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kari74 [83]
3 years ago
5

If the radius of the circle is multiplied by a factor of 3, then the area of the circle is multiplied by a factor of

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
8 0
\bf \textit{area of a circle}\\\\
A=\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
r=\stackrel{r\times 3}{3r}
\end{cases}\implies A=\pi (3r)^2
\\\\\\
A=\pi (3^2r^2)\implies A=9(\pi r^2)

notice, if the original area was πr², then the new area has a factor in front of it, that much.
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3 years ago
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Answer:

y = \dfrac{1}{2}x-4

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<h2>Equation of line in slope y-intercept form:</h2>

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1 year ago
1/27^-x=81^2x+2 find x​
Umnica [9.8K]

Answer:

Step-by-step explanation:

81

=

3

4

and

27

=

3

3

, so this equation can also be written as

3

4

x

=

3

3

(

x

+

2

)

=

3

3

x

+

6

.

Since the bases are now the same, we can equate exponents to get

4

x

=

3

x

+

6

so that

x

=

6

(technically this equating of exponents requires the fact that exponential functions (with base not equal to 1) are one-to-one functions).

(do u understand?)

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