Question

i have *screenshots * its only two and i really need help with theses two questions :(

Answer 1

For the circle, it looks as though the radius is 3 and the center is at (3, -2)

Answer 2

So, you have (x - h)^2 + (y - k)^2 = r^2 and for your circle h=3 and k = -2 and r = 3

Answer 3

So if you put those values into that general formula, what would the equation of your circle look like?

Answer 4

um i don't know im to tired but i have to finish my work by tomorrow because you know last day of school but i don't know what it would look like

Answer 5

If you just plug the values in you get: (x - 3)^2 + (y -(-2))^2 = 3^2 OR

(x-3)^2 + (y+2)^2 = 9

Answer 6

oh okay but isn't that what you had just wrote above ?a

Answer 7

Yes, I just plugged the coordinates of the center and the value of the radius into the formula. Sorry if I did it twice. I'm kind of tired myself! :)

Answer 8

lol now i know why you did it twice

Answer 9

And for the other problem they tell you the center is at (-4,-3), so you know that on one side of your equation you will have (x + 4)^2 + (y + 3)^2 . Then we can find the distance between the center, (-4,-3), and the point on the circle, (6,2), and that will give us the radius.

Answer 10

so .. i didn't even know we had to find the radius im going to look at the question again

Answer 11

\[\sqrt{(6-(-4))^2 + (2-(-3))^2 }= \sqrt{10^2 + 5^2 } = \sqrt{125} \]

Answer 12

So, the radius is the square root of 125; so then r^2 = 125.

And so the equation of that circle is: (x+4)^2 + (y+3)^2 = 125

Answer 13

Or I see they left it written like this: (x-(-4))^2 + (y-(-3))^2 = 125

Answer 14

w so you want me to find the sqrt of 125

Answer 15

So that last one would be the correct choice

Answer 16

Oh, no, you don't need to find the square root of 125. :)

Answer 17

oh

Answer 18

125 is the radius squared, and it is the right hand side of the equation of the circle in standard form.

Answer 19

oh okay

Answer 20

All I was saying was that the distance between the two points they gave you was\[\sqrt{125}\], so then r^2 = 125

Answer 21

I hope that helped!

Answer 22

but i thought you said oh nevermindi just reread what you wrote but yes it did help and thank you for your help

Answer 23

You are welcome :) Any more work?

Answer 24

actually yes .. :(

Answer 25

Math?

Answer 26

geometry

Answer 27

How many questions do you have?

Answer 28

1

Answer 29

Oh! I can help with one more, if that will make the evening better!

Answer 30

lol ok

Answer 31

So let's see, the volume of the large cube is 5832 cubic meters and the volume of the small one is 343 cubic meters. So, volume of a cube would be found by cubing one side, correct?

Answer 32

yes ?

Answer 33

Yes :) So, to find the length of a side of the large cube, you would take the cube root of 5832. To do that on the calculator: 5832^(1/3) should give you the length of the side of the large cube.

Answer 34

Please let me know what you get for the length of the side of the large cube.

Answer 35

i got 1944 but 't wouldn't the answer be in ratio form ?

Answer 36

Well, actually, you should get 18 for the side of the large cube, since 18 X 18 X 18 = 5832

Answer 37

lol :( idk what i was doing but okay

Answer 38

Then if you take the cube root of 343, by raising 343 to the 1/3 power, you should get 7 for the length of the side of the small cube.

Answer 39

18:7

Answer 40

It is either 18:7 or 7:18 ... let me check on how they worded it. :)

Answer 41

ok

Answer 42

They are comparing the volume of the small cube to the large one, so yes I think you would want 7:18, since the small cube has linear dimensions that are 7/18 the size of the large one.

Answer 43

oh okay

Answer 44

Although my brain is a little fuzzy tonight ... and so maybe it is the other way around.

Answer 45

The sides of the small one are 7/18 the size of the large one. And the sides of the large one are 18/7 the size of the small one.

Answer 46

lol i was just about to say that but ill go with 7; 18 but thanks for your help

Answer 47

Wlcm!!!

Answer 48

Have a good night and a good summer!!! Almost there! :D

Answer 49

lol i will and you too have a good night and summer

Answer 50

Thanks! Bye!

Answer 51

bye