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3 years ago

Simplify the given equation 5x+2(x-3)=-2(x-1)

Mathematics

1 answer:

olga_2 [115]3 years ago

7 0

Answer:

x =8/9 i dont know if im correct

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3 years ago

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kiruha [24]

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Step-by-step explanation:

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2 years ago

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Find the value of x please and thank you

Pachacha [2.7K]

Given:

In triangle DEF, HG is parallel to DF.

To find:

The value of x.

Solution:

In triangles DEF and GEH,

$\angle DE F\cong \angle GEH$ (Common angle)

$\angle EDF\cong \angle EGH$ (Corresponding angle)

$\Delta DE F\sim \Delta GEH$ (By AA property of similarity)

We know that corresponding sides of similar triangle are proportional.

$\dfrac{DE}{GE}=\dfrac{DF}{GH}$

$\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}$

$\dfrac{x+14}{x+5}=2$

$x+14=2(x+5)$

$x+14=2x+10$

Isolating variable terms, we get

$x-2x=-14+10$

$-x=-4$

$x=4$

Therefore, the value of x is equal to 4.

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2 years ago

An exponent is also called___.

bija089 [108]

Answer:

An expression that represents repeated multiplication of the same factor is called a power.

Step-by-step explanation:

The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.

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3 years ago

Fundamental theorem of calculus<br> <img src="https://tex.z-dn.net/?f=g%28s%29%3D%5Cint%5Climits%5Es_6%20%7B%28t-t%5E4%29%5E6%7D

mr_godi [17]

Answer:

$\displaystyle g'(s) = (s-s^4)^6$

Step-by-step explanation:

The Fundamental Theorem of Calculus states that:
$\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)$

Where <em>a</em> is some constant.

We can let:
$\displaystyle g(t) = (t-t^4)^6$

By substitution:

$\displaystyle g(s) = \int_6^s g(t)\, dt$

Taking the derivative of both sides results in:
$\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]$

Hence, by the Fundamental Theorem:

$\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\ & = (s-s^4)^6\end{aligned}$

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2 years ago