Consider the quadratic equation 4x2 – 11x – 3 = 0. Which of the following shows this equation is rewritten and ready to solve using factoring by grouping? Question 1 options:

A)

4x2 – 9x – 2x – 3 = 0

B)

4x2 – 12x + x – 3 = 0

C)

4x2 + 12x – x – 3 = 0

D)

4x2 – 6x – 5x – 3 = 0

Step-by-step explanation:

We know that JKLM is a parallelogram, which means that its opposite sides are parallels, such that: JK // ML and JM // KL.

So, we know that the angle MLJ equals 25°, and JK // ML, from this we can say that angles LJK and MLJ are equal, because they are ''internal alternate angles'', since that they are inside the parallels.

So, angle LJK is 25, and JKL is a triangle, which has the angle at K vertex equal to 130°. We know that internal angles in a triangle must sum 180°.

Since that, two angles, in the triangle JKL, measure 130° + 25° = 155°; we can deduct that the angle on L vertex is 25°, because that way all three angles will result in 180°.