Question

I got a worksheet that I have on idea how to do?

Answer 1

its down here

Answer 2

did you do the first one?

Answer 3

no

Answer 4

ok well let's get to working on 2 :)

so our equation is \[E\ =\ mc ^{2}\]
and we wanna get m by itself. to do that, we're going to divide both sides by c^2

Answer 5

we divide because m and c^2 are being multiplied, and division is the opposite of multiplication

Answer 6

so \[m\ = \ \frac{ E }{ c ^{2} }\]

Answer 7

make sense?

Answer 8

a little

Answer 9

ok so the next one is \[S\ =\ 4\pi r ^{2}\]and we wanna solve for the radius, r. what do you think we should do first?

Answer 10

so the next one would be r^2=4*3.14/500

Answer 11

no. close tho. we're not going to make S 500 yet. and we wouldn't be dividing 4(3.14) by S. we would divide S by 4(3.14) so\[\frac{ S }{ 4\pi }\ =\ r^2\]

Answer 12

and, r^2 isn't the same as r. so we're going to square root both sides so that\[r\ =\ \sqrt{\frac{ S }{ 4\pi }}\]

Answer 13

now we can make S = 500\[r\ =\ \sqrt{\frac{ 500 }{ 4\pi }}\]

Answer 14

oh ok so r is alown and the way you did that was bymaking r^2 in to r= square root

Answer 15

the opposite of squaring a number is finding a number's square root. so to get r by itself, without the square, we have to find the square root of both sides. doing that makes r^2 into r, and puts the entire right side of the equation into a radical

Answer 16

do you think you could help me come up with one?