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Eddi Din [679]
3 years ago
11

Is the system of equations consistent and independent, consistent and dependent, or inconsistent?

Mathematics
1 answer:
Bess [88]3 years ago
4 0

Answer: It is consistent as the lines are intersecting lines and it has a unique solution

Step-by-step explanation:

Since we have given two systems of equation :

We need to check whether the system of equations is consistent or inconsistent.

As we know the formula for checking the consistency :

In the first equation, we have

similarly,

In the second equation, we have

So, According to the question, we have

Therfore , it is consistent as the lines are intersecting lines and it has a unique solution.

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Each picture shows a figure and its reflection. Which picture shows the line of reflection?
nikitadnepr [17]

Answer:

Bottom left

Step-by-step explanation:

The point of reflection is the bottom left one because when reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.

3 0
2 years ago
Please answer this question now in two minutes
fenix001 [56]

Answer:

Equation of a line is y = mx + c

where

m = slope

c = y intercept

y = 1/6x - 3

Comparing with the above formula

m = 1/6

Since the lines are parallel their slope are also the same

So the equation of the line using point (-4,2) is

y - 2 = 1/6( x + 4)

y - 2 = 1/6x + 2/3

y = 1/6x + 2/3 + 2

y = 1/6x + 8/3

Hope this helps

3 0
3 years ago
Find the common ratio of the following geometric sequence 5/12, 1/4 , 3/20,9/100,27/500
mixas84 [53]
All you have to is divide two consecutive terms to calculate the common ratio

1/4 divided by 5/12 = 1/4 * 12/5 = 12/20 = 3/5
7 0
4 years ago
Which fraction is represented by the red portion of the picture?
kogti [31]
B. 2/3

bcuz there are 3 slices and 2 of them are shaded
4 0
3 years ago
Four runners start at the same point: Lin, Elena, Diego, Andre. For each runner write a multiplication equation that describes t
Semenov [28]

Answer:

Lin =    8.2 m/s  x  25 s =<u> 205 m  </u> (<em>Finish Point)</em>

Elena =  V = 250 m / 28 s     <u>V = 8.93/s </u> (<em>Velocity</em>)

Diego = -8.1 m/s x 32 s =<u> -259.2 meters</u>  (<em>Finish Point</em>)

Andre =  V = -285 m /35 s     V= -8.14ms  (<em>Velocity</em>)

Step-by-step explanation:

I hope this helps!

3 0
2 years ago
Read 2 more answers
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