If "a" and "b" are two values of x-coordinate, and "m" is the midpoint between them, it means the distance from one end to the midpoint is the same as the distance from the midpoint to the other end
... a-m = m-b
When we add m+b to this equation, we get
... a+b = 2m
Solving for m gives
... m = (a+b)/2
This applies to y-coordinates as well. So ...
... The midpoint between (x1, y1) and (x2, y2) is ((x1+x2)/2, (y1+y2)/2)
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Jennifer had (x1, y1) = (-4, 10) and (x2, y2) = (-2, 6). So her calculation would be
... midpoint = ((-4-2)/2, (10+6)/2) = (-6/2, 16/2) = (-3, 8)
Brandon had (x1, y1) = (9, -4) and (x2, y2) = (-12, 8). So his calculation would be
... midpoint = ((9-12)/2, (-4+8)/2) = (-3/2, 4/2) = (-1.5, 2)
Answer:
30
Step-by-step explanation:
9x30= 270
270/9= 30
Answer:
m = -13/10
Step-by-step explanation:
Madison, imagine that you're moving from (-6, 6) to (4, -7) with interest in knowing how much x (the run) and y (the rise) change.
In the first instance, x increases by 10 from -6 and +4. Simultaneously, y decreases by 13 from 6 to -7.
Thus the slope is m = rise / run = m = -13/10
Three quarters is $0.75 three nickels is $0.15 and three pennies is $0.03 add those together and you get $0.93
Answer:
Simplifying
12x + 2y = 18
Solving
12x + 2y = 18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
12x + 2y + -2y = 18 + -2y
Combine like terms: 2y + -2y = 0
12x + 0 = 18 + -2y
12x = 18 + -2y
Divide each side by '12'.
x = 1.5 + -0.1666666667y
Simplifying
x = 1.5 + -0.1666666667y
