Question

question 3
what is the distance between the points (-5, 7) and (4, -9) rounded to the nearest whole number?
25 units
28 units
18 units
13 units

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: Substitute the given points

Let $(x_1,y_1)=(-5,7)$ and $(x_2,y_2)=(4,-9)$. Then $x_2 - x_1=4-(-5)=9$ and $y_2 - y_1=-9 - 7=-16$.

Step3: Calculate squared - values

$(x_2 - x_1)^2=9^2 = 81$ and $(y_2 - y_1)^2=(-16)^2=256$.

Step4: Sum the squared - values

$(x_2 - x_1)^2+(y_2 - y_1)^2=81 + 256=337$.

Step5: Calculate the distance

$d=\sqrt{337}\approx18.36$.

Step6: Round to the nearest whole number

Rounding $18.36$ to the nearest whole number gives $18$.

Answer:

18 units