Answer:
Step-by-step explanation:
((-2-8)/2, (-4-12)/2)
(-5, -8)
Answer:
In mathematics, we call multiplying a number by itself “squaring” the number. We call the result of squaring a whole number a square or a perfect square. A perfect square is any number that can be written as a whole number raised to the power of 2. For example, 9 is a perfect square.
Step-by-step explanation:
Answer:
2r-3(r+7)-8r=10(r-1)
2r-3r-21-8r=10r-10
-9r-10r=-10+21
-19r=11
-19/11=r
Step-by-step explanation:
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
![\checkmark](https://tex.z-dn.net/?f=%5Ccheckmark)
- Substitute in point [2nd Equation]: 1 + 4(4) = 17
- Multiply: 1 + 16 = 17
- Add: 17 = 17
![\checkmark](https://tex.z-dn.net/?f=%5Ccheckmark)
∴ Since both equations work out, (1, 4) is a solution to the systems of equations.
We are given equation: y=ln(x) .
And translation is 5 units down.
We know the rule of transformation f(x) = y + k, if k is greater than 0 it would move up or if k is less than 0, it would move down.
For the given translation 5 unit down, 5 should be less than 0.
Number less than 0 are negative numbers.
So, we need to add -5 in the given function to ln(x).
So, we would get the final equation for five units down as
y =ln(x) - 5.