X=2/3y because you want to know what roberts time is
Divide 1.28 by 2 answer .64 notepads divide by 3. u get .29 each so add .29 twice. u get .58 add 1.59 twice. u get 3.18. pens 1.98. add .64 + .58 + 3.18 + 1.98= 6.38 so answer is A
So,
1. Tawni swam a 50-m Freestyle in 40.8 secs.
2. Pepita swam a 100-m Butterfly in 60.2 secs.
3. Susana swam a 200-m Medley in 112.4 secs.
Manipulate the distances so that they are the same.
Tawni would swim a 200-m in 163.2 secs.
Pepita would swim a 200-m in 120.4 secs.
Susana woulld swim a 200-m in 112.4 secs.
Susana swam the fastest.
Here are your examples
A spring that is bouncing up and down.
An atom or molecule that resonates with a certain frequency.
In fact, anything that resonates: a violin string, a pendulum, the air column in a muffler,.....
Points (1, 7) and (-3, 2)
Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)
The slope for the line joining the two points = (2 - 7) / (-3 - 1) = -5/-4
Slope = 5/4
Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5
By condition of perpendicularity
For points (1, 7) and (-3, 2),
Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)
Midpoint for (1, 7) and (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)
= (-1, 9/2)
Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)
Equation y - y₁ = m (x - x₁)
y - 9/2 = (-4/5) (x - -1)
y - 9/2 = (-4/5)(x + 1)
5(y - 9/2) = -4(x + 1)
5y - 45/2 = -4x - 4
5y = -4x - 4 + 45/2
5y + 4x = 45/2 - 4
5y + 4x = 22 1/2 - 4 = 18 1/2
5y + 4x = 37/2
10y + 8x = 37
The equation of the line to perpendicular bisector is 10y + 8x = 37
