<span>
To get volume, you multiply the length of the block by the width by the height. LxWxH</span><span> </span>
Answer:
y = 6x - 9
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula: 
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Point (4, 15)
Point (-1, -15)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract:

- Divide:
<u>Step 3: Find y-intercept </u><em><u>b</u></em>
- Define: y = 6x + b
- Substitute: -15 = 6(-1) + b
- Multiply: -15 = -6 + b
- Isolate <em>b</em>: -9 = b
- Rewrite: b = -9
<u>Step 4: Write linear equation</u>
<em>Substitute in all variables.</em>
y = 6x - 9
And we have our answer!
Answer:
Composition of f and g = 6x + 7
Composition of g and f = 6x + 11
Step-by-step explanation:
f(x) = 2x + 3
g(x) = 3x + 2
f(g(x)) = 2(g(x)) + 3 = 2(3x + 2) + 3 = 6x + 4 + 3 = 6x + 7
g(f(x)) = 3(f(x)) + 2 = 3(2x + 3) + 2 = 6x + 9 + 2 = 6x + 11
1/3(12+x) = -8 (6-x)
Distribute the 1/3 and the -8 through their parentheses
4 + 1/3x = -48 + 8x
subtract 4 from each side
1/3x = -52 + 8x
subtract 8x from each side
1/3x - 8x = -52
combine like terms
1/3x - 24/3x = -52
-23/3x = -52
divide each side by -23/3 (multiply the reciprocal of the divisor)
x = -52 × -3/23
x = 156/23
x = 6 18/23 or 6.78
Answer:
10,300.77 cm³
Step-by-step explanation:
Radius = ½(diameter)
Diagonal:
sqrt[243 + 243]
sqrt(486)
Diameter
sqrt(486 + 243)
27
Radius: 27/2
Volume of sphere:
4/3 × pi × r³
4/3 × 3.14 × (27/2)³
10300.77 cm³