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3 years ago

Which image is the translation of angle abc given by the translation rule (x, y)->(x-2, y+2)

Mathematics

1 answer:

Nutka1998 [239]3 years ago

7 0

Answer:

This figure (c) is the correct figure which is attached below as the figure is being translated to 2 units i.e. moving 2 units to the right (x-axis) and 2 units down in the direction of y axis down (y-axis).

Step-by-step explanation:

<em>Note: As you have unintentionally missed to attach the image figures. After a little research I am attaching all the figures that you probably had to attach here. So, I an answering based on the reference of these figures. Anyhow, hopefully, it may clear your concept about the translation of any figure.</em>

Solution:

In mathematics, translation is regarded as a term which generally expresses a function, being able to move an image, object or figure a certain distance.

As the rule of the translation is mentioned as (x, y) ⇒ (x+2, y-2)

It means the figure is being translated to 2 units i.e. moving 2 units to the right (x-axis) and 2 units down in the direction of y axis down (y-axis).

So, this figure (c) is the correct figure which is attached below.

Keywords: translation

Learn more about translation from brainly.com/question/10929103

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Answer:

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c) $A=\pi\cdot (5t)^2$

d) $A=25\pi t^2$

Step-by-step explanation:

We know that the circle is increasing its radio from an initial state of r=0 cm, at a rate of 5 cm/s.

This can be expressed as:

$r(0)=0\\\\dr/dt=5\\\\r(t)=r(0)+dr/dt\cdot t=0+5t\\\\r(t)=5t$

a) Radius of the circle, r (in cm), in terms of the number of seconds, t since the circle started growing:

$r(t)=5t$

b) Area of the circle, A (in square cm), in terms of the circle's radius, r (in cm):

$A=\pi\cdot r^2$

c) Circle's area, A (in square cm), in terms of the number of seconds, t, since the circle started growing:

$A=\pi\cdot r^2\\\\A=\pi\cdot (5t)^2$

d) Expanded form for the area A:

$A=\pi\cdot (5t)^2=25\pi\cdot t^2$

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