What is a necessary step for constructing perpendicular lines through a point off the line?

Mathematics

2 answers:

mixas84 [53]3 years ago

7 0

Draw arcs on either side of a given point on the line

To construct a line perpendicular to another line through a point on the line:

Measure a length from that point to one edge of the line

Draw two intersecting arcs on either sides of the line

Draw a straight line from the intersecting point of the arcs to the point on the existing line.

The new line drawn is a perpendicular line.

The only step necessary out of the given choices is "Draw arcs on either side of a given point on the line"

Option C is the correct choice

Learn more here: brainly.com/question/929137

Andrej [43]3 years ago

5 0

Answer:

was it c?

Step-by-step explanation:

have a great day

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Find the inverse of function f. f(x)=1/3 - 1/21x

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Answer:

A. $\displaystyle f^{-1}(x) = 7 - 21x$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

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

Algebra I

Terms/Coefficients
Functions
Function Notation
Inverse Functions

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle f(x) = \frac{1}{3} - \frac{1}{21}x$

Step 2: Find inverse

Rewrite: $\displaystyle y = \frac{1}{3} - \frac{1}{21}x$
Swap: $\displaystyle x = \frac{1}{3} - \frac{1}{21}y$
[Subtraction Property of Equality] Isolate y term: $\displaystyle x - \frac{1}{3} = -\frac{1}{21}y$
[Multiplication Property of Equality] Isolate y: $\displaystyle -21(x - \frac{1}{3}) = y$
[Distributive Property] Distribute -21: $\displaystyle 7 - 21x = y$
Rewrite: $\displaystyle f^{-1}(x) = 7 - 21x$