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1 answer:
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Answer:
(B) -8
Step-by-step explanation:
Given the 2-column table below:
Taking the pair (-3,14) and (-1,10)
Taking the pair (1,6) and (4,0)
Slope,
Since the slope is constant, the table represents a linear function whose slope is -2. Therefore:
Taking the pair (8,y) and (4,0)
Slope,
Therefore, the value of ? on the y-column is -8.
Answer:
Step-by-step explanation:
<u>slope-intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Let's rewrite the given equation into the slope-intercept form so we can find out its gradient.
3x +2y -6= 0
2y= -3x +6
<em>Dividing</em><em> </em><em>by</em><em> </em><em>2</em><em> </em><em>throughout</em><em>:</em>
Thus gradient of given line=
Parallel lines have the same gradient.
Thus gradient of line=
Subst. m= into the equation:
To find c, substitute a pair of coordinates.
When x=0, y=0,
Thus, the equation of the line is .
Answer:
the time is 1.57 sec and the distance is 49.32mm
Step-by-step explanation:
Given that,
The angle is 180°
Angular velocity is 2rev/sec
The radius is 10mm
we are to find the time and distance traveled at that time
The formula is
θ = at
where t is the time,
a is the angular velocity
θ is angle in radian
so,
θ = 180° × π/180°
θ = π
= 3.14
Hence ,
θ = at
3.14 = 2t
t = 1.57sec
let the distance be xmm
Therefore , the time is 1.57 sec and the distance is 49.32mm