Answer:
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Step-by-step explanation:
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The solution of the given system of equation is x = -3 and y = 4 respectively.
<h3>What is a system of linear equations?</h3>
A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
The given system of equations is as,
y = 4x + 16 (1)
y = −2x − 2 (2)
In order to solve them, substitute equation (2) into (1) as follows,
4x + 16 = −2x − 2
=> 4x + 2x = -2 - 16
=> 6x = -18
=> x = -3
Then, y = -2 × -3 - 2 = 4
Hence, the solution of the given system of equation is x = -3 and y = 4.
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Answer:
angle Y = 90 degrees
Step-by-step explanation:
Since it is stated that angle x forms a straight line with the 50 and 50 degree angles, and that angle x is vertical to angle y, we can do 40+50+y=180 to find angle Y.
Answer: area of the outer part of the rug= 16 -x²
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a square: Side²
Since the area of the rug including the inner square is:
Area of the rug = 4² =16 in²
And the area of the inner square is equal to:
Area if the inner square = x²
To obtain the area of the outer part of the rug we have to subtract the area of the inner square to the area of the rug.
Area of the outer part of the rug= 16 -x²
Feel free to ask for more if needed or if you did not understand something.
