1.1
1 answer:
<h3>Answer: A) Parallel </h3>
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Explanation:
I've highlighted lines m and k in red (see diagram below). We'll ignore the other lines. On those red lines, I've added blue points with their coordinate locations.
Line m has point A = (-3, 5) and B = (-1, -3). Let's use the slope formula to find the slope through these points
m = (y2-y1)/(x2-x1)
m = (-3-5)/(-1-(-3))
m = (-3-5)/(-1+3)
m = -8/2
m = -4
The slope of line AB, aka line m, is -4.
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Line k has points C = (1, 5) and D = (3, -3) on it. We'll use the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-3-5)/(3-1)
m = -8/2
m = -4
The slope of line CD, aka line k, is -4
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Both lines m and k have the same slope of -4. Therefore, the two lines are parallel. Parallel lines always have the same slope, but different y intercepts. So these lines will never intersect one another.
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The degree of the sum and difference of the polynomials are 6 and 7 respectively.
given polynomials are:
the sum of polynomials =
the difference of polynomials =
A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.
degree of sum = monomial with highest power = 5+1=6
degree of difference = monomial with highest power = 3+4 = 7
therefore, the degree of the sum and difference of the polynomials are 6 and 7 respectively.
to get more about polynomials refer to: