Answer:
A is 360
Step-by-step explanation:
Answer:
220
Step-by-step explanation:
2b^3+c-d
2(3)^3+7-3
6^3+7-3
216+7-3
223-3
220
It is convenient to do part b first, then use that result to do part a.
b. For some pair of points (x1, y1) and (x2, y2), you want to find a point (a, b) such that (a, b) - (x1, y1) = (x2, y2) - (a, b). That is, the differences of coordinates from one end to the center are the same as the differences from the center to the other end.
Adding (a, b) to the above equation gives
2(a, b) - (x1, y1) = (x2, y2)
Adding (x1, y1) then gives
2(a, b) = (x1, y1) + (x2, y2)
Finally, dividing by 2 gives a formula for (a, b):
(a, b) = ((x1, y1) + (x2, y2))/2
The midpoint is the average of the end points.
a. Using the result from part b, the midpoint is
midpoint = ((2, 3) + (6, 7))/2 = (8, 10)/2
midpoint = (4, 5)
Answer:
x = 3/4
Step-by-step explanation:
It usually works well to collect terms first. (Add the coefficients of x.)
-4x +x = -9/4
(-4+1)x = -9/4
-3x = -9/4 . . . . . . equation with terms collected
Now, you can divide by the coefficient of x. Here, it can be useful to consider this to be the same as multiplying by the inverse of that coefficient, which inverse is -1/3.
(-1/3)(-3x) = (-1/3)(-9/4) . . . . . multiply both sides by -1/3
x = 3/4 . . . . . simplify
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