origin as center, instead, the factor 1/2 simply means that you have to divide all coordinates by 2: the point (-6,4) becomes the point (-3,2)

You might be interested in

What is the domain of the function graphed below!?

enot [183]

Answer:

All Real Numbers

Step-by-step explanation:

The graph extends in the x axis infintley

5 0

3 years ago

Ella has two 8-ft. long boards. She

faust18 [17]

17.06. 17.07 if you round up

6 0

3 years ago

Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 2 sin(xy), (0, 5)

andrew-mc [135]

Answer:

Step-by-step explanation:

Given the function f(x, y) = 2 sin(xy) at (0,5), the maximum rate of change of the function at that point will occur in the direction $\nabla f(0,5)$

$\nabla f(x, y) = \frac{\delta(2sin(xy)) }{\delta x} i + \frac{\delta(2sin(xy)) }{\delta y} j\\\\\nabla f(x, y) = 2ycos(xy)i + 2xcos(xy)j\\\\\nabla f(0, 5) = 2(5)cos(0*5)i + 2(0)cos(0*5)j\\\\\nabla f(0, 5) = 10cos0i+ 0j\\\\\nabla f(0, 5) = 10i+0j\\\\||\nabla f(0, 5)|| = \sqrt{10^2+0^2} \\\\||\nabla f(0, 5)|| = \sqrt{100} = 10$