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Vadim26 [7]
3 years ago
7

Draw a segment perpendicular to each given segment. Show your thinking by sketching triangles as needed.

Mathematics
1 answer:
Digiron [165]3 years ago
7 0

Answer:

pls dont kill me for wacky lines. this shall just give you a basic idea. the important part is the 90° angle

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Differentiating Functions of Other Bases In Exercise, find the derivative of the function.
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Answer:

\dfrac{dy}{dx} = \frac{2x-3}{\ln 16(x^2 - 3x)}

Step-by-step explanation:

We are given the following in the question:

y = \ln {16}(x^2 - 3x)

We have to find the derivative of the given expression.

y = \ln 16(x^2 - 3x)\\\text{Using the log propert}\\\\\log_a b = \dfrac{\log b}{\log a}\\\\dfrac{d(x^n)}{dx} = nx^{n-1}\\\\\dfrac{d(\log x)}{dx} = \dfrac{1}{x}\\\\\text{\bold{Differentiating we get}}\\\\\displaystyle\frac{dy}{dx} = \frac{d(\ln 16(x^2-3x))}{dx}\\\\= \frac{1}{16(x^2-3x)})\frac{d(x^2-3x)}{dx}\\\\=\frac{1}{\log 16(x^2-3x)}(2x - 3)\\\\= \frac{2x-3}{\ln 16(x^2 - 3x)}

\dfrac{dy}{dx} = \frac{2x-3}{\ln 16(x^2 - 3x)}

7 0
4 years ago
The density of air is approximately 1.225 kg/m^3 what is the volume of a soccer ball if the mass of the air it contains is 0.08
svetoff [14.1K]
Using the the density(D)-mass(m)-volume(V) formula m=DV, we can calculate the volume  V= \frac{m}{D}= \frac{0.08}{1.225}= 0.0653 m^{3} 
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3 years ago
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Step-by-step explanation:

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3 years ago
If LMNO is a rectangle, and mMON = 30, what is the value of x?
sladkih [1.3K]

Answer:

The answer is the option E

120\°

Step-by-step explanation:

we know that

If LMNO is a rectangle

then

The triangle OCN is an isosceles triangle----> (C is the center of the rectangle)

so

m ------> the base's angles of the isosceles triangle

m -----> by vertical angles

Remember that the sum of the internal angles of a triangle must be equal to 180\°

therefore

2*30\°+x\°=180\°

solve for x

x=180\°-2*30\°=120\°

6 0
3 years ago
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4. Six times the sum of a number and 3 is 12 less than 12 times the
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this is not clearly asked.

Step-by-step explanation:

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