6th grade math i mark as brainliest
1 answer:
You might be interested in
Answer:
The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7
Step-by-step explanation:
The slope-intercept form of an equation is given by:
here m is the slope of the line and b is the y-intercept
Given
Putting m=2 in the general form
In order to find the y-intercept, the given point (-3,1) will be substituted in the equation
So
Putting the value of b
Hence,
The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7
Answer:
The water level is rising at a rate of approximately 0.1415 meters per minute.
Step-by-step explanation:
Water is flowing into a right cylindrical-shaped swimming pool at a rate of 4 cubic meters per minute. The radius of the base is 3 meters.
And we want to determine the rate at which the water level of the pool is rising.
Recall that the volume of a cylinder is given by:
Since the radius is a constant 3 meters:
Water is flowing at a rate of 4 cubic meters per minute. In other words, dV/dt = 4 m³ / min.
Take the derivative of both sides with respect to <em>t: </em>
<em /><em />
Implicitly differentiate:
The rate at which the water level is rising is represented by dh/dt. Substitute and solve:
Therefore:
In conclusion, the water level is rising at a rate of approximately 0.1415 meters per minute.