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3 years ago

Solve set of each equation 2|3x-2|= 14

Mathematics

1 answer:

avanturin [10]3 years ago

6 0

<h3>Solution:</h3>

$2(3x - 2) = 14 \\ = > 6x - 4 = 14 \\ = > 6x = 14 + 4 \\ = > 6x = 18 \\ = > x = \frac{18}{6} \\ = > x = 3$

<h3>Answer:</h3>

The answer is 3.

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Softa [21]

3.33 is the right answer

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3 years ago

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What is the value of tan(60°)? One-half StartRoot 3 EndRoot StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartFraction 1

Ratling [72]

Answer:

$\sqrt3$

Step-by-step explanation:

To find:

The value of $tan60^\circ$ = ?

Solution:

Kindly consider the equilateral $\triangle ABC$ as attached in the answer area.

Let the side of triangle = $a$ units

Let us draw the perpendicular from vertex A to side BC.

It will divide the side BC in two equal parts.

i.e. BD = DC = $\frac{a}{2}$

Using Pythagorean Theorem in $\triangle ABD$ :

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}$

Side AD = $\frac{\sqrt3}{2}a$

Using Trigonometric ratio:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tanB = \dfrac{AD}{BD}$

Putting the values of AD and BD:

$tan60^\circ=\dfrac{\frac{\sqrt3}{2}a}{\frac{1}{2}a}\\\Rightarrow tan60^\circ = \bold{\sqrt3}$

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3 years ago

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Nick and Adam work out together neck weighs 160 pounds is and is gaining 30 pounds per week Adam weighs 195 pounds and is losing

muminat

Answer:

(N+n)=(A+a)

Step-by-step explanation:

Let N represent Nick's current weight

Let A represent Adam's current weight

Let n represent weight Nick gains weekly

Let a represent weight Adam looses weekly

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you have already saved $55. you earn $9 per hour at your job. you are saving for a bicycle that cists $199. what inequality repr

Anon25 [30]

(199-55)/9= t
Let t equal the number of hours you have to work

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i already have the answers but i need to show my work. ill tell you my insta and please show me a picture of the work :))

Elodia [21]

Answer:

${( - 6)}^{2} \times {( - 6)}^{5}$

from law of indices:

${a}^{n} \times {a}^{m} = {a}^{(n + m)}$

therefore:

$= ( - 6) {}^{ \{2 + 5 \}} \\ = ( - 6) {}^{7} \\ = { \boxed{ \boxed{ - 279936}}}$

$- 4 {a}^{5} (6 {a}^{5} ) \\ = ( - 4 \times 6)( {a}^{5} \times {a}^{5} ) \\ = - 24 \{{a}^{(5 + 5)} \} \\ = { \boxed{ \boxed{ - 24 {a}^{10} }}}$

$( - 7 {a}^{4} b {c}^{3} )(5a {b}^{4} {c}^{2} ) \\ = ( - 7 \times 5)( {a}^{4} \times a)(b \times {b}^{4}) \times ( {c}^{3} \times {c}^{2} ) \\ = - 35 {a}^{5} {b}^{5 } {c}^{5} \\ = { \boxed{ \boxed{ - 35 {(abc)}^{5} }}}$

$\frac{ {8}^{15} }{ {8}^{13} }$

from law of indices:

$\frac{a {}^{n} }{ {a}^{m} } = {a}^{(n - m) } \\$

therefore:

$= {8}^{(15 - 13)} \\ { \boxed{ \boxed{ {8}^{2} = 64 }}}$

follow the procedure for application to other questions.

Any question, be free to ask. Thank you …

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