Question

using the distance formula find the distance between the two points. round your result to two decimal places. 35. a(4, 5), b(-3, -2)

Explanation:

Step1: Identify distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Assign values

Let $(x_1,y_1)=(4,5)$ and $(x_2,y_2)=(-3,-2)$. Then $x_2 - x_1=-3 - 4=-7$ and $y_2 - y_1=-2 - 5=-7$.

Step3: Calculate squares

$(x_2 - x_1)^2=(-7)^2 = 49$ and $(y_2 - y_1)^2=(-7)^2 = 49$.

Step4: Sum squares

$(x_2 - x_1)^2+(y_2 - y_1)^2=49 + 49=98$.

Step5: Calculate distance

$d=\sqrt{98}\approx9.90$.

Answer:

$9.90$