Question

PLEASE HELP NOWWWWWWWW 20 POINTS PLEASE HELP

Using the transformation T: (x, y) (x + 2, y + 1). Find the distance named.

Find the distance CA (the answer must be in the square root form)

Answer 1

Answer: The length of AC is: " 2√2 units " .
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Step-by-step explanation:
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Note: (not to scale):
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C
| \
| \
2 | \ "c"
|-- \
| \
|_|______\ A
• 2
(point
–at which
right angle forms)
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Use the "Pythagorean theorem" (since this is a right triangle) to solve for the length of AC — which is represented by "c" :

a² + b² = c² ;

↔ c² = a² + b² ; Solve for "c" ;

Given: "a = 2 ; b = 2 " ;

→ c² = 2² + 2²

→ c² = 4 + 4 ;

→ c² = 8 ;

Take the "positive square root" of each side of the equation;
to isolate "c" on one side of the equation; & to solve for "c" ;

→ √(c²) = √8 ;

→ c = √8 ;

→ √8 = √4 * √2 = 2√2 .
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Answer: The length of AC is: " 2√2 units " .
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