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3 years ago

If a ⊥ b and b ∥ c, then _____

Mathematics

1 answer:

Tasya [4]3 years ago

3 0

Answer: If a ⊥ b and b ║ c, then a ║c

Step-by-step explanation: I substituted a more legible symbol for parallel. I believe that is what the question means.

a will be perpendicular to any line that is parallel to b.

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3 years ago

6x-5y=15 x=y+3 find x and y

arlik [135]

Answer:

(0, -3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

6x - 5y = 15

x = y + 3

Step 2: Solve for y

Substitution

Substitute in x: 6(y + 3) - 5y = 15
Distribute 6: 6y + 18 - 5y = 15
Combine like terms: y + 18 = 15
[Subtraction Property of Equality] Subtract 18 on both sides: y = -3

Step 3: Solve for x

Define original equation: x = y + 3
Substitute in y: x = -3 + 3
Add: x = 0

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3 years ago