Consider the line y = x . if the line is dilated by a factor of 1 3 , what is the equation of the resulting line? if the resulting line is translated 1 unit down, what is the equation of the resulting line

and

Step-by-step explanation:

When we dilate y = x by a factor of "a", we have the equation:

y = a*x

So, firstly, we need to dilate by a factor of 1/3, thus we would have:

Now, whenever we have a line y = x, per say, if we want to translate "b" units up, we would have:

y = x + b

if we want to translate "b" units down, we have"

y = x - b

Now, since we have  and we want to translate "1" unit down, we will thus have:

step-by-step explanation:

jbjuiuhuhuuy

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm