Let E be the midpoint of OA and F be the midpoint of OB.
If point O is placed between A and B, then points E and F are placed <span>on different sides from O. The segment OE has length 12÷2=6 cm and segment OF has length 9÷2=4.5 cm. Than EF=6+4.5=10.5 cm.
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If
point O is placed outside the segment AB, then point B is closer to
point O than point A, because OA>OB. Since OE=6 cm and OF=4.5 cm,
EF=6-4.5=1.5 cm.
Answer:
a= -6
Step-by-step explanation:
Given
a=2+3a+10
In order to find the value of a, we have to isolate a on a single side of the equation
So,
subtracting 3a from both sides
a-3a = 2+10+3a-3a
=>a-3a=12
=> -2a = 12
Dividing both sides by -2
=> -2a/-2 = 12/-2
=> a = -6
The value of a in the given equation is -6 ..
The greatest common factor of 72 and 4 is 4.
Answer:
Dependent Equations
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<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations by substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 5x
20x - 4y = 0
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em> [2nd Equation]: 20x - 4(5x) = 0
- Multiply: 20x - 20x = 0
- Combine like terms: 0 = 0
Here we see 0 does indeed equal 0.
∴ our systems has an infinite amount of solutions.
