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frozen [14]
3 years ago
15

Solve (x + 6)/x - 4) = -16 0 (-12. 22) 0 1-4. 2) O {-4. 6)

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
7 0

Answer:

3\frac{7}{17}

Step-by-step explanation:

\frac{(x + 6)}{(x - 4)}  =  - 16 \\  \\ x + 6 =  - 16(x - 4) \\ x + 6 =  - 16x + 64 \\ x + 16x = 64 - 6 \\ 17x = 58 \\ x =  \frac{58}{17}  \\ x =  3\frac{7}{17}  \\

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Translate this phrase into an algebraic expression.
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17+2g

Step-by-step explanation:

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Can someone please help me find the measure of the exterior angle.
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Answer:

X=128°

Step-by-step explanation:

Because an exterior angle of a triangle is equal to of the two opposite interior angle.

The sum of the exterior and interior angle is equal to 180°

In this case the part marked red = 90° because is a right angled triangle.

90+38=128

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180- 52=128

x=128.

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Which geometric series diverges? Three-fifths three-tenths three-twentieths StartFraction 3 Over 40 EndFraction ellipsis Negativ
Sholpan [36]

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}

<h3>What is geometric series diverges? </h3>

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

a+ar+ ar^2+ ar^3+...

Here,

is the (<em>a</em>) first term of the sequence, and (<em>r</em>) is the common ratio.

To be a series as geometric series diverges, it should follow,

|r| > 1

First option given as,

3/5+3/10+3/20+3/40+ ...

Here, the common ratio is,

r=\dfrac{\dfrac{3}{10}}{\dfrac{3}{5}}\\r=\dfrac{1}{2}

The common ratio is less than one. Thus option a is not correct.

First option given as,

-10+4-8/4+18/25- ...

Here, the common ratio is,

r=\dfrac{4}{-10}\\r=\dfrac{-2}{5}

For the option number two the common ratio is (-2/5) which is less than 1. This option is also not correct.

In the option number c, the value of common ratio is -4. The absolute value of common ratio is,

|r|=|-4|\\|r|=4

The absolute value of this common ratio is more than one. Thus, this is the correct option.

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}

Learn more about the geometric sequence here;

brainly.com/question/1509142

7 0
2 years ago
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