Question

Valerie's work deriving the distance formula for length d is shown.

Answer 1

Step-by-step explanation:

hope you can understand

Answer 2

Evaluation of Valerie's work is

a. She chose a point that does form a right angle.

b. She correctly wrote the length of each of the legs.

c. She should square the 'd' in the equation.

Distance formula is given by $d^{2} ={(y_{2} -y_{1}) ^{2}+ (x_{2} -x_{1}) ^{2} }$.

What is distance?

" Distance is defined as the length between two endpoints in one dimension."

According to the question,

• Right triangle is formed on the coordinate plane.

• Length of each leg  is written as vertical leg = $y_{2} -y_{1}.$ and                                          horizontal leg = $x_{2} -x_{1}.$

• Distance formula is given by $d^{2} ={(y_{2} -y_{1}) ^{2}+ (x_{2} -x_{1}) ^{2} }$.

Hence, Evaluation of Valerie's work is

a. She chose a point that does form a right angle.

b. She correctly wrote the length of each of the legs.

c. She should square the 'd' in the equation.

Learn more about distance here

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