3 years ago

Find the value of s in rectangle

Mathematics

1 answer:

Sphinxa [80]3 years ago

6 0

Answer:

s + 1 = 2s

s = 1

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If 6/10 = 21/K what is K

timama [110]

You can cross multiply for this problem. So:

$\frac{6}{10}=\frac{21}{K}\\6K=210\\K=35$

So K=35!

Hope this helps! :)

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3 years ago

Find all values of c such that 3^2c+1=28*3^c-9. If you find more than one value of c, then list your values in increasing order

avanturin [10]

$3^{2c} + 1 = 28\times3^c - 9 \implies 3^{2c} - 28\times3^c = -10$

Complete the square on the left side:

$3^{2c} - 28\times3^c = \left(3^{2c}-28\times3^c+14^2\right)-14^2 = \left(3^c-14\right)^2 - 196$

Then the equation becomes

$\left(3^c-14\right)^2 - 196 = -10 \\\\ \left(3^c-14\right)^2 = 186 \\\\ 3^c - 14 = \pm\sqrt{186} \\\\ 3^c = 14\pm\sqrt{186}$

Both 14 + √186 and 14 - √186 are positive numbers, so we can take the logarithm (base 3) of both sides without issue:

$\log_3\left(3^c) = c = \log_3\left(14\pm\sqrt{186}\right)$

Then in increasing order, the solutions are

c = log₃(14 - √186), c = log₃(14 + √186)

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sergejj [24]

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At the library by 9 books on a certain topic the librarian tells you that 55% of the books on this topic have been signed out ho

Alex17521 [72]

About 5 books have been signed out, so they still have 4.

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Step-by-step explanation:

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