A curve has equation y = 4x2 + 13x + 12 A line has equation
y = x + 3
Show that the curve and the line have exactly one point of intersection.
Write down the coordinates of this point of intersection in the form (... , ...)
Do not use a graphical method.
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Write numerical coefficient of y² in the expression 2x² - 15xy – 7y²

Thanh and her crew are building a stage in the shape of a trapezoid for an upcoming festival. the lengths of the parallel sides of the trapezoid are 14 ft and 24 ft. the height of the trapezoid is 12 ft.what is the area of the stage? enter your answer in the box. ft²

Line segment eg is partitioned by point f in the ratio 1: 1. point e is at e (0, 4), and point f is at (1, 3). what are the coordinates of point g? (−1, 5) (2, 2) (3, 1) (4, 0)