Answer:

Step-by-step explanation:
×
= 
(
)² =
= 
9514 1404 393
Answer:
- waffle $8
- hashbrowns $1.50
Step-by-step explanation:
Using w and h for the costs of a waffle and hashbrowns, respectively, we can write the equations for the purchase amounts as ...
w + h = 9.50
2w + 3h = 20.50
Subtracting twice the first equation from the second gives ...
(2w +3h) -2(w +h) = (20.50) -2(9.50)
h = 1.50 . . . . . . simplify
w = 9.50 -h = 8.00 . . . . . find w using the first equation
The cost of a waffle is $8.00; the cost of hashbrowns is $1.50.
Counting each visible cube, and multiplying it by 2, he used 112. If you counted them, there would be 56 cubes. You'd multiply by 2 for the non-visible ones.
Answer:
(6, 9 ) and r = 3
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 18y + 108 = 0
Rearrange the x- terms and the y- terms together and subtract 108 from both sides, that is
x² - 12x + y² - 18y = - 108
To obtain standard form use the method of completing the square
add ( half the coefficient of the x and y terms )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 9)y + 81 = - 108 + 36 + 81
(x - 6)² + (y - 9)² = 9 ← in standard form
with centre = (6, 9 ) and r =
= 3