Answer:
x = 0.19 or x = -0.76
Step-by-step explanation:
Equation: 7²-4x = 2
reordering the equation,
7x²-4x-2 = 0
Applying,
x = [-b±√(b²-4ac)]/2a..................... Equation 1
From the question,
Given: a = 7, b = -4, c = -2
Substitute these values into equation 1
x = [-4±√(-4²-(2×7×-2)]/(2×7)
x = [-4±√(16+28)]/14
x = (-4±√44)/14
Either
x = (-4+√44)/14
x = (-4+6.63)/14
x = 2.63/14
x = 0.19
or
x = (-4-√44)/14
x = (-4-6.63)/14
x = -10.63/14
x = -0.76
Answer:
A) 3 in
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Surface Area of a Sphere: SA = 4πr²
- Diameter: d = 2r
Step-by-step explanation:
<u>Step 1: Define</u>
SA = 23 in²
<u>Step 2: Find </u><em><u>r</u></em>
- Substitute [SAS]: 23 in² = 4πr²
- Isolate <em>r </em>term: 23 in²/(4π) = r²
- Isolate <em>r</em>: √[23 in²/(4π)] = r
- Rewrite: r = √[23 in²/(4π)]
- Evaluate: r = 1.35288 in
<u>Step 3: Find </u><em><u>d</u></em>
- Substitute [D]: d = 2(1.35288 in)
- Multiply: d = 2.70576 in
- Round: d ≈ 3 in
Answer:
16.58 feet
Step-by-step explanation:
a² + b² = c²
Think of this as a right triangle
The hypotenuse is 30, and one of the legs is 25
To find the other leg, subtract the square of the hypotenuse by the square of the given leg
30² - 25² = leg
900 - 625 = 275
Square root the answer to find the length of the missing leg
√275 = 16.583123951777
The leg is 16.58 ft.
1) he is not reasonable because pounds per feet would mean you would do 7.3/14.6 which is a decimal
hope this helped :)
