It has become somewhat fashionable to have students derive the Quadratic Formula themselves; this is done by completing the square for the generic quadratic equation ax2 + bx + c = 0. While I can understand the impulse (showing students how the Formula was invented, and thereby providing a concrete example of the usefulness of abstract symbolic manipulation), the computations involved are often a bit beyond the average student at this point.
Answer:
x = 35
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Geometry</u>
- Definition of a Line: A line is 180°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
40° + (2x + 30)° + 40° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 2x + 110 = 180
- Subtract 110 on both sides: 2x = 70
- Divide 2 on both sides: x = 35
Answer:
it would be 0.3 with bar notation
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Required
Determine the solution
Since b is a perfect square, the equation can be expressed as:
Apply difference of two squares:
Split:
Remove brackets:
Make a the subject in both equations
The solution can be represented as:
Answer:
1/4
Step-by-step explanation:
Half of 1/2 Because 1/2=4 Teaspoons of Lemon Oil
So 1/4=2 Teaspoons of Lemon Oi
