Step-by-step explanation:
in essence, these 2 points are the Hypotenuse of a right-angled triangle. the legs are the coordinate differences between the 2 points creating the 3rd point of that triangle at (-10, 7) : the x coordinate of one point, and the y coordinate of the other.
now, we are looking for the midpoint. this midpoint cuts the original line/hypotenuse in half creating a scaling factor of 1/2.
when we create now a similar triangle based on that "half- Hypotenuse", we need to use the same scaling factor also on the legs (the coordinate differences).
so, when we cut the coordinate differences also in half, we get the coordinates for the midpoint on the main line.
xm, ym are the coordinates of the midpoint.
xm = (x1 + x2)/2 = (-10-3)/2 = -13/2 = -6.5
ym = (y1 + y2)/2 = (-6+7)/2 = 1/2 = 0.5
so, the midpoint is (-6.5, 0.5)
The slope is how much something increases or decreases by at a constant rate, for example if johnny buys 3 oranges every time he goes to the store the slope would be 3. the y-intercept is how many things you start with so if johnny already had 5 oranges before he went to the store the y-intercept would be 5. the equation for that situation would by y=3x+5... 3x is the 3 oranges johnny buys each time he goes to the store (the slope) and 5 is how many oranges he started with before going to the store at all (y-intercept)
Answer:
Hope it helps
Step-by-step explanation:
Electricians usually charge between $50 to $100 per hour. For the entire project, you'll spend an average of $323, or within a range between $160 and $508 or more. Both hourly and project rates vary depending on the type of project, license and experience of the service provider.
4x-10 and 7x-8 are supplementary angles and thus add up to 180 degrees.
Thus, 11x - 18 = 180 degrees.
Combining like terms, 11x = 198, and x = 18.
The two supplementary angles are 4(18)-10 and 7(18)-8, or 62 and 118 degrees.
It would be 40% because those percentages added up would be 90
