3/4(8p+12)+3/8(16p-8)
=3/4[(8p+12)+1/2(16p-8)]
=3/4[8p+12+8p-4]
=3/4[16p+8]
=3/4*8*[2p+1]
=6[2p+1]
=12p+6
Quotient is the answer of the division
0.4/0.01 = 40 x 10 = 4/0.1 = 40 x 10 = 40/1 = 40
Answer:
y = (1/3)x + 7
Step-by-step explanation:
The general structure form of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
The slope of a perpendicular line is the opposite-signed, reciprocal of the original line's slope. Therefore, if the slope of the original line is m = -3, the new slope is m = 1/3.
The y-intercept can be found by plugging the new slope and the values from the point (-3, 6) into the slope-intercept form equation.
m = 1/3
x = -3
y = 6
y = mx + b <----- Slope-intercept form
6 = (-3)(1/3) + b <----- Insert values
6 = -1 + b <----- Multiply -3 and 1/3
7 = b <----- Add 1 to both sides
Now, that you have the slope and y-intercept, you can construct the equation of the perpendicular line.
y = (1/3)x + 7
Answer:
:P
Step-by-step explanation:
Answer:
See below for answers and explanations
Step-by-step explanation:
1) Substitute d=100 into the equation and solve for s:
s=sqrt(9.81d)
s=sqrt(9.81(100))
s=sqrt(981)
s≈31.32
Therefore, the speed of the wave will be about 31.3 m/s
2) Substitute d=1000 into the equation and solve for s:
s=sqrt(9.81d)
s=sqrt(9.81(1000))
s=sqrt(9810)
s≈99.05
Therefore, the speed of the wave will be about 99 m/s
