B. 3x-2y=6 would be the correct answer
1 stack of nickels is S=45gm; given that there are 9 nickels on each stack you can
divide the mass of the stack(
45)
by the
number of nickels in a stack(
9) to
find the
mass of 1 single
nickel
<u>5gm = 1 nickel</u>
Answer:
3/5
Step-by-step explanation:
when you multiply powers by a zero it = 0 so you would just end up with 3/5
Answer:
the third one and the last one is correct
Step-by-step explanation:
we already know the second one is wrong because of it's set up.
just replace the points (-1,7) into each equation. if it doesn't work then move on to the next one. if it does work, then use that same equation except this time to the coordinates (2,4)
Answer:
We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.
We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :
1 - We first group terms with the same variable :
(x²+8x) + (y²+22y) + 37 = 0
2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)
(x²+8x) + (y²+22y) = - 37
3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.
x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²
y²+22y = (y²+22y+11²)-11² = (y+11)²-11²
4 - We plug the new values inside our equation :
(x+4)² - 4² + (y+22)² - 11² = -37
(x+4)² + (y+22)² = -37+4²+11²
(x+4)²+(y+22)² = 100
5 - We re-write in standard form :
(x-(-4)²)² + (y - (-22))² = 10²
And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)
