Simplify the following. -(3z)2
2 answers:
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Answer: Distance between the buses 24 minutes after the departure is given by
Step-by-step explanation:
Since we have given that
Speed of first bus = 54 mph
Speed of second bus is given by
Distance covered in 24 minutes by the first train is given by
Distance covered in 24 minutes by the second train is given by
Hence, Distance between the buses 24 minutes after the departure is given by
<h3>Answer:</h3>
y = 8/9x + 80/9
<h3>Step-by-step explanation:</h3><u>We are given;</u>
- Equation of a line as 8x -9y -2 = 0
- Coordinates (-1,8)
We are required to determine the equation of a line parallel to the given line and passing through a point (-1,8)
<h3>Step 1: Determine the Gradient of the given line </h3>- When an equation is written in the form y = mx + c, m is the gradient.
- Therefore; we could write the equation 8x -9y -2 = 0 in the form of y= mx + c
9y = 8x -2
y = 8/9x - 2/9
Therefore, the slope, m = 8/9
<h3>Step 2: Determine the equation of the line</h3>- We need to know that parallel lines have the same gradient
- Therefore, the slope of the line in question is 8/9
- It passes through a point (-1, 8)
We can therefore, determine the equation;
Taking another point, (x,y)
9(y-8) = 8(x+1)
9y - 72 = 8x + 8
9y = 8x + 8 +72
9y = 8x + 80
y = 8/9x + 80/9
Therefore, the equation of the line is y = 8/9x + 80/9