I think it would be 4.
8 breaks down to 4(2) and 12 breaks down to 4(3). Let me know if that helps!
9x^3 - 8x^2 is the answer. to solve this you must distribute the sign across each parenthetical and then add the like terms (all cubed x variables added to cubed variables and all squared x variables added to squared variable)
The vertices coordinates following a reflection along the y-axis are S(-6,6), T(2,6), U(2,0), V(-6,0).
<h3>What is reflection?</h3>
A reflection point is created when a figure is constructed around a single point known as the point of reflection or the figure's centre. There is an exact opposite point on the other side of each point in the figure. Under the point of reflection, the figure's size and shape are unaltered.
Given points are p ( 8,-2 ) Q(8,5) R( 4,-2 )
The reflection of the points
P (8,-2) = P (-8, 2)
Q (8,5) = Q (-8, -5)
R (4,-2) = R (-4, 2)
Therefore, the coordinates of the vertices after a reflection across the Y-axis are P (-8, 2) Q (-2, 6) R (-2, 0)
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The correct answer is option D.
<h3>What is Straight Line?</h3>
A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.
When two equations have same slope and their y-intercept is also the same, they are representing the line. In this case one equation is obtained by multiplying the other equation by some constant.
If we plot the graph of such equations they will be lie on each other as they are representing the same line. So each point on that line will satisfy both the given equations so we can say that such equations have infinite number of solutions.
Consider an example:
Equation 1: 2x + y = 4
Equation 2: 4x + 2y = 8
If you observe the two equation, you will see that second equation is obtained by multiplying first equation by 2. If we write them in slope intercept form, we'll have the same result for both as shown below:
Slope intercept form of Equation 1: y = -2x + 4
Slope intercept form of Equation 2: 2y = -4x + 8 , ⇒ y = -2x + 4
Both Equations have same slope and same y-intercept. Any point which satisfy Equation 1 will also satisfy Equation 2. So we can conclude that two linear equations with same slope and same y-intercept will have an infinite number of solutions.
Thus, the correct answer is option D.
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