Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (6, 2)
Point (9, 8)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:

- [Fraction] Subtract:

- [Fraction] Divide:

Answer:
x = 12
Step-by-step explanation:
x + 3 =
x + 1
multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions
3x + 18 = 4x + 6 ( subtract 3x from both sides )
18 = x + 6 ( subtract 6 from both sides )
12 = x
We take the equation <span>d = -16t^2+12t</span> and subtract d from both sides to get
0<span> = -16t^2+12t - d
We apply the quadratic formula to solve for t. With a = -16, b = 12, c = -d, we have
t = [ -(12) </span><span>± √( 12^2 - 4(-16)(-d) ) ] / [2 * -16]</span>
= [- 12 ± √(144-64d) ] / (-32)
= [- 12 ± √16(9-4d)] / (-32)
= [- 12 ± 4√(9-4d)] / (-32)
= 3/8 ±√(9-4d) / 8
The answer to your question is t = 3/8 ±√(9-4d) / 8
9514 1404 393
Answer:
A. 64 miles per hour
Step-by-step explanation:
In a linear equation, the "unit rate" is generally the coefficient of the variable. The units of the unit rate depend on the definition of the relationship.
Here, the time t is in hours, so the "unit rate" will be <something> per hour. The answer choices suggest that the <something> is "miles". That is, the units of the equation are ...
(miles/hour) × (hours) = miles
With numbers/variables, that is ...
(64 miles/hour) × (t hours) = 384 miles
The unit rate is 64 miles per hour.