To find the pre-image we work backwards. Since the coordinates one of the translated image is (5,-3) and this image was translated with the formula (x+4, y-2), then we can just work backwords.
(x-4, y+2) --> (5-4,-3+2) -->(1,-1)
The correct answer is (1,-1)
just a plain vanilla substitution
Answer:
5x - 4y = 0
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given 0 = - 5x + 4y ( multiply through by - 1 )
5x - 4y = 0 ← in standard form
Answer:
6.7
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 2
Hypotenuse <em>c</em> = 7
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: x² + 2² = 7²
- Isolate <em>x </em>term: x² = 7² - 2²
- Exponents: x² = 49 - 4
- Subtract: x² = 45
- Isolate <em>x</em>: x = 3√5
- Evaluate: x = 6.7082
- Round: x ≈ 6.7
