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Verizon [17]
3 years ago
9

HELP DUE TODAY PLSSS

Mathematics
1 answer:
pashok25 [27]3 years ago
5 0

Answer:

x=12

Step-by-step explanation:

32/2x = x/9; because the triangles are similar

32 = 2x^2/9

288 = 2x^2

144 = x^2

x = 12 or x = -12, but the latter is nonsensical.

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I'm genuinely lost in any problems like this and my teachers are no help, I need help doing exponents in general, everything to
Stolb23 [73]

Answer:

See below.

Step-by-step explanation:

4)

So we have the expression:

(-6n^{-3})^2

We can use the power of a product property, where:

(ab)^n=a^n\cdot b^n

So:

=(-6)^2\cdot(n^{-3})^2

For the left, -6 squared is the same as -6 times -6. This equals positive 36.

For the right, we can use the power of a power property. The property says that:

(a^n)^k=a^{nk}

So:

(n^{-3})^2=n^{(-3)(2)}\\=n^{-6}

So, all together, we have:

=(-6)^2\cdot(n^{-3})^2\\=36n^{-6}

6)

We have the expression:

-\frac{3x^0}{x^4}

First, note that anything to the zeroth power (except for 0) is 1, thus, x^0 is also 1. Simplify:

=-\frac{3}{x^4}

And that's the simplest we can do :)

Notes for 6)

We <em>can</em> put the x^4 to the numerator. Recall that when you put an exponent to opposite side, you put a negative. In other words:

x^n=\frac{1}{x^{-n}}

And vice versa:

\frac{1}{x^{-n}}=x^n

So, we can write the above as:

=-\frac{3}{x^4}\\=-\frac{3}{x^{-(-4)}}\\=-3x^{-4}

However, traditionally, we want only positive exponents, so this wouldn't be correct.

4 0
3 years ago
Read 2 more answers
Thomas has finished 4 problems of his weekly math homework. If he needs to solve a total of 20 problems, which of the following
padilas [110]

Answer: The reason why this is the answer is because 4 out of 20 (4/20) is 0.2, so 16 out of 20 (16/20) is 0.8

Step-by-step explanation:

3 0
2 years ago
Calculate the amount of heat (in kJ) released when 3.5 mol CH4 react. 4() + 22() → 2() + 22() + 890
In-s [12.5K]

The amount of heat (in KJ) released when 3.5 moles of CH₄ react is 3115 KJ

<h3>Balanced equation</h3>

CH₄ + 2O₂ -> CO₂ + 2H₂O ΔH = 890 KJ

From the balanced equation above,

1 mole of CH₄ reacted to release 890 KJ of heat energy.

<h3>How to determine the heat energy released by 3.5 moles of CH₄</h3>

From the balanced equation above,

1 mole of CH₄ reacted to release 890 KJ of heat energy

Therefore,

3.5 moles of CH₄ will react ro release = 3.5 × 890 = 3115 KJ of heat energy

Thus, 3115 KJ of heat energy were released from the reaction

Learn more about enthalpy change:

brainly.com/question/11967318

#SPJ1

5 0
1 year ago
Someone please help me and fast if you can:(
Lostsunrise [7]
The y intercept of the function is 700. And you are correct with the other one
6 0
3 years ago
Read 2 more answers
F(x)=2x+6
mrs_skeptik [129]

Answer:

The Correct option is B. B.-10x^2-48x-54

Therefore the product of f and g. is

F(x)\times G(x)=-10x^{2}-48x-54

Step-by-step explanation:

Given:

F(x)=2x+6

G(x)=-5x-9

To Find:

The product of f and g.

F(x) × G(x) = ?

Solution:

The product of f and g.

F(x)\times G(x)=(2x+6)(-5x-9)

Applying Distributive Property we get

F(x)\times G(x)=(2x(-5x-9)+6(-5x-9)\\=-10x^{2}-18x-30x-54\\

Combining like terms we get

F(x)\times G(x)=-10x^{2}-48x-54

Therefore the product of f and g. is

F(x)\times G(x)=-10x^{2}-48x-54

7 0
2 years ago
Read 2 more answers
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