Tell whether the lines y=-4x+3 and -2x+8y=5 are parallel, perpendicular, or neither.

The lines are perpendicular to each other.

Step-by-step explanation:

Given equations of lines:

1.

2.

Writing equation both equations in slope-intercept form which is

where represents slope and represents y-intercept.

1.

This is already in slope-intercept form.

The slope of the line

2.

Adding both sides.

Dividing both sides by 8.

Splitting denominators.

Simplifying fraction.

So, for the line the slope is.

A) Checking for parallel.

For parallel lines the slopes of the line are equal.

Since

So, lines are not parallel.

B) Checking for perpendicular.

For perpendicular line the slopes of the line are related as:

Finding the product of the slopes to check weather it equals -1.

⇒

The condition for perpendicular lines is satisfied as the product of the slopes =-1

Hence, the lines are perpendicular to each other.

8

step-by-step explanation:

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ  

where s = arc length  

r = radius = 3 inches  

θ = central angle in radians = ( π /180)*165  

s = 3(π/180)*165  

= 8.64 inches