Any help would be great!

Mathematics

2 answers:

Virty [35]3 years ago

6 0

Answer:

Step-by-step explanation:

bearhunter [10]3 years ago

3 0

A dilation transforms an object by making it larger or smaller. When you increase a pre-image to create a larger image, the dilation is called an enlargement. When you decrease the pre-image to create a smaller image, the dilation is called a reduction.

When dilating a triangle the side lengths change because the pre-image is enlarged or reduced to create the image. Therefore, the lengths of each side will change. However, the angle measures of a preimage and its image after dilation do not change (angles do not change in dilation).

with this information we can easily get rid of A & C. betweenness of points don't tell us if the shapes are congruent or not. So therefore D is the answer.

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Write the differential equation model that fits the given description. (a) The rate of change of the volume of a snowball (due t

miskamm [114]

Answer:

a) he rate of change of the volume of a snowball (due to melting) is proportional to the square of the volume at time t. Initially, the snowball has a volume of 900 cm3

$\frac{dV(t)}{dT} = A*V(t)^{2} \\$ and V(0) = 900 $cm^{3}$

where A is a real constant, it appears because it says that the change i volume (dV/dt) is "proportional" to $V(t)^{2}$ . Furthermore, we should assume that A is a negative number, because the volume of the snowball will decrease as the time pasese by.

(b) For an insect moving along some path, the velocity at time t is proportional to the square root of its position.

$\frac{dr(t)}{dt} = B*\sqrt{r(t)}$

Here again appears a constant B for the "proportional" part. And i wrote the velocity as $\frac{dr(t)}{dt}$ "the rate of change of the position with respect to te time".