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Svetlanka [38]
3 years ago
15

5k - 9 - 2k + 3 = 3k - 6

Mathematics
1 answer:
Luda [366]3 years ago
3 0
The equation is true and interval notation.
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What is -6 multiplied by 1/2
kirill115 [55]
Turn the fraction into a decimal,so 1/2 would be .5 and then multiply that into -6 which would be -3
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3 years ago
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How to simplify this expression??
sdas [7]

Answer :

1

Step-by-step-explanation :

{x}^{2}  + 4x + 5 -  {(x + 2)}^{2}  \\  {x}^{2}  + 4x + 5 - ( {x}^{2}  + 4x + 4)   \\

{x}^{2}  + 4x + 5 -  {x}^{2}  - 4x - 4 =  {x}^{2}  -  {x}^{2}  + 4x - 4x + 5 - 4 = 5 - 4 = 1

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A triangle has vertices at (1,10), (-5,2), and (7,2). What is its orthocenter. Show your work.
kondor19780726 [428]

Answer:

Question: What is the orthocenter of a triangle with the vertices (-1,2) (5,2) and (2,1)?

The coordinates of point A are (-1,2), point B are (5,2), and point C are (2,1).

The orthocent is the intersection of the three altitudes. An altitude goes from a vertex and is perpendicular to the line containing the opposite side.

In the coordinate plane the equations of the altitudes can be found and then a system of equations can be solved.

Altitude 1. From point C perpendicular to the line containing side AB.

Slope of line AB is 0 (horizontal line), a vertical line is perpendicular to a horizontal line. Thus, the equation of altitude 1 is  x=2 .

Altitude 2. From point B perpendicular to the line containing side AC.

Slope of line AC is  −13 , the slope of a line perpendicular to line AC is 3. The equation of altitude 2 is  y=3x−13  

Altitude 3. From point A perpendicular to the line containing side BC.

Slope of line BC is  13 , the slope of a line perpendicular to line BC is  −3 . The equation of altitude 3 is  y=−3x−1  

The orthocenter is the point where all three altitudes intersect.

x=2  

y=3x−13  

y=−3x−1  

Use substitution to solve the first two equations  y=3(2)−13=−7  

The orthocenter is the point  (2,−7)  

we did not need the third equation, but we can use it as a check, plug the coordinates into the third equation:

−7=−3(2)−1  

−7=−6−1  

−7=−7  it works.

3 0
3 years ago
What is significant digit rules and how is it used?
torisob [31]

Answer:

Non-zero digits are always significant. Any zeros between two significant digits are significant. A final zero or trailing zeros in the decimal portion ONLY are significant.

Step-by-step explanation:

  • Non-zero digits are always significant.
  • Any zeros between two significant digits are significant.
  • A final zero or trailing zeros in the decimal portion ONLY are significant.

Heres a something that might help:

Download pdf
6 0
3 years ago
A carton is 15 inches long ,10 inches wide and 12inches high.Mindy wants to wrap to wrap up the carton. What is the minimum area
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1800 wrapping paper i believe
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