Answer:
14.4 cm
Step-by-step explanation:
The formula for the area of a regular hexagon in terms of its side length s is ...
... A = (3√3)/2·s²
Then the side length is ...
... s = √(2A/(3√3))
and the perimeter is ...
... P = 6s = √(8A√3)
For your area, this is ...
... P = √(8·14.96·√3) ≈ √207.292 ≈ 14.4 . . . . cm
621,864
Since the 4 is a smaller digit than a 5, the 6 in the tens place would stay the same while the 4 would become a 0.
Here's what you have to do: multiply. 54.9×12= 658.8. So, he traveled 658.8 miles in twelve hours.
Answer:
(0, 9)
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
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -2x + 9
y = 3x + 9
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 3x + 9 = -2x + 9
- [Addition Property of Equality] Add 2x on both sides: 5x + 9 = 9
- [Subtraction Property of Equality] Subtract 9 on both sides: 5x = 0
- [Division Property of Equality] Divide 5 on both sides: x = 0
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -2x + 9
- Substitute in <em>x</em>: y = -2(0) + 9
- Multiply: y = 0 + 9
- Add: y = 9
Answer: y = 1x -3
The 1 is not necessary so
y= x - 3
Step-by-step explanation:
(y- y1) = m(x -x1). First
Substitute y and x-values from the given coordinates and solve for x.
7-(-1)=m(10-2)
8 = m(8) 8/8=1 T
m= 1 The slope, m is 1
Then substitute values of y and x from either given coordinate into the equation and solve for b, the y-intercept.
y=mx+b
-1= 1(2)+b
-1=2+b subtract 2 from both sides.
-1-2 = b
-3 = b
OR
7= 10 + b
-10 +7 = b
-3 = b
Finally, write the equation with the values for m and b
y = 1x +(-3) Simplify & Rewrite
y= x - 3