The bottom of a rectangular swimming pool has a perimeter of 60 meters and an area of 209 square meters. What are the dimensions of the pool?

Width = 11, Length = 19 m.

Step-by-step explanation:

Let the width be w and the length be l.

The perimeter = 60 , so:

2w + 2l = 60 A.

The area = 209, so:

wl = 209B.

From equation A:

w = (60 - 2l)/2

w = 30 - l

Substitute for  w in equation B:

l(30 - l) = 209

30l - l^2 = 209

l^2 - 30l + 209 = 0

l = 19 , 11.

Substitute l = 19 in equation A:

w = 30 - 19 = 11.

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)