Question

find the length of bc. round to the nearest tenth. (use distance formula)
b(-1,3)
a(-4,1)
c(3,1)
d(1,-1)

a. 3.6
b. 4.5
c. 5.4
d. 2.8

Explanation:

Step1: Identify the 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: Identify the coordinates of points B and C

For points B(-1,3) and C(3,1), we have $x_1=-1,y_1 = 3,x_2=3,y_2 = 1$.

Step3: Substitute the values into the distance formula

$d=\sqrt{(3-(-1))^2+(1 - 3)^2}=\sqrt{(3 + 1)^2+(1 - 3)^2}=\sqrt{4^2+(-2)^2}=\sqrt{16 + 4}=\sqrt{20}$.

Step4: Simplify and round

$\sqrt{20}\approx4.5$ (rounded to the nearest tenth).

Answer:

b. 4.5