Please help me with both problems I’ll mark as brainliest!!!

Mathematics

1 answer:

borishaifa [10]3 years ago

3 0

Answer:

7. x = 9

9. x=7

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Express in simplest radical form.<br> V40

Andrews [41]

Answer:

$\huge\boxed{2 \sqrt{10}}$

Step-by-step explanation:

When taking a square root and making it a radical, we need to list out it's factors and find which one we can take the square root of.

The factors of 40 are:

1, 2, 4, 5, 8, 10, 20, 40.

Out of these, we need to look for one that we can find the square root of.

We know that the square root of 4 is 2.

Therefore, we can make $\sqrt{40}$ into $\sqrt{4 \cdot 10}$ .

The square root of 4 is 2. Therefore, we can put that outside the radical.

$2 \sqrt{10}$ .

Hope this helped!

7 0

3 years ago

Derive this with respect to x<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B%281%20%2B%20%20secx%29%20%7D%20" id="Tex

Elenna [48]

$~~~~\dfrac{d}{dx} \left(\dfrac{3}{1 + \sec x} \right)\\\\\\=3 \dfrac{d}{dx} \left( \dfrac 1{ 1+ \sec x} \right)\\\\\\=3 \dfrac{d}{dx} (1+ \sec x)^{-1}\\\\\\=3 (-1) (1 + \sec x )^{-1 -1} \dfrac{d}{dx}( 1 + \sec x)\\\\\\=-3(1 + \sec x)^{-2} ( 0 + \sec x \tan x)\\\\\\=-\dfrac{3\sec x \tan x}{(1 + \sec x)^2}$