Step-by-step explanation:
the slope of a line is always the factor of x.
here : 1/2
it is the ratio y/x indicating how many units y changes, when x changes a certain angina amount of units when going from one point to another.
a perpendicular slope puts x and y upside-down and flips the sign.
here : -2/1 = -2
so, the equation looks like
y = -2x + b
b is the y-intercept, and we get this by putting the x and y coordinates of the given point into this equation and solve for b :
-1 = -2×-2 + b
-1 = 4 + b
b = -5
the full equation is therefore
y = -2x - 5
Y= 3X + 1. Perpendicular means you would change the slope by flipping it and changing the sign. So the slope then becomes 3. Then you use your points to find the y-intercept by filling in the variables. 7=3(2) + B. 7=6 + B. Then subtract 6 from both sides. B=1. Then you just put your problem back into slope intercept form with your new slope and y-intercept. Y=3x + 1.
750 because of u didivide one fourth by 3,000 you will get 750
5003\4 as a mixed number=125 3\4
divide 4 by 5003 using long division
answer=125 3\4
1.) A = πr^2
Rate of change (dA/dr) = 2πr.
When r = 3, dA/dr = 2(3)π = 6π ft^2/ft
2.) V = πr^2h
Rate of change of volume given constant r is dV/dt = πr^2dh/dt = π(6)^2(3) = 108π cm^3/min
