the area of a rectangle is 20 square feet. if a scale factor of 3 is applied to the rectangle to form a new rectangle, what will
2 answers:
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Answer:
x=-1/85; y=-283/85; z=2/17
Step-by-step explanation:
Using an algebraic method like elimination or substitution would take a lot of steps which could lead to mistake the calculations. In this case, I decided to use the Gaussian elimination. We can express the system in matrix form as follows:
To begin the calculations, we write the system in augmented matrix form and use the Gaussian elimination:
By applying the Gaussian elimination, the final matrix is the following:
In order to verify the results, it´s enough to substitute the calculated values in the original equations to see if the equalities are correct. Here you can see the verification for all of the equations:
Answer:
Step-by-step explanation:
<h3>Equation of the blue line:</h3>since the line is horizontal and passes <u>-</u><u>2</u> the equation of the blue line should be
remember The form of equation of a line
where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3
to figure out m we can consider the following formula:
from the graph we acquire ∆y=1 and ∆x=2
thus substitute:
so we have figured out m and b
therefore our equation of blue line is
our given options are in standard form so
move -3 to left hand side and change its sign:
cross multiplication:
move 6 to right hand side and x to left hand side and change its sign
multiply both sides by -1:
hence, our system of linear equation is