Answer:
![\displaystyle (\frac{11}{2},5)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28%5Cfrac%7B11%7D%7B2%7D%2C5%29)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Midpoint Formula:
![\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
Step-by-step explanation:
<u>Step 1: Define</u>
Point A(8, 2) → x₁ = 8, y₁ = 2
Point B(3, 8) → x₂ = 3, y₂ = 8
<u>Step 2: Find Midpoint</u>
Simply plug in your coordinates into the midpoint formula to find midpoint
- Substitute in points [Midpoint Formula]:
![\displaystyle (\frac{8+3}{2},\frac{2+8}{2})](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28%5Cfrac%7B8%2B3%7D%7B2%7D%2C%5Cfrac%7B2%2B8%7D%7B2%7D%29)
- [Midpoint] [Fraction] Add:
![\displaystyle (\frac{11}{2},\frac{10}{2})](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28%5Cfrac%7B11%7D%7B2%7D%2C%5Cfrac%7B10%7D%7B2%7D%29)
- [Midpoint] Divide:
![\displaystyle (\frac{11}{2},5)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28%5Cfrac%7B11%7D%7B2%7D%2C5%29)
Turn a percent into a decimal by moving the decimal point two to the left.
10 x 6% = 10 x .06
10 x .06 = .60
Sales tax: 60 cents
Total price: $10.60
3x+2=5x-2
2x=4
x=2 i think is the answer im not sure if i got it right im sorry if i did get it wrong
A perpendicular line has an opposite reciprocal slope. This means that the new line will have a slope of -4/3x. Plug in x and y into the equation y=Mx +b where m is the slope (-4/3):
-3=(-3/4)(-3) + b
and isolate b:
b-3=(-3/4)(-3)
b=(-3/4)(-3) +3
b=9/4+3
b=21/4
The final equation is y= -4/3x + 21/4
The y intercept is (21/4).