Lamar used a coordinate plane to show where his posters are displayed on his bedroom wall. Three posters are located at Q(4, 2), R(–3, 2), and S(–3, 5). Use the absolute value of the coordinates to find the distances between points Q and R, and between points R and S.

Distance between the points Q and R is 1 unit while the distance between the points R and S is 3 units

Step-by-step explanation:

Here, we want to use the absolute value of the coordinates to find the distances.

Since we are using absolute values, the negative points becomes positive;

Thus;

Q = (4,2)

R = (3,2)

S = (3,5)

Mathematically, the distance between two points in the Cartesian plane can be calculated using the formula;

D = √(x2-x1)^2 + (y2-y1)^2

The distance QR is thus;

D = √(3-4)^2 + (2-2)^2

D = √(-1)^2 + 0

D = √1 = 1 unit

The distance RS is thus;

D = √(3-3)^2 + (5-2)^2

D = √(0) + (9)

D = √9 = 3 units

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm