Question

Riko wants to find the distance between the points (−2, −3) and (2, −5). His work is shown.
StartAbsoluteValue negative 3 EndAbsoluteValue + StartAbsoluteValue negative 5 EndAbsoluteValue = 3 + 5 = 8. The distance is 8 units.
Riko correct? Explain why or why not.

Answer 1

Riko's answer is incorrect because the distance between the two points is $\sqrt{20}$ units.

Explanation:

Given that the two points are (-2,-3) and (2,5)

We need to find the distance between the two points.

Distance:

The distance between the two points can be determined using the distance formula,

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substituting the coordinates (-2,-3) and (2,5) in the above formula, we get,

$d=\sqrt{(2+2)^2+(-5+3)^2}$

$d=\sqrt{(4)^2+(-2)^2}$

$d=\sqrt{16+4}$

$d=\sqrt{20}$

Thus, the distance between the two points is $\sqrt{20}$

Also, given that Riko found the distance between the two points is 8 units.

Hence, Riko's answer is wrong and the distance between the two points is $\sqrt{20}$ units.

Learn more:

(1) Find the distance of the point (1,2)from the mid point of the line segment joining the points (6,8), (2,4).

brainly.in/question/1681005

(2) Find the distance between (2,3,5)and (4,3,1)

brainly.in/question/3701100

Answer 2

Answer:

Sample Response: No, Riko is not correct. The points do not have the same x-coordinates. If you connect the points, they do not form a horizontal or vertical line, so you cannot count spaces or use absolute value to find the distance.

Step-by-step explanation: