Answer:

Step-by-step explanation:
we know that
A dilation is a non rigid transformation that produce similar figures
If two lines are similar, then the lines are parallel
Lines parallel have the same slope
so
we have
Line A

isolate the variable y
----> equation A
The slope of the line A is m=0.5
The y-intercept of the line A is b=4
Line B

isolate the variable y
----> equation B
The slope of the line B is m=0.5
The y-intercept of the line B is b=2
Remember that
The y-intercept of line A multiplied by the scale factor k must be equal to the y-intercept of line B
so

solve for k

Answer:
The cost of each pair of sneakers is $33.25.
Step-by-step explanation:
Consider the provided information.
Meryl spends a total $68.82 for 2 pairs of sneakers with the same cost.
If the sales tax is $5.32 and she also uses a coupon for $3.00 off her purchase.
First subtract the sales tax from the spend amount.

She use a coupon for $3.00 OFF.

$66.5 was the cost of 2 pairs of sneakers before using the coupon.
Now divide $66.5 by 2 so that we can find the cost of one pair of sneakers.

Hence, the cost of each pair of sneakers is $33.25.
Making the usual substitutions (x=r·cos(θ), y=r·sin(θ)), you have
(r·cos(θ))² +4r·cos(θ) +4 + (r·sin(θ))² -4r·sin(θ) +4 = 8
r(r +4·cos(θ) -4·sin(θ)) = 0
Dividing by r then subtracting the non-r terms gives
r = 4(sin(θ) -cos(θ))