Without graphing, is the system independent, dependent, or inconsistent y=2x-8 2x-y=8
2 answers:
An independent system has different slopes hence has a unique solution.
If two lines have the same slope then, they are inconsistent. The reason is that the two lines could have NO SOLUTION or INFINITELY MANY SOLUTION.
An inconsistent system that have infinitely many solution is said to be dependent.
Now let us make the subject in both equations, to obtain,
For the seccond equation, we have
Wow, the two systems have the same slope and intercept. This means the system has infinitely many solution, hence it is dependent.
<h2>The two systems are dependent</h2>
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Before dilation:
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12
After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3
The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25
Answer: The scale factor is 0.25
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12
After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3
The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25
Answer: The scale factor is 0.25
let's bear in mind that sin(θ) in this case is positive, that happens only in the I and II Quadrants, where the cosine/adjacent are positive and negative respectively.