Question

transformations: tutorial
type the correct answer in each box. if necessary, round any decimal to the nearest tenth.
ab = \\(\square\\) units
bc = \\(\square\\) units
ac = \\(\square\\) units

Explanation:

Step1: Identify coordinates of points

Points: $A(-7, 2)$, $B(1, 2)$, $C(5, 0)$

Step2: Calculate $AB$ (horizontal distance)

Subtract x-coordinates: $AB = |1 - (-7)| = 8$

Step3: Calculate $BC$ via distance formula

Distance formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
$BC = \sqrt{(5-1)^2+(0-2)^2} = \sqrt{16+4} = \sqrt{20} \approx 4.5$

Step4: Calculate $AC$ via distance formula

$AC = \sqrt{(5-(-7))^2+(0-2)^2} = \sqrt{144+4} = \sqrt{148} \approx 12.2$

Answer:

$AB = 8$ units
$BC = 4.5$ units
$AC = 12.2$ units