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2 years ago

What is the soution to following equation: 1/2(x-10)=3/4(x+8)

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

5 0

Answer: x = -44

Step-by-step explanation:

1/2(x - 10) = $\frac{3}{4}$ (x+8) Apply the distributive property

1/2x - 5 = 3/4x + 6 Add 5 to both sides

+5 +5

1/2x = 3/4x + 11 Subtract 3/4x from both sides

-3/4x -3/4x

-1/4x = 11 Divide both sides by -1/4

x = -44

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Determine the degree of the given polynomial x^2 ( 1 - x^3)

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$\huge\boxed{\bf\:5}$

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Polynomial = $x^{2} (1 - x^{3})$ .

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Read 2 more answers

If tan ⁡x=12/5, and 0°

Charra [1.4K]

The value of sin(2x) is $\frac{120}{169}$

Explanation:

Given that $tan x =\frac{12}{5}$

The formula for $sin(2x)$ is $\sin (2 x)=2 \sin x \cos x$

Since, $\tan x=\frac{o p p}{a d j}$

Also, it is given that $tan x =\frac{12}{5}$

Thus, $opp=12$ and $adj=5$

To find the hypotenuse, let us use the pythagoras theorem,

$\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}$

Now, we can find the value of sin x and cos x.

$\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}$

$\cos x=\frac{a d j}{h y p}=\frac{5}{13}$

Now, substituting these values in the formula for sin 2x, we get,

$\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}$

Thus, the value of sin(2x) is $\frac{120}{169}$

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2 years ago

What is the soution to following equation: 1/2(x-10)=3/4(x+8)​

What is the soution to following equation: 1/2(x-10)=3/4(x+8)