The lines given by the equations 3y + 2x = 7 and y = mx − 11 are perpendicular. Find m

Step-by-step explanation:

When two lines are perpendicular, their slopes will be opposite reciprocals:

→

→

Solve the first equation for y to rewrite in slope-intercept form:

m is the slope, so the slope of this line is . The opposite reciprocal is , therefore, m is

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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