Question

find the distance between point c and d. round your answer to the nearest tenth.
c (-1,4)
d (-3,-3)

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, for points $C(-1,4)$ and $D(-3,-3)$, $x_1=-1,y_1 = 4,x_2=-3,y_2=-3$.

Step2: Calculate differences

First, find $x_2 - x_1$ and $y_2 - y_1$. $x_2 - x_1=-3-(-1)=-3 + 1=-2$. $y_2 - y_1=-3 - 4=-7$.

Step3: Square the differences

$(x_2 - x_1)^2=(-2)^2 = 4$ and $(y_2 - y_1)^2=(-7)^2 = 49$.

Step4: Sum and square - root

$d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{4 + 49}=\sqrt{53}\approx7.3$.

Answer:

$7.3$