Use slopes to determine if the lines y=−4 and x=−1 are perpendicular.

The lines y=−4 and x=−1 are perpendicular.

Step-by-step explanation:

Given the lines

y=−4

x=−1

The equation y = -4 indicates that the line is horizontal because the value of y remains constant no matter what the value of x is. We also know that the slope of a horizontal line is zero.

In other words, there is no change in y-value i.e. (y₂-y₁) = 0.

Thus, the slope of the horizontal line y = -4 is zero.

Therefore, the slope of y = -4 is: m₁ = 0

The equation x = -1 indicates that the line is vertical because the value of x remains constant no matter what the value of y is. We also know that the slope of a vertical line is undefined or ∞.

In other words, there is no change in x-value i.e. (x₂-x₁) = 0.

Thus, the slope of the vertical line x = -1 is zero.

Therefore, the slope of x = -1 is: m₂ = ∞.

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

As the slope of line y = -4 is: m₁ = 0

Thus, the slope of the the new perpendicular line = m₂ = – 1/m = -1/0 = ∞

Therefore, the lines y=−4 and x=−1 are perpendicular.

ALSO:

From the attached graph, it is clear that:

It is clear that both lines are perpendicular as they are meeting at a right angle.

Therefore, the lines y=−4 and x=−1 are perpendicular.

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

that is the sum

step-by-step explanation:

there are no other answers without knowing the variables values