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Alenkasestr [34]
3 years ago
13

Without graphing, is each system independent, dependent, or inconsistent? { -x-3y=0 x-y=4

Mathematics
2 answers:
Roman55 [17]3 years ago
6 0
First, determine if there is a solution to the equation by finding their intersection. If we are to rewrite the system of linear equations,
  
    -x -  3y = 0
    x - y = 4

The values of x and y from the equation are 3 and -1. The slopes of the equations, m, are also not the same as shown below,
   m = -A/B 

where A and B are the numerical coefficients of x and y, respectively. 
  m1 = -(-1/-3) = -1/3
  m2 = -(1/-4) = 1/4

Hence, the equations are <em>independent.</em> 
Kryger [21]3 years ago
5 0
Since we can find a solution for this system of equations we can affirm this is an independent system with solution equal to (x,y) = (3,-1)

* If we graph a dependent system in the slope - intercept form, we can see that the graphs of each one are identical to each (beacuse we are representing the same line).

*An inconsistent system occurs when the equations have the same slope, but different values of intersection with the Y axis.
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Step-by-step explanation:

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1 Spanish  90%

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Step-by-step explanation:

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3 years ago
I need help with this geometry question
MArishka [77]

Answer:

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Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

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From the graph, we can see that A is (0,0). Let's let this be x₁ and y₁.

B is (-5,6). Let's let this be x₂ and y₂. So, substitute:

d=\sqrt{(-5-0)^2+(6-0)^2}

Simplify:

d=\sqrt{(-5)^2+(6)^2}

Square:

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Add:

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Take the square root. Use a calculator:

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