Determine the number of possible triangles, ABC, that can be formed given A = 150°, a = 7, and b = 4.

1 answer:

8 0

1.

When you have the length of two sides and the angle between them, the triangle is totally determined. This is, there is only one segment that can complete the triangle: its length and position is totally fixed.

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A student solved a quadratic equation as shown here:

djverab [1.8K]

Answer:

x = 3/2 or x = -4

Step-by-step explanation:

The identifiable error the students have is that before the left hand side of the equation is factorized, the right hand side value of 12 ought to be brought to the left hand side, leaving a net value of zero on the right hand side. Then whatever is factored on the left hand side is then equated to zero and then we can find the two values of x after setting each of the individual factors to zero

We proceed as follows;

$2x^{2} + 5x = 12\\2x^{2} + 5x - 12 = 0\\2x^{2} + 8x -3x -12 = 0\\2x(x+4) -3(x+4) = 0\\(2x-3)(x+4) = 0\\2x-3 = 0 or x+4 =0\\2x=3 or x=-4\\x = 3/2 or x= -4\\x = 1.5 or- 4$