Step-by-step explanation:
6 y = mx + b
7. m
8. b
9a m = 4 (slope), b = 12(yintercept)
9b -1. 4
9c 8. 21
9d 12. 9
Sharon spends 1248 because there are 52 weeks in a year and 24 * 52 = 1248
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
No it is not base e. It is 1.015.
An increase of 1.5 % = 1.015
Year 1, 2, 3,.........................., 30.
30000, 3000(1.015), 30000(1.015)²,........... 30000(1.015)²⁹
Her Total Income is sum over the thirty 30 year period:
Sn = a(r^n - 1) / (r - 1); a = 30000, r = 1.015, n = 30
Sn = 30000 ( 1.015^30 - 1) / (1.015 - 1)
= 30000 (1.56308022 - 1) / (0.015) = 1126160.44
Total = $ 1 126 160.44
Answer: (8,1)
Step-by-step explanation:
The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b
b = 3 2/3
The equation for the line is y = -(1/3)x + 3 2/3
The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1
The point is (8,1)