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laila [671]
3 years ago
12

a football team lost 5 yards on each of 3 plays. Explain how you could use a number line to find the teams change in feild posti

on after the 3 plays .
Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0
You would place a #line going from negatives on left to positive on right then place a point at positive 5 and go back 5, 3 times
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A circle's radius that has an initial radius of 0 cm is increasing at a constant rate of 5 cm per second.
djyliett [7]

Answer:

a) r(t)=5t

b) A=\pi\cdot r^2

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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