Answer:
16
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
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Leg <em>a</em> = <em>a</em>
Leg <em>b</em> = 12
Hypotenuse <em>c</em> = 20
<u>Step 2: Solve for </u><em><u>a</u></em>
- Substitute in variables [Pythagorean Theorem]: a² + 12² = 20²
- Evaluate exponents: a² + 144 = 400
- [Subtraction Property of Equality] Isolate <em>a</em> term: a² = 256
- [Equality Property] Square root both sides: a = 16
I think that the only polynomial that has a solution that are real numbers is:
B) x² + 4x + 3 = 0
(x + 3) (x + 1) → x² + 1x + 3x + 3 → x² + 4x + 3
(x+3) = 0 → x = -3
(x + 1) = 0 → x = -1
Real numbers are number that are whole numbers, rational and irrational numbers, positive and negative numbers, and even zero.
Answer:
x=1
y=-1
Step-by-step explanation:
x = y+2
x+2y = 5
y+2 +2y = 5
3y +2 = 5
3y = 3
y=1
x=-1
Answer:
4.67 feet
Step-by-step explanation:
The computation of missing dimension of the triangle is given below:
As we know that
Area of the triangle = 1 ÷ 2 × base × height
14 = 1 ÷ 2 × base × 6
14 = 3 × base
So, the base is
= 14 ÷ 3
= 4.67 feet
Here we assume the area to be 14 square feet