Tutor profile: Alyssa E.
If M is the midpoint of XY, and XM = 2x + 8 and MY = x + 13, find the value of x.
Since M is the midpoint, the segment is cut into two equal segments. Thus, XM = MY. So, 2x + 8 = x + 13. Solving the equation for x gives us that x = 5!
Evaluate the expression y + 3x - 2xy given x = 2 and y = 5
To start, we will plug in the given values for x and y as follows: (5) + 3(2) - 2(2)(5). Then, following the order of operations, begin with multiplication: (5) + 6 - 20. Then add and subtract from left to right: 11 - 20 = -9!
Write the equation of the line perpendicular to y = -2x+5 that goes through the point (2,5).
To start, you will need to find the slope of the desired line. Since it is perpendicular to the given equation, it must have a negative reciprocal slope. Thus, the slope is 1/2. Then, plugging into the point slope equation, we have y - 5 = 1/2(x-2). Solving for y gives us y = 1/2x + 4!
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