Answer: touches,crosses
Step-by-step explanation:
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, so let's use the ones provided in that
let's notice, is negative since the population decreased.
Answer: 32.8kgm^2/s
Step-by-step explanation:
1. Angular momentum is a product of linear momentum and the distance of the object from a rotation axis.
2. Linear momentum (L) is given as :
L = mv
Where: m= mass = 4kg
v= velocity= 2m/s
=> L = 8kgm/s
Angular momentum (A) = L x centre distance (d) of object from a rotation axis
d = √(0.9-0)^2 + (10-6)^2 = 4.1m
=> A = 8 x 4.1 = 32.8kgm^2/s.
Hint : The product of the slopes of two lines perpendicular to each other is - 1 .
______________________________
In slope-intercept ( y = ax + b ) from of the linear equations the coefficient of x is the slope of the line.
Thus :
Slope of line a = - 14
______________________________
Suppose that the slope of line b is x according to the Hint we have :
- 14 × x = - 1
negatives simplify
14x = 1
Divide both side by 14
14x ÷ 14 = 1 ÷ 14
x = 1/14
So the slope of line b is 1/14
_____________________________
Now let's find the equation of line b by point-slope formula using the point question have us ( 2 , 6 ) :
y - y( given point ) = Slope × ( x - x ( g p ) )
y - 6 = 1/14 × ( x - 2 )
y - 6 = 1/14 x - 2/14
y - 6 = 1/14 x - 1/7
Add both sides 6
y - 6 + 6 = 1/14 x - 1/7 + 6
y = 1/14 x - 1/7 + 42/7
y = 1/14 x + 41/7
And we're done ...
