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vovangra [49]
3 years ago
15

Complete factorization of 25a2 - 100?

Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0
25a^2-100? becasue if thats it is simple. its a difernece of squares. you just have to square root it. it becaomes (5a-10) (5a+10) so a=+/-2
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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
Jermaine is saving $60 per week for a new guitar. The amount he has saved, s, is represented by
german

Answer:

D

Step-by-step explanation:

8 0
3 years ago
Helpppppppp here plz
miv72 [106K]

Answer:

x + x+12 + 3(x+12) = 123

x = 15

Step-by-step explanation:

Jamil : x

Kiera : x+12

Luther : 3 ( x+12)

x + x+12 + 3(x+12) = 123

Distribute

x + x+12 + 3x+36 = 123

Combine like terms

5x+ 48 = 123

Subtract 48 from each side

5x+48-48 = 123-48

5x =75

Divide by 5

5x/5 = 75/5

x = 15

7 0
3 years ago
Read 2 more answers
I need help with this question
Black_prince [1.1K]

Answer:

Step-by-step explanation:

The slope-intercept form is found by solving that equation for y.

If y-3=\frac{1}{2}(x-1) then

y-3=\frac{1}{2}x-\frac{1}{2} and

y=\frac{1}{2}x-\frac{1}{2}+3 and

y=\frac{1}{2}x-\frac{1}{2}+\frac{6}{2} so

y=\frac{1}{2}x+\frac{5}{2}

The answer you have chosen is the correct one!  Good job!

6 0
3 years ago
What is the absolute deviation and range of the data set 134 139 145 152 174
malfutka [58]
The answer or range would be 40
6 0
3 years ago
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