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
What you do to on side of an equation (=) you must do to the other to keep both sides equal.
r3-2+2=+2 (add 2 to both sides of the equation to simplify the left side)
which becomes
r3=2
r3/3 = 2/3 (divide both sides by 3) Note 3/3 =1 and 1 r is the same as r
which becomes
r=2/3 .
From the problem description, we can construct an algebraic equation for the situation. Let S be the salary and x be the number of employees.
S = kx
where k is the proportionality constant
Using variation,
k = S₁/x₁ = S₂/x₂
Substituting,
34000/12 ? 36000/16
2833.33 ? 2250
Thus,
2833.33 ≠ 2250
<em>It does not follow the company's policy.</em>
1a. It does say y is "less than 8", which means 7, 6, 5, 4, etc. So it should be y < 8, with the arrow going from 8 to the the left.
Everything else in 1 is correct.
For 2, you're just picking out which of the given numbers satisfy the inequality, for example
a. 14, 15, 16 are solutions. 13 is not because it is less than 14.
3. Same thing as 1
-9=x+10
-19=x
The answer is -19
