Answer:
C. 15.6
Step-by-step explanation:
Perimeter of WXYZ = WX + XY + YZ + ZW
Use the distance formula,
to calculate the length of each segment.
✔️Distance between W(-1, 1) and X(1, 2):
Let,


Plug in the values





✔️Distance between X(1, 2) and Y(2, -4)
Let,


Plug in the values





✔️Distance between Y(2, -4) and Z(-2, -1)
Let,


Plug in the values





✔️Distance between Z(-2, -1) and W(-1, 1)
Let,


Plug in the values





✅Perimeter = 2.24 + 6.08 + 5 + 2.24 = 15.56
≈ 15.6
Given:
Current population = x
The population of a city is expected to decrease by 6% next year.
To find:
The expression that represents the expected population next year.
Solution:
We have,
Current population = x
Decrease rate = 6%.
Expected population next year = Current population - 6% of Current population
=
=
=
Therefore, the expression for the expected population next year is 0.94x.
Answer:
x • (x^3 - 3x^2y + 3xy^2 + 7y^3)
Step-by-step explanation:
(8x • (y^3)) + x • (x - y)^3
2^3xy^3 + x • (x - y)^3
Evaluate : (x-y)^3 = x^3-3x^2y+3xy^2-y^3
Pull out like factors :
x^4 - 3x^3y + 3x^2y^2 + 7xy^3 =
x • (x^3 - 3x^2y + 3xy^2 + 7y^3)
x^3 - 3x^2y + 3xy^2 + 7y^3 is not a perfect cube