Question

Circle 1: center (-9, -5) and radius 6

Circle 2: center (-7, -7) and radius 15

The dilation from Circle 1 to Circle 2 has a scale factor of _____.

Express the scale factor as a fraction in simplest form.

Question 1 options:

156

52

97

25

Answer 1

@dude

Answer 2

@Vocaloid

Answer 3

the centers aren't really important here, just the radii

the scale factor between the radii is just radius of circle 2 / radius of circle 1 so just 15/6, then reduce that to simplest form

Answer 4

Afraid I don't follow

Answer 5

the radius of circle 2 is 15
the radius of circle 1 is 6

the scale factor for going from circle 1 to circle 2 is 15/6

the question asks for the fraction in simplest form so you must identify common factors between 15 and 6 to reduce the fraction further

Answer 6

So 15/6 is the answer?

Answer 7

Wait a second, dumb question

Answer 8

5/2, thats the lowest

Answer 9

"Express the scale factor as a fraction in simplest form."

15 = 3*5
6 = 3*2

so yes, 5/2 is your sol'n

Answer 10

Okay, thanks, can you help me with 2 more please? If not thats okay

Answer 11

sure go ahead

Answer 12

Okay thanks one second

Answer 13

Two secant segments intersect outside a circle as shown.

What is the value of x?

Question 1 options:

17.5


19.5


15


28

Answer 14

http://prntscr.com/j7z5mx

Answer 15

alright, so putting our two circles side by side

(10+3)(3) = (x+2)(2)

then solve for x

Answer 16

M+x*x?

Answer 17

x=35/2?

Answer 18

so using this logic

(A+B)(B) = (C+D)(D) becomes
(10+3)(3) = (x+2)(2)

Answer 19

yes, x = 35/2 = 17.5 = your sol'n

Answer 20

Cool. Okay last one coming up

Answer 21

What is tan A ?

(as a fraction in simplest form)

Question 1 options:

1012

1210

56

65

Answer 22

http://prntscr.com/j7zacf

Answer 23

so tan(A) = opp/adj = 12/10 then reduce this to simplest form (12/10 is not fully reduced so it is not your sol'n)

Answer 24

So what do I do next?

Answer 25

identify common factors between 12 and 10 and cancel them out

Answer 26

6/5?

Answer 27

yes, so 6/5 = your sol'n

Answer 28

Thank you so much. You've been a great help to me many times. I wish I could repay you with more than just my thanks