Answer:
The answer is option (b), y=-5/2x+4
Step-by-step explanation:
The slope intercept form is a way of expressing the equation of a straight line; where there are two variables that vary in a linear form. The equation is always of the form; y=mx+c
Where;
- y and x represents the variables on the y and x axis respectively
- m is a real number representing the slope
- c is also a real number representing the y-co-ordinate, where the line intercepts the y-axis
Solving for y in 10x+4y=16
(4y)/4=(-10x)/4+(16/4)
The answer is y=-5/2x+4, option (b)
Answer:
Step-by-step explanation:
We are given the following in the question:
Let l be Lyle's height, h be Harry's height and v be Vince's height.
Thus, we can write:
Lyle's Height =
Harry's height =
Putting the value in the equation:
Thus, Vince's height is 3.5 feet.
Answer:
the rate of change in volume is dV/dt = 4π mm³/s = 12.56 mm³/s
Step-by-step explanation:
since the volume V of a cylinder is related with the height H and the radius R through:
V = πR²*H
then the change in time is given by the derivative with respect to time t
dV/dt = (∂V/∂R)*(dR/dt) + (∂V/∂H)*(dH/dt)
the change in volume with radius at constant height is
(∂V/∂R) = 2*πR*H
the change in volume with height at constant radius is
(∂V/∂H) = πR²
then
dV/dt = 2π*R*H *(dR/dt) + πR²*(dH/dt)
replacing values
dV/dt = 2π* 2 mm * 20 mm * (-0.1 mm/s) + π (2 mm) ²* 3 mm/s = 4π mm³/s
dV/dt = 4π mm³/s = 12.56 mm³/s
Answer:
The answers to this question are 1,2,4,6. Hope this helps you
Step-by-step explanation:
