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qaws [65]
3 years ago
7

In an inequality between two numbers, -0.8 is located below the other number on the vertical number line. Which condition would

the other number satisfy?
A.) The other number is lesser than -0.8.
B.) The other number is greater than -0.8.
C.) The other number is equal to -0.8.
D.) The other number is greater than all numbers.
Mathematics
2 answers:
Anarel [89]3 years ago
8 0
On vertical line, when you go from bottom to upper direction,then the number increases. In short, the other number which is located above -0.8 will be greater than that.

In short, Your Answer would be: Option B

Hope this helps!
BigorU [14]3 years ago
5 0
The answer is B. If -0.8 was below the other number, the other number would be above it.
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Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)
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             \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>

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