Answer:
(x - 8)² + (y - 10)² = 36
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Pre-Calculus</u>
Circle Center Formula: (x - h)² + (y - k)² = r²
- <em>(h, k) </em>is center
- <em>r</em> is radius
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em>(h, k)</em> = (8, 10)
<em>r</em> = 6
<u>Step 2: Find Equation</u>
- Substitute in variables [Center Circle Formula]: (x - 8)² + (y - 10)² = 6²
- Evaluate exponents: (x - 8)² + (y - 10)² = 36
Answer:
x=5
y=2
Step-by-step explanation:
5x + 3y= 31
-6x - 3y = -36 (multiple by -3)
-x=-5
x=5
2(5)+y=12 or 25 + 3y= 31
10+y=12 3y=6
y=2 y=2
The coefficient, 0.25, of the expression represents the late fee for every day the book was overdue.
And the constant, 2, represents the fixed rental fee.
The variable, x, represents the number of days Joseph had the book for.
Hope this helps :)
So, to factor out the equation x²+12x+35, first multiply the first and last numbers.
1×35=35
So, you need to find the multiples of 35 that add up to 12.
So, you find 7 and 5. These two numbers are the magic numbers that will be used as the correct factored form of x²+12x+35, because:
>7×5=35
>7+5=12
So, using these two numbers, you get your factored form as:
(x+5)(x+7)
