You don't have anything below Friday. Did the runner do any running that day?
A=x²+4, so 12x²+48=12(x²+4)=12a
the original equation becomes: a²+32=12a,
rearrange into standard form: a²-12a+32=0
the coefficient of the a term is -12.
the constant is 32.
Answer:
x = 5
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
- Subtraction Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
2(3x - 7) = 16
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Division Property of Equality] Divide 2 on both sides: 3x - 7 = 8
- [Addition Property of Equality] Add 7 on both sides: 3x = 15
- [Division Property of Equality] Divide 3 on both sides: x = 5
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Answer:
216 J
Step-by-step explanation:
The kinetic energy is given by ...
KE = 1/2mv^2
KE = (1/2)(3 kg)(12 m/s)^2 = 216 kg·m²/s² = 216 J
The kinetic energy of the toy is 216 joules.
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Its potential energy depends on its height.