Answer:
a >2
Step-by-step explanation:
n = 3a-6
n must be positive
3a > 6 for n to be positive
Divide by 3
3a/3 > 6/3
a >2
Answer:
A ≈ 132.73 m²
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Area of a Circle Formula: A = πr²
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>r</em> = 6.5 m
<u>Step 2: Find Area</u>
- Substitute in variables [Area of a Circle Formula]: A = (3.14)(6.5 m)²
- Evaluate exponents: A = (3.14)(42.25 m²)
- Multiply: A = 132.732 m²
- Round: A ≈ 132.73 m²
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
x + 2y = 10 → (1)
2y² - 7y + x = 0 → (2)
Rearrange (1) expressing x in terms of y by subtracting 2y from both sides
x = 10 - 2y → (3)
Substitute x = 10 - 2y into (2)
2y² - 7y + 10 - 2y = 0
2y² - 9y + 10 = 0 ← in standard form
(y - 2)(2y - 5) = 0 ← in factored form
Equate each factor to zero and solve for y
y - 2 = 0 ⇒ y = 2
2y - 5 = 0 ⇒ 2y = 5 ⇒ y = 
Substitute these values into (3) for corresponding values of x
y = 2 → x = 10 - 4 = 6 ⇒ (6, 2 ) → B
y = → x = 10 - 5 = 5 ⇒ (5, ) → A
The triangle ACD is the right angle since it is a triangle in a semicircle. The length of AC from the diagram is 21.9feet
<h3>Application of pythagoras theorem</h3>
The theorem states that the square of the hypotenuse is equal to the square of the other two sides
From the given circle, the triangle ACD is right angle since it is a triangle in a semicircle
Given the following
Hypotenuse = 26 feet = CD
Base side = AD = 14ft
Required
Length AC
Use the theorem
26^2 = 14^2 + AC^2
AC^2 = 676 - 196
AC^2 = 480
AC = 21.9feet
Hence the length of AC is 21.9feet
Learn more on pythagoras theorem here: brainly.com/question/343682
Step-by-step explanation:
Draw points at
(-1, -4)
(0, -2)
(1, 0)
(2, 2)
(3, 4)
Then draw a line through those points and that should do it.
