3 years ago

9:12=15:______ I need the answer pls!

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

7 0

Answer:

15:20

Step-by-step explanation:

We can simplify the ratio to 3:4

after doing that we can multiply both sides by 5 giving us

15:20 as our answer

Or you can cross multiply

9 : 12 = 15 : x

Now we have 9x = 180

divide both sides by 9 and we get

x=20

which would work giving us the ratio of 9 : 12 = 15 : 20

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rewona [7]

A bit blurry, but if I'm making it out correctly, that's

$\displaystyle\int t\sqrt{(t^2-9)^3}\,\mathrm dt=\int t(t^2-9)^{3/2}\,\mathrm dt$

Set $u=t^2-9$ . Then $\mathrm du=2t\,\mathrm dt$ , or $t\,\mathrm dt=\dfrac{\mathrm du}2$ . The integral is then equivalent to

$\displaystyle u^{3/2}\dfrac{\mathrm du}2=\frac12\int u^{3/2}\,\mathrm du$
$=\dfrac12\dfrac{u^{5/2}}{\frac52}+C$
$=\dfrac12\times\dfrac25u^{5/2}+C$
$=\dfrac15u^{5/2}+C$
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