Answer:
To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.
Answer:
You have one algebraic expression. It can be simplified by adding and subtracting like terms within it.
You have two algebraic expressions and are asked to add or subtract them. After adding or subtracting, you’ll end with one final algebraic expression.
Answer:
29.98332
Step-by-step explanation:
Answer:
p = 7/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
-4p + 9 = -5
<u>Step 2: Solve for </u><em><u>p</u></em>
- Subtract 9 on both sides: -4p = -14
- Divide -4 on both sides: p = 7/2
<u>Step 3: Check</u>
<em>Plug in p into the original equation to verify it's a solution.</em>
- Substitute in <em>p</em>: -4(7/2) + 9 = -5
- Multiply: -14 + 9 = -5
- Add: -5 = -5
Here we see that -5 does indeed equal -5.
∴ p = 7/2 is the solution to the equation.
Answer:
202 meters
Step-by-step explanation:
Since this is a right triangle, you can plug it into Pythagoras theorem of a squared plus b squared equals c squared. So 198 squared plus 40 squared equals 40804. Square root this and it gives you 202 meters.
