The original expression is given by:
The correct way to rewrite the expression is given by:
For this, we use two properties:
Associative property:
The way of grouping the factors does not change the result of the multiplication:
Commutative property:
The order of the factors does not vary the product:
It is a straight line of positive gradient that passes through the origin
Given:
3kg book
speed of falling of 4.0 m/s
acceleration due to gravity -9.8 m/s²
Vf² = Vi² + 2 * a * d
Vf = final velocity ; Vi = initial velocity ; a = acceleration ; d = distance
0² = (4 m/s)² + 2(-9.8m/s²) * d
0 = 16 m²/s² -19.6 m/s² * d
-16 m²/s² = -19.6 m/s² * d
-16 m²/s² / -19.6 m/s² = d
0.82 m = distance
The 3 kg book fell from the a shelf at the height of 0.82 meters.
The correct statement are the first and the second
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The first statement:
y = (-2/3) x - (13/3)
slope = -2/3 and passing through (4,-7) because (-2/3) *4 - (13/3) = -7
the slope of the parallel line = -4/6 = -2/3
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The second statement
y = (-7/2) x - (5/2)
slope = -7/2 and passing through (-3,8) because (-7/2) *-3 - (5/2) = 8
the slope of the perpendicular line = 2/7
the multiplication of the two slopes = -7/2 * 2/7 = -1
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The third is false
because the lines are parallel not perpendicular
the fourth is false
because the lines are perpendicular not parallel
If i were you i would divide 297 by 3 , which is 99.