6. What are the mean and the mode of the following set of data: 5, 12, 1, 5, 7
2 answers:
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Answer:
y = - x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x +
← is in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
Using the point- slope form
with m = - and (x₁, y₁ ) = (- 2, 4) , then
y - 4 = - (x - (- 2) ) , that is
y - 4 = - (x + 2) ← distribute
y - 4 = - x - 3 ( add 4 to both sides )
y = - x + 1 ← in slope- intercept form
Answer:
The distance paddling out on a lake is 2 kilometres and the distance returning back is also 2 kilometres. In total, 4 kilometres.
Step-by-step explanation:
Let t hours be the time it takes Roger to puddle out on a lake. Then hours is the time it takes him to return (note that 1 hour and 30 minutes is exactly
hours).
1. If he paddles out on a lake at 4 kph for t minutes, then the distance is
2. If he returns at 2 kph, then the distance is
3. These distances are the same, thus
The distance paddling out on a lake is 2 kilometres and the distance returning back is also 2 kilometres. In total, 4 kilometres.