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Lera25 [3.4K]
3 years ago
14

What is this? 3/4(x+8)>1/2(2x+10)

Mathematics
1 answer:
joja [24]3 years ago
3 0

Answer:

-8 < x < -5 or x > -4

Step-by-step explanation:

(Work cannot be showed due to issue occured)

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Change 725 percent to a mixed number
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The answer to your question is 7 25/100 or simplified to 7 1/4 because percent means out of 100 and if there is 700 then there is 7 wholes thn you have 25/100 or 1/4
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Six hundred pictures are taken at a photo shoot. Twelve percent of the pictures are black and white. Which equation can be used
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600(.12)= 72
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Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)
DanielleElmas [232]

             \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

          <em>Write the equation of a line perpendicular to y=-12x+2 going </em>

<em>            through (0, -1)</em>

<em />

<em>      </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

        First, let's take a look at our provided information:-

  • A line \text{y=-12x+2}
  • A point (0, -1)
  • The line \text{y=-12x+2} is perpendicular to the line that goes through (0, -1)

     If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.

   So we take the slope of the given line, which is -12, change its sign from minus to plus:-

\Large\textit{12}

And now, We flip the number over:-

\Large\text{$\displaystyle\frac{1}{12}$}

Now that we've found the slope of the line, let's find its equation.

     The first step is to write it in point-slope form as follows:-

\longmapsto\sf{y-y_1=m(x-x_1)}

Replace letters with numbers,

\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}

On simplification,

\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}

On further simplification,

\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}

Subtracting 1 on both sides,

\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}

\Uparrow\texttt{Our equation in slope-intercept form}

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

\rule{300}{1}

5 0
2 years ago
A picture frame is 18 inches long and 8 inches tall. It is 2 inches wide on all 4 side. What is the area of the picture frame?
Harrizon [31]
x=18-2\cdot2=18-4=14\ (in)\\\\y=8-2\cdot2=8-4=4\ (in)\\\\A=xy\to A=14\cdot4=56\ (in^2)

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3 years ago
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