Answer:
a=−b−c−d+15
Step-by-step explanation:
Step 1: Add -b to both sides.
a+b+c+d+−b=15+−b
a+c+d=−b+15
Step 2: Add -c to both sides.
a+c+d+−c=−b+15+−c
a+d=−b−c+15Step 3: Add -d to both sides.
a+d+−d=−b−c+15+−d
a=−b−c−d+15
Answer:
V = 8591.04 ft³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Cylinder: V = πr²h
- V is volume
- r is radius
- h is height
Step-by-step explanation:
<u>Step 1: Identify</u>
Radius <em>r</em> = 12 ft
Height <em>h</em> = 19 ft
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of Cylinder]: V = π(12 ft)²(19 ft)
- Evaluate exponents: V = π(144 ft²)(19 ft)
- Multiply: V = 2736π ft³
- Substitute π: V = 2736(3.14) ft³
- Multiply: V = 8591.04 ft³
change 20 in to ft
20/12 = 1 2/3 ft
4 ft x ft
------- = ---------------
5 /3 ft shadow 120 ft
using cross products
4 * 120 = 5/3 x
480 = 5/3 x
multiply each side by 3/5
480 * 3/5 = x
288 ft
Y = 3x + 3
y = x - 1
As you can see, both equations are set to equal y. This means the right sides of each equation are equal, since y is isolated in both equations. So to solve this particular system of equations for x, set the right sides of both equations equal to each other. After you've done that, you can proceed to solve the equation algebraically for the variable, x.
3x + 3 = x - 1
2x + 3 = -1
2x = -4
x = -2
Negative two is the x-value. To find the y-value, substitute -2 for x into either equation and solve algebraically for y.
y = x - 1
y = -2 - 1
y = -3
The final step is to check all work by plugging both x- and y-values back into both equations.
y = 3x + 3
-3 = 3(-2) + 3
-3 = -6 + 3
-3 = -3 -- This is true
y = x - 1
-3 = -2 - 1
-3 = -3 -- This is true.
Answer:
(-2, -3)
