Answer:
7.5
Step-by-step explanation:
multiply then divide
Answer:

Step-by-step explanation:
First, find the magnitude of the vector:

Then, divide each component of the vector by the magnitude to get the unit vector and rationalise:

Answer:
First expression 8y +4x +10
Second expression 7x-3y +6
If you want to combine both expressions: 5y +11x +16
Step-by-step explanation:
Like terms are the terms which have same variables and powers/roots.
Example: 7x and 2x are like terms because the variables are both "x". So we can combine in 9x
In an expression, only like terms can be combined. We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily. To combine like terms, we add the coefficients and keep the variables the same
10y + 3x + 10 + x -2y
10y-2y=8y 3x+x=4x
so 8y +4x +10
3x - y + 4x + 6 - 2y
3x+4x=7x -2y -y = -3y
so 7x-3y +6
Answer:
Yes.
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)
- Systems of Equations
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
8x + 3y = 20
x + 4y = 17
(1, 4)
<u>Step 2: Check</u>
<em>Plug and verify the coordinates is a solution.</em>
- Substitute in point [1st Equation]: 8(1) + 3(4) = 20
- Multiply: 8 + 12 = 20
- Add: 20 = 20

- Substitute in point [2nd Equation]: 1 + 4(4) = 17
- Multiply: 1 + 16 = 17
- Add: 17 = 17

∴ Since both equations work out, (1, 4) is a solution to the systems of equations.
D. y = 42x + 10
This is because the gradient is the largest in this one :)