The equation of a circle is given as:
(x-a)^2 + (y- b)^2 = r^2 where (a, b) is the center.
(x-9)^2 = x^2 -18x + 81 - ----(i)
(y+2)^2 =y^2 + 4y +4 ------ (ii)
r^2 = 49 ------ (iii)
Adding equation (i) and (iii)
x^2 + y^2 - 18x + 4y + 85 -----(iv)
Equating equation (iv) and (iii)
<span>x^2 + y^2 - 18x + 4y + 85 = 49
Arrange the equation:
</span> <span>x^2 + y^2 - 18x + 4y + 36 = 0
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I hope this helps
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Let’s take x as the price of a taco and y as the price of a serving of nachos.
22x + 17y = 71.05. First order
10x + 5y = 27.25. Second order
Multiply the first order by 5 and the second order by 11
110x + 85y = 355.25
110x + 55y = 299.75
Subtract
30y = 55.5
y = 1.85
So 10x + 5x1.85 = 27.25
10x = 27.25 - 9.25 = 18
x = 1.8
So each taco cost $1.80 and an order of nachos cost $1.85
Answer:
Step-by-step explanation:
The square base of each prism has a side length of 18 inches. The height of each prism, h, can be found using the function, where V is the volume of the prism.
So, V = 18² × h = 324h
⇒ h = 
.......... (1)
Now, given that the total height of the box, b, can be found using the function b(h) = xh, where x is the number of square-based prisms in a specific box.
Therefore, the box having 4 square prism will have height
b(h) = 3h
⇒ b(V) = 
{From equation (1)}
⇒ (Answer)
Answer:
20
Step-by-step explanation:
- x+20%=24
- x+x*20/100=24
- x+0.2x=24
- 1.2x=24
- x=24/1.2
- x=20
