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Vinil7 [7]
2 years ago
14

Help fast please geometry

Mathematics
2 answers:
yanalaym [24]2 years ago
7 0

Answer:

3\sqrt{6}

Step-by-step explanation:

so first the triangle on the left has 90 degrees and 45 degrees. this means the third missing angle is 45 degrees, making it an isosceles triangle

keep in mind that the 2 side lengths (not hypotenuse are the same)

use Pythagorean theorem

9^2 = a^2 +b^2

and a=b because the lengths are equal

so 81= 2a^2

40.5= a^2

a= \sqrt{40.5

the triangle on the right is a 30 60 90 triangle

thus its side lengths are in a special ratio, see screenshot attached

\sqrt{40.5} is between 90 and 30 degrees so it is a\sqrt{3} where a is common factor

find a

\sqrt{40.5} =a\sqrt{3} \\a=\sqrt{13.5} \\a= -\sqrt{13.5}

not negative because in context this is geometry there are no negative lengths

so a= \sqrt{13.5}

x in this 30 60 90 triangle is 2a

so 2*\sqrt{ 13.5}

which is equal to 3\sqrt{6}

please mark brainleist lol

hope this helps !! gl

frozen [14]2 years ago
6 0

Answer:

3√6

Explanation:

explanation is in the image above

HOPE THIS HELPS PLEASE MARK ME BRAINIEST

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<h3>Answer:   14x - 8</h3>

=======================================================

Explanation:

I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.

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This leads to...

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-11)\pm\sqrt{(-11)^2-4(12)(-5)}}{2(12)}\\\\x = \frac{11\pm\sqrt{361}}{24}\\\\x = \frac{11\pm19}{24}\\\\x = \frac{11+19}{24} \ \text{ or } \ x = \frac{11-19}{24}\\\\x = \frac{30}{24} \ \text{ or } \ x = \frac{-8}{24}\\\\x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}

Now use those roots to form these steps

x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}\\\\4x = 5 \ \text{ or } \ 3x = -1\\\\4x - 5 =0 \ \text{ or } \ 3x+1 = 0\\\\(4x-5)(3x+1) = 0

Refer to the zero product property for more info.

Therefore, the original expression factors fully to (4x-5)(3x+1)

Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.

----------------------------------------------

We did that factoring so we could find the side lengths of the rectangle.

I'm using the fact that area = length*width

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The order of length and width doesn't matter.

From here, we can then compute the perimeter of the rectangle

P = 2(L+W)

P = 2(4x-5+3x+1)

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P = 14x - 8

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