Which of the following is equal to

Mathematics

1 answer:

Wittaler [7]4 years ago

7 0

Anything inside a square foot can be multiplied together. In this case, it forms :
$\sqrt{9} \times \sqrt{4}$
So, B is the correct answer.

Technically, that expression can be further simplifyed, but that is not required on this question, so you're all good!

You might be interested in

Help rn have to get this done send answers

Afina-wow [57]

Answer:

D) 3 units

Step-by-step explanation:

Hope this helps! Pls give brainliest!

7 0

3 years ago

Integrate dx/3sinx+4cosx

german

$\displaystyle\int\frac{\mathrm dx}{3\sin x+4\cos x}$

A standard approach would be the tangent half-angle substitution:

$t=\tan\dfrac x2\implies\mathrm dt=\dfrac12\sec^2\dfrac x2\,\mathrm dx$

Then

$\sin x=2\sin\dfrac x2\cos\dfrac x2\implies\sin x=\dfrac{2t}{1+t^2}$

$\cos x=\cos^2\dfrac x2-\sin^2\dfrac x2\implies\cos x=\dfrac{1-t^2}{1+t^2}$

from which we get

$\mathrm dx=\dfrac2{1+t^2}\,\mathrm dt$

So the integral becomes

$\displaystyle\int\frac{\frac2{1+t^2}}{\frac{6t}{1+t^2}+\frac{4(1-t^2)}{1+t^2}}\,\mathrm dt=\int\frac{\mathrm dt}{3t+2(1-t^2)}=-\int\frac{\mathrm dt}{2t^2-3t-2}$