Answer:
63,800
Step-by-step explanation:
Answer:
Perpindicular
Step-by-step explanation:
Solve each equation for y, or point Slope form.
y = mx + b
4y = 3x - 4 divide both sides by 4 to isolate the y.
y = 3/4x - 1
The second equation.
4x + 3y = - 6 subtract 4x from both sides
3y = -4x - 6 divide both sides by 3
y = -4/3 - 2
If you visualize line 1 having a Slope of 3/4, that is, for every 4 we move in the positive x direction, y will increase by 3, it slopes up from left to right crossing the y axis at (0,-1). The second line moves 3 in the positive x direction and decreases in y by 4, it slopes down from left to right crossing the y axis at (0,-2}.
Because the two lines have negative inverse slopes they are perpendicular. 3/4x and - 4/3x
Answer:
40.3%
Step-by-step explanation:
11,504÷28,547=0.4029 which as a percent would be 40.3% rounded to the nearest decimal
Answer:
b < -1
Step-by-step explanation:
Step 1: Write inequality
-3(6b - 1) > 18 - 3b
Step 2: Solve for <em>b</em>
<u>Distribute -3:</u> -18b + 3 > 18 - 3b
<u>Add 18b to both sides:</u> 3 > 18 + 15b
<u>Subtract 18 on both sides:</u> -15 > 15b
<u>Divide both sides by 15:</u> -1 > b
<u>Rewrite:</u> b < -1
Answer:
SA = 748π in²
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>r</em> = 11 in
<em>h</em> = 23 in
<u>Step 2: Find Surface Area</u>
- Substitute in variables [Surface Area of a Cylinder Formula]: SA = 2π(11 in)(23 in) + 2π(11 in)²
- Evaluate exponents: SA = 2π(11 in)(23 in) + 2π(121 in²)
- Multiply: SA = 506π in² + 242π in²
- Add: SA = 748π in²
