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vredina [299]
3 years ago
6

6(x-6)+4=8(x+2)-4 The solution is

Mathematics
2 answers:
vampirchik [111]3 years ago
7 0
6(x-6)+4=8(x+2)-4\\
6x-36+4=8x+16-4\\
2x=-44\\
x=-22
UkoKoshka [18]3 years ago
6 0
6(x-6)+4=8(x+2)-4

6(x-6)=8(x+2)-4-4

6(x-6)=8(x+2)-8

6x-36=8[(x+2)-1]

6x-36=8[x+2-1]

6x-36=8(x+1)

6x-36=8x+8

8x-6x=-36-8

2x=-44

Therefore, x=-22, as 2(-22)=-44.
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Answer:

x=2

TU:4(2)-1=7

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4x-1+2x-1=5x

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3 years ago
The formula for the surface area of a right prism is LaTeX: A=2B+PhA = 2 B + P h. Solve for LaTeX: hh. Which equation gives a co
qaws [65]

Answer:

h = \frac{A - 2B}{P}

Step-by-step explanation:

A = 2B + Ph

Required

Solve for h

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3 years ago
The diagonals of quadrilateral ABCD intersect at E(−2,4). ABCD has vertices at A(1,7) B(−3,5). What must be the coordinates of C
LUCKY_DIMON [66]

Answer:

The coordinates of C and D are (1, 3) and (-5, 1), respectivelly.

Step-by-step explanation:

Since E is the midpoint of diagonals AD and BC (see attachment). That is:

AD = 2 \cdot AE

BC = 2\cdot BE

The vectorial distances of AE and BE are, respectively:

\overrightarrow{AE} = \vec E - \vec A

\overrightarrow {AE} = (-2,4) -(1,7)

\overrightarrow{AE} = (-2-1, 4-7)

\overrightarrow {AE} = (-3,-3)

\overrightarrow{BE} = \vec E - \vec B

\overrightarrow {BE} = (-2,4) - (-3,5)

\overrightarrow {BE} = (-2+3, 4-5)

\overrightarrow {BE} = (1,-1)

Now, the relative vectorial distances to C and D are now obtained:

\overrightarrow {AD} = 2\cdot  \overrightarrow {AE}

\overrightarrow {AD} = 2 \cdot (-3,-3)

\overrightarrow{AD} = (-6, -6)

\overrightarrow {BC} = 2 \cdot \overrightarrow {BE}

\overrightarrow{BC} = 2 \cdot (1,-1)

\overrightarrow {BC} = (2,-2)

Lastly, the coordinates are found by the following vectorial equations:

\vec C = \vec B + \overrightarrow {BC}

\vec C = (-3,5) + (2,-2)

\vec C = (-3+2, 5 -2)

\vec C = (-1,3)

\vec D = \vec A + \overrightarrow {AD}

\vec D = (1,7) + (-6,-6)

\vec D = (1-6, 7 -6)

\vec D = (-5, 1)

The coordinates of C and D are (1, 3) and (-5, 1), respectivelly.

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4 years ago
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MatroZZZ [7]
On which one? You did not provide anything for me to help you with.
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