Answer:
Distance: 8.5440037453175
Step-by-step explanation:
Distance: 8.5440037453175
Steps:
Distance (d) = √(-7 - -10)2 + (-1 - -9)2
= √(3)2 + (8)2
= √73
= 8.5440037453175
Slope and Angle:
ΔX = -7 – -10 = 3
ΔY = -1 – -9 = 8
Slope (m) =
ΔY
ΔX
=
8
3
= 2.6666666666667
θ =
arctan( ΔY )
ΔX
= 69.443954780417°
Equation of the line:
y = 2.6666666666667x + 17.666666666667
or
y =
8 x
3
+ 53
3
When x=0, y = 17.666666666667
When y=0, x = -6.625
Answer:
y = 2x - 81
Step-by-step explanation:
F is proportional to 1/x^2
distance = x
A reduction of 25 percent = 0.75x
Let’s put this in place of x
F = 1/(0.75x)^2
And simplify
F = 1/0.5625x^2
So you need to find the percentage increase from 1/x^2 to 1/0.5625x^2
So what does 1/x^2 multiply by to give 1/0.5625x^2
Written as an equation it is y/x^2 = 1/0.5625x^2
Multiply both sides by x^2
y = 1/0.5625
y = 1.778 (rounded to 3 decimal points)
So the decimal multiplier is 1.778 and so the percent increase is approximately 77.8%
(81m^6)^1/2 = (3^4*1/2) (m^6*1/2) = 3²m³
Answer:
True
Step-by-step explanation:
have a great day!
