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leva [86]
3 years ago
10

What is 2(2x-5)=6x+4

Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0
4x-10=6x+4; -10=2x+4; -14=2x; x=-7
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Find the possible dimensions of the picture above please
Svetlanka [38]

Answer:

(2x – 7) × (2x + 7)

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = (4x² – 49) m²

Dimension =?

The picture in the question above has a rectangular shape. Thus, the area is given by:

Area (A) = Length (L) × Width (W)

A = L × W

The dimension of the shape will be:

L × W

Now, we shall determine the dimension (L × W) as follow:

Area (A) = (4x² – 49) m²

Dimension (L × W) =?

A = L × W

L × W = 4x² – 49

Recall:

4 = 2²

49 = 7²

Thus,

L × W = 2²x² – 7²

L × W = (2x)² – 7²

Different of two squares

L × W = (2x – 7)(2x + 7)

L × W = (2x – 7) × (2x + 7)

Dimension = (2x – 7) × (2x + 7)

Therefore, the possible dimension (L × W) of the shape is (2x – 7) × (2x + 7)

4 0
3 years ago
Which function represents the graph of h(x)=2|x+3|−1 after it is translated 2 units right?
harina [27]

\bf ~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill\\\\ \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}

\bf ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}

\bf ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}

now with that template in mind

\bf h(x)=\stackrel{A}{2}|\stackrel{B}{1}x+\stackrel{C}{3}|\stackrel{D}{-1}\qquad \qquad \stackrel{\textit{C=C-2 a translation to the right}}{h(x)=2|x\boxed{+3-2}|-1} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill h(x)=2|x+1|-1~\hfill

8 0
3 years ago
Read 2 more answers
What is the approximate solution to the equation 3t=29 ? 0.3263 3.0650 3.3672 9.6667
Norma-Jean [14]

Answer:

9.6667

Step-by-step explanation:

3t=29

Divide each side by 3

3t/3 = 29/3

t = 29/3

Three goes into 29  nine times  (3*9 = 27 ) with 2 left over

t =  9 2/3

We know 1/3 = .3 repeating

so 2/3  = .6 repeating


t = 9 .6 repeating

7 0
2 years ago
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there are 10 boy and 10 girl in a group, 2 boys are to selected and 2 girl are to selected for the play, how many ways can they
Deffense [45]

Answer:

400 ways

Step-by-step explanation:

Times 10 x 10 x 2 x 2  to get your answer

3 0
2 years ago
Below are two parallel lines with a third line intersecting them.
Ulleksa [173]

Answer:

x = 88

Step-by-step explanation:

These angles are same side exterior angles, and when the lines are parallel, same side exterior angles are supplementary

x + 92 =180

Subtract 92 from each side

x+92-92=180-92

x =88

4 0
3 years ago
Read 2 more answers
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