3 years ago

What is the midpoint of (10,6) and (4,9)

Mathematics

1 answer:

Leona [35]3 years ago

4 0

Answer:

The midpoint is (7,7.5)

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Find the area of a regular octagon with a side length of 4 cm.

goblinko [34]

Answer:

77.25 cm^2

Step-by-step explanation:

Area of a regular octagon :

2a^2(1 + (sqrt2))

where a is the side

substitute 4 in for 'a'

6 0

2 years ago

Solve for x. (e^x-e^-x)/((e^x+e^-x)=t

Sergio [31]

$\dfrac{e^x-e^{-x}}{e^x+e^{-x}}=t\\\\
\dfrac{e^{2x}-1}{e^{2x}+1}=t\\\\
e^{2x}-1=t(e^{2x}+1)\\\\
e^{2x}-1=e^{2x}t+t\\\\
e^{2x}-e^{2x}t=t+1\\\\
e^{2x}(1-t)=t+1\\\\
e^{2x}=\dfrac{t+1}{1-t}\\\\
e^{2x}=-\dfrac{t+1}{t-1}\\\\
2x=\ln\left(-\dfrac{t+1}{t-1}\right)\\\\
x=\dfrac{\ln\left(-\dfrac{t+1}{t-1}\right)}{2}\qquad t\in(-1,1)



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