Consider the equation 5y = 2x +4. select all the equations that are perpendicular to the given equation.

see the explanation

Step-by-step explanation:

we have

Solve for y

This is the equation of  the line in slope intercept form

The slope m of the given equation is

we know that

If two lines are perpendicular,, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

so

Find the slope of the line perpendicular to the given line

we have

substitute

therefore

All equations of the line having as slope will be perpendicular to the given line.

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere