What is the equation of the line with (1,0) and (6,6)?
1 answer:
Answer:
6x -5y = 6
Step-by-step explanation:
You can use the 2-point form of the equation of a line to find it.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (6-0)/(6-1)(x -1) +0
y = 6/5(x -1) . . . . . . point-slope form
y = (6/5)x -6/5 . . . . slope-intercept form
5y = 6x -6
6x -5y = 6 . . . . . . . standard form
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Answer:
The piano was in the air for 18.34 seconds.
Step-by-step explanation:
The height of the piano after t seconds is given by the following equation:
Initially, the piano is below the ground level. At the first root of the equation, it will go into the air, and then some time after that it will fall down again, which is at the second root of the equation.
Roots of a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that
, given by the following formulas:
In this question:
So
Subtracting:
19.17 - 0.8348 = 18.34
The piano was in the air for 18.34 seconds.