Write an equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5).
a) y = -2x + 15
b) y = 2x - 15
c) y = -2x - 5
d) y = - 1/2x
me : )

Option A) y = -2x + 15

Step-by-step explanation:

step 1

Find the slope of the line perpendicular to the given line

we know that

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

The equation of the given line is

so

The slope of the given line is  

therefore

The slope of the line perpendicular to the given line is

step 2

Find the equation of the perpendicular line in point slope form

we have

substitute

---> equation in point slope form

Convert to slope intercept form

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

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (