Step-by-step explanation:
The slope of a line connecting two points is:
m = (y₂ − y₁) / (x₂ − x₁)
The slope of line 1 is:
m = (4 − 0) / (7 − 1)
m = 2/3
The slope of line 2 is:
m = (6 − 0) / (3 − 7)
m = -3/2
Parallel lines have equal slopes.
Perpendicular lines have opposite inverse slopes.
2/3 and -3/2 are opposite inverses, so the lines are perpendicular.
Answer:
Step-by-step explanation:
and equals the state of art called minecraft
The buyers are telling the seller that $40 per t-shirt is way too much. There are multiple stores I can name that will sell you a t-shirt for five dollars, so it just looks like a bad deal. The buyers are saying that the price needs to go down.
The heat produced by current I is
H = I²R
where
R = resistance.
According to the formula, heat produced is proportional to the square of the current.
When a current of I = 2 amps is applied, the heat produced is
H = 10x³ + 80.
This heat includes heat due to a fixed current of 2 amps, and heat due to a variable current of x amps.
Because the heat produced is proportional to the square of the current, write the expressions as
H = (10x)*(x²) + 20*(2²)
The second term on the right is heat due to the fixed current of 2 amps, written as
20*(2²).
Therefore the fixed resistance is R = 20 ohms, and the square of the fixed current is 2².
The first term represents heat due to variable resistance, written as
(10x)*(x²).
Therefore the variable resistance is 10x, and the square of the variable current is x².
Answer:
The variable current is 10x.
Answer:
2√5 - 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Expand by FOIL
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
(√5 + 4)(√5 - 2)
<u>Step 2: Simplify</u>
- Expand [FOIL]: (√5)² - 2√5 + 4√5 - 8
- Combine like terms: (√5)² + 2√5 - 8
- Evaluate exponents: 5 + 2√5 - 8
- Combine like terms: 2√5 - 3
