Determine the absolute value. Type the numerical answer only. -l12l

Mathematics

1 answer:

mote1985 [20]3 years ago

7 0

Answer:

-12

cause l12l is 12 then u add the negative sign.

Step-by-step explanation:

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What is the awnser to the circled equations?

pshichka [43]

Answer:

$y = - \frac{1}{3}x - 1$

Step-by-step explanation:

We have to write an equation of a line which passes through the given point (-9,2) and is perpendicular to the given straight line y = 3x - 12 ........... (1)

Now, equation (1) is in the slope-intercept form and the slope of the line is 3.

Let, m is the slope of the required line.

So, 3m = -1

{Since, the product of the slopes of two perpendicular straight lines is -1}

⇒ $m = - \frac{1}{3}$

Therefore, the equation of the required line in slope intercept form is

$y = - \frac{1}{3} x + c$ {Where c is a constant}

Now, this above equation passes through the point (-9,2) point.

So, $2 = - \frac{1}{3} \times (-9) + c$

⇒ 2 = 3 + c

⇒ c = - 1

Therefore, the equation of the required straight line is $y = - \frac{1}{3}x - 1$ (Answer)

5 0

3 years ago

The midpoint of A (-4, 2) and B(8, 5) is

Norma-Jean [14]

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -4}}\quad ,&{{ 2}})\quad 
% (c,d)
&({{ 8}}\quad ,&{{ 5}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ 8}} -4}{2}\quad ,\quad \cfrac{{{ 5}} + {{ 2}}}{2} \right)$