Set up equations:
(1) speedbus = speedbike+4
(2) speedbus/speedbike = 180/156
plug (2) into (1)
speedbike * 180/156 = speedbike + 4
(solve for speedbike)
speedbike = 4 / (180/156-1) = 26 mph
--> speedbus = 26+4 = 30mph
y = 2x + 5
y = 3x + 11
Answer:
x = -6
Step-by-step explanation:
2x + 5 = 3x + 11
-x + 5 = 11
-x = 6
x = -6
The slope of the line through the points (17,-6),(-11,7) is calculated using the formula 'm = (y2 - y1) / (x2 - x1)'. Substituting these values into the formula yields a slope of -13/28.
In mathematics, the slope of a line through two distinct points can be calculated using the formula 'm = (y2 - y1) / (x2 - x1)'. This formula represents the change in y (vertical axis) divided by the change in x (horizontal axis).
Given the two points (17,-6) and (-11,7), we can substitute these values into the slope formula:
m = (7 - (-6)) / ((-11) - 17) = 13 / -28 = -13/28.
Therefore, the slope of the line through the points (17,-6),(-11,7) is -13/28.
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