find the coordinates of the vertices of the triangle after a reflection across the parallel lines; first across the line x= -2 a
nd then across the y-axis
1 answer:
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If we let x and y represent length and width, respectively, then we can write equations according to the problem statement.
.. x = y +2
.. xy = 3(2(x +y)) -1
This can be solved a variety of ways. I find a graphing calculator provides an easy solution: (x, y) = (13, 11).
The length of the rectangle is 13 inches.
The width of the rectangle is 11 inches.
______
Just so you're aware, the problem statement is nonsensical. You cannot compare perimeter (inches) to area (square inches). You can compare their numerical values, but the units are different, so there is no direct comparison.
.. x = y +2
.. xy = 3(2(x +y)) -1
This can be solved a variety of ways. I find a graphing calculator provides an easy solution: (x, y) = (13, 11).
The length of the rectangle is 13 inches.
The width of the rectangle is 11 inches.
______
Just so you're aware, the problem statement is nonsensical. You cannot compare perimeter (inches) to area (square inches). You can compare their numerical values, but the units are different, so there is no direct comparison.
Option C
<u> Answer: </u>
The equation in slope intercept form is
The slope is and y-intercept is
<u>Solution: </u>
The slope - intercept form equation of line is given as
y = mx + c ---- eqn(1)
Where m is the slope of the line. The coefficient of “x” is the value of slope of the line.
c is the y – intercept which is the value of y at the point where the line crosses the y-axis
From question, given that -5x - 12y = 11 --- eqn (2)
On converting equation (2) in slope – intercept form, that is adding 5x on both sides,
-5x - 12y + 5x = 5x + 11
-12y = 5x + 11
Now on dividing -12 on both sides,
---- eqn (3)
Comparing the given equation (3) with equation (1), we get
and
Hence Option C is correct.