Louisa's restaurant bill comes to 75.50 and leaves a 15% tip what's the total

1 answer:

3 0

$86.83
Multiply 75.50 times .15 (15%). This will give you what she tipped. To then find her total, add 75.50 plus that found number and that will give you her total.

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Solve the quadratic equation by completing the square. x^2+12x+52=0

White raven [17]

Answer:

(x + 6)² + 16 = 0

Step-by-step explanation:

To complete the square we will first need to get our equation to look like: x² + bx = c

Here we have x² + bx + c = 0 → x² + 12x + 52 = 0

First we need to subtract our c, in this case 52, from both sides to get x² + 12x = -52
We then need to add $(\frac{b}{2} )^{2}$ to both sides of the equation
Here our b value is 12, so plugging this into our formula we get $(\frac{12}{2} )^{2} =(6)^{2} =36$
Adding 36 to both sides our equation becomes: x² + 12x + 36 = -52 + 36
Then combining like terms on the right side we get x² + 12x + 36 = -16
Now making our left side of the equation into a perfect square we get: (x + 6)² = -16
Finally adding the 16 to both sides of the equation we get: (x + 6)² + 16 = 0