In 1 hour, light travels 670,616,629 miles
in h hours, distance traveled, d = <span>670,616,629h miles
Answer is B.</span>
L=3w-4
Perimeter = 64
64=2L+2w
Plug in L that we solved above into this equation:
64=2(3w-4)+2w
64=6w-8+2w
64=8w-8
72=8w
w=9
Plug W back into the equation above to solve for L
L=3w-4
L=(3)(9)-4
L=23
Check the answer with the perimeter formula:
P=2L+2w
P=2(23)+2(9)
P=46+18
P=64
If an object is translated, it is just moved over....it does not effect the shape, the shape stays the same.
Therefore, if line segment EF has a length of 5 units....and it is translated 5 units to the right...it is just moved 5 units to the right....and the length remains the same.
so E'F' still has a length of 5 units
Answer:
x = 3, 5
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
<u>Algebra I</u>
- Terms/Coefficients/Degrees
- Standard Form: ax² + bx + c = 0
- Multiple Roots
- Factoring
- Completing the Square: -b/(2a)
Step-by-step explanation:
<u>Step 1: Define</u>
x² - 8x + 15 = 0
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Subtraction Property of Equality] Subtract 15 on both sides: x² - 8x = -15
- Complete the Square [Addition Property of Equality]: x² - 8x + 16 = -15 + 16
- [Complete the Square] Simplify: (x - 4)² = 1
- [Equality Property] Square root both sides: x - 4 = ±1
- [Addition Property of Equality] Add 4 on both sides: x = 4 ± 1
- Evaluate: x = 3, 5
Answer: it is a direct variation.
Justification:
In a direct variation the variables are related by a proportionality constant in this way:
y = k x
Tthan means that the value of y is always the product of a constant times the value of x.
The situation discribed for the coal may be written as:
number of tons of coal burned: c
number of hours: h
⇒ c = k × h
Which is that you can calcualte the number of tons of coal burned at any time, once you know the proportionality constant k.