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2 years ago

Which is the solution to 2 x − 6 + 4 = 14 ?

Mathematics

2 answers:

Kaylis [27]2 years ago

8 0

Answer:

x=8

Step-by-step explanation:

2x-6+4=14

Combine like terms

2x-2=14

Add 2

2x=16

Divide

x=8

Checking work)

2(8)-2=14

16-2=14

14=14

Bond [772]2 years ago

8 0

Answer:

x = 8

Step-by-step explanation:

2x - 6 + 4 = 14 , that is

2x - 2 = 14 ( add 2 to both sides )

2x = 16 ( divide both sides by 2 )

x = 8

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3 years ago

A rectangular patio has a length of 12 1/2 feet and an area of 103 1/8 square feet. What is the width of the patio?

Rina8888 [55]

Length of the rectangular patio = 12 1/2 feet
      = 25/2 feet
Area of the rectangular patio = 103 1/8 square feet
   = 825/8 square feet
Let us assume the width of the rectangular patio = x feet
Then
Area of the rectangular patio = Length * Width
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6 0

3 years ago

which of the following gives an equation of a line that passes through the point (6 over 5, -19 over 5) and is parallel to the l

victus00 [196]

One equation for this would be

$y = \frac{41}{16} x-\frac{55}{8}$

We start by finding the slope between the two points:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-\frac{-19}{5}}{-2-\frac{6}{5}}
\\
\\=(-12+\frac{19}{5}) \div (-2-\frac{6}{5})
\\
\\=(\frac{-60}{5}+\frac{19}{5}) \div (\frac{-10}{5}-\frac{6}{5})
\\
\\=\frac{-41}{5} \div \frac{-16}{5}=\frac{-41}{5} \times \frac{-5}{16}=\frac{41}{16}$

A line parallel to this one will have the same slope. We will use point-slope form to write our equation:

$y-y_1=m(x-x_1)
\\
\\y-\frac{-19}{5}=\frac{41}{16}(x-\frac{6}{5})
\\
\\y+\frac{19}{5}=\frac{41}{16}x- \frac{41}{16} \times \frac{6}{5}
\\
\\y+\frac{19}{5}=\frac{41}{16}x-\frac{246}{80}
\\
\\y+\frac{304}{80}=\frac{41}{16}x-\frac{246}{80}
\\
\\y=\frac{41}{16}x-\frac{246}{80}-\frac{304}{80}
\\
\\y=\frac{41}{16}x-\frac{550}{80}
\\
\\y=\frac{41}{16}x-\frac{55}{8}$

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3 years ago

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Scorpion4ik [409]

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