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viktelen [127]
3 years ago
10

What is the solution set of -|x|=-8

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0

-|x|=-8

-x = - 8

x = 8

and

- (-x) = - 8

 x = - 8

Answer

x = -8 ,  8

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Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)
Sedbober [7]

Answer:   \bold{y=-\dfrac{1}{3}x-1}

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


6 0
2 years ago
If a figure is translated 5 units down and 3 units right, how do you represent it algebraically
qwelly [4]

Answer

(x+3) -5

Step-by-step explanation:

plug the values into the parent transformation equation to its rightful places

6 0
2 years ago
PLEASE HELP!!!!!!!!
Vlad [161]

Answer: C is the answer

Step-by-step explanation:

7 0
3 years ago
Which expression could help you find the distance between (10, 4) and (–6, 4)? A. |10| + |–4| B. |10| + |4| C. |–6| + |4| D. |10
bazaltina [42]
It would be C because |-6| + |4| is basically 6+4 because the lines make the number positive. 6+4 is 10, which is the x value for the point. That 4 unites us the distance between the points.
5 0
3 years ago
1 = 1/4(2x + 8)<br> Need help finding the answer to this!!!
PolarNik [594]

1 = 1/4(2x+8)

1 = 1/2x + 2

1 - 2 = 1/2x

(-1) = 1/2x

x = (-1) : 1/2 = (-1) × 2/1 = (-2)

Answer : x = (-2)

3 0
2 years ago
Read 2 more answers
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