There are 812,000 gallons of water in an olympic training center's pool. express this number in scientific notation. a) .812 x 106 b) 8.12 x 105 c) 81.2 x 104 d) 812 x 103

.12×10^5

... i got this by taking the first number 8 and then counting the places behind the 8 which would be 5 so than you move the decimal place by 5 so you get 8.12 then you show theirs 5 places behind the 8 by adding the 10^5 so you get 8.12×105

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

step-by-step explanation:

the answer is 128