Answer:
D
Step-by-step explanation:
To obtain vertex form from the given equation use the method of completing the square
given 8y + x² = - y² - 181 + 26x
rearrange having the x terms and y terms together
add y² to both sides
8y + x² + y² = - 181 + 26x ( subtract 26x from both sides )
x² - 26x + y² + 8y = - 181
add (half the coefficient of the x/y terms )² to both sides
x² + 2(- 13)x + 169 +y² + 2(4)y + 16 = - 181 + 169 + 16
completing the square on both the x and y terms
(x - 13)² + (y + 4)² = 4 → D
Answer:
y = 3
Step-by-step explanation:
Solve for y:
y + 3 = 9 - y
Add y to both sides:
y + y + 3 = (y - y) + 9
y - y = 0:
y + y + 3 = 9
y + y = 2 y:
2 y + 3 = 9
Subtract 3 from both sides:
2 y + (3 - 3) = 9 - 3
3 - 3 = 0:
2 y = 9 - 3
9 - 3 = 6:
2 y = 6
Divide both sides of 2 y = 6 by 2:
(2 y)/2 = 6/2
2/2 = 1:
y = 6/2
The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:
Answer: y = 3
Answer:
Number of bags of candy = 2
Number of bags of cookies = 7
Step-by-step explanation:
Let, number of bags of candy = X
So, Number of bags of cookies = X + 5
Cost of candy bag = $8
Cost of cookies bag = $2.5
Total sales = $33.50
So, Total cost of Candy Bags + Total cost of cookies bags = Total sales
= 8X + 2.5 ( X +5) = 33.50
= 8X + 2.5X + 12.5 = 33.50
= 10.5X = 33.50 - 12.5
= 10.5X = 21
X = 2
So, number of bags of candy = 2
Number of bags of cookies = 2 + 5 = 7
