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Novosadov [1.4K]
3 years ago
15

12 x − 8 y = 24 6 x − y = 21

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
5 0

Answer: x=4

              y=3

Step-by-step explanation:

12x-8y=24

6x-y=21

---------------------

y=6x-21

12x-8(6x-21)=24

12x-48x+168=24

-36x=-144

x=144/36

x=4

y=24-21

y=3

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What are the characteristics of a quadrilateral?
gregori [183]

Answer:

Most known one: 4 sides

Step-by-step explanation:

They are closed shapes, their sides should be straight, they are strictly 2 dimensional, and finally, all quadrilaterals have 4 sides.

8 0
2 years ago
What is the slope of the points (-3,-2) and (-1, 2)
vfiekz [6]
The slope is 4/2, simplify to 2/1 or 2.
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3 years ago
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Is 4-heap Nim with heaps of sizes 22, 19, 14, and 11 balanced or unbalanced? Player I's first move is to remove 6 coins from the
nadya68 [22]

Answer:

Player II should remove 14 coins from the heap of size 22.

Step-by-step explanation:

To properly answer this this question, we need to understand the principle and what it is exactly is being asked.

This question revolves round a game of Nim

What is a game of Nim: This is a strategic mathematical game whereby,  two opposing sides or opponent take turns taking away objects from a load or piles. On each turn, a player remove at least an object and may remove any number of objects provided they all come from the same heap/pile.

Now, referring back to the question, we should first understand that:

                        22₂ = 1 0 1 1 0

                         19₂= 1 0 0 1 1

                         14₂= 0 1 1 1 0

                          11₂= 0 1 0 1 1

and also that the “bit sums” are all even, so this is a balanced game.

However, after Player I removes 6 coins from the heap of size 19, Player II should remove 14 coins from the heap of size 22.

3 0
3 years ago
At noon, Bradley began steadily increasing the
barxatty [35]

Answer:

25.5 mph

Step-by-step explanation:

So Bradley's speed can be modeled by the equation y=2x+40 where y=speed, x=time in hours after noon, and b=initial speed

So 12:15 is 15 minutes after noon, which is also 0.25 or 1/4 of an hour after noon. This is the x-value. Plug this into the equation to get his speed at 12:15

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8 0
1 year ago
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an artist enlarged a drawing she made. the original is 3cm wide and 5cm tall .the artist set the copier zoom button to 120% . wh
gizmo_the_mogwai [7]

For this case we have the following data:

The original dimensions of the drawing are:

  • Width: 3cm
  • Height: 5cm

If the copier zoom is at 120%, we can find the new dimensions of the drawing by making a rule of three:

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Where x represents the new width of the drawing:

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Answer:

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