Answer:
Each of them had $49 at first.
Step-by-step explanation:
Given:
Cedric and Doug each had an equal amount of money.
Let the number of money they had at first be x
Cedric spent = $35
Doug spent = $28
Cedric Money left = 
Doug Money left = 
the ratio of Cedric money to Doug money was 2:3
Hence the expression can be made as;
Now by cross multiplication method we get;
Now we will use distributive property to elaborate the same;
Combining common terms we get;
Using Subtraction property we get;
Hence $49 they each had at first.
G should equal out the be 8 Because 6X8 is equal to 48! I hope this helps:)
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 :)
Answer:
-3
3
9
33
Step-by-step explanation:
y=6x+3
In the chart theres a column for x. The numbers in that column gets subsituted for x in y=6x+3. For example, the first number in the chart is -3. The equation would then be y=6(-3)+3. You then solve from there.
Hope this helps <3
