Mat 221 Blogspot Week Assignment Pythagorean

For this discussion, we are supposed to find the equation of the line that are parallel or perpendicular to the given lines and which passes through the specific point.My assigned number is 19The equation that I will be using is y=-3x-6 and the parallel line must pass through point (-3, 2).The slopeof the given line is -3. So, the slope of the parallel line will also be -3. Now I know the slopeof the new line and I know that the line passes through (-3, 2). I will be using the point-slopeform of a linear equation to write my new equation. y – y1 = m(x – x1) This is the general form of the point-slopeequation y – (2) = -3[x – (-3)]Here I substituted my known slopeand ordered pairy + 2 = -3x+(-3)3 Simplifying double negatives and distributing the slopey = -3x-9-2-3 times 3=-9 and 2 is subtracted from both sidesy = -3x-11Equation of my parallel lineThis line falls from left to right across the graph and the

2 2a(a – 5) + 4(a – 5) 2a(a – 5) + 4(a – 5) Given 2a(a) – 2a(5) + 4(a) + 4(5) Left Distributive Property of Addition Over Multiplication 2(aa) – 2a(5) + 4(a) + 4(5) Associative Property of Multiplication 2(aa) – 2(5)a + 4(a) + 4(5) Commutative Property of Multiplication 2(aa) – (2*5)a + 4(a) + 4(5) Associative Property of Multiplication 2a 2 – 10a + 4a + 20 Multiplication Property 2a 2 – 6a + 20 Subtraction Property On the left side is the step-by-step of the mathematical reasoning for 2a(a – 5) + 4(a – 5) to be simplified as 2a 2 – 6a + 20. On the right side is the step-by-step logical reasoning. The middle part is combined because the terms are like while the extreme terms are unlike each of the other three terms. The parentheses are used to show associative property and then removed via multiplication and subtraction. The numerical

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