Answer:
x² - 6x + 9
Step-by-step explanation:
(x - 3)²
= (x - 3)(x - 3)
Each term in the second factor is multiplied by each term in the first factor
= x(x - 3) - 3(x - 3) ← distribute both parenthesis
= x² - 3x - 3x + 9 ← collect like terms
= x² - 6x + 9 ← in standard form
Answer:
D
Step-by-step explanation:
Answer:
We conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.
Step-by-step explanation:
We know that the perimeter of a rectangle = 2(l+w)
i.e.
P = 2(l+w)
Here
Given that the length and width of the playground by a scale factor of 2
A scale factor of 2 means we need to multiply both length and width by 2.
i.e
P = 2× 2(l+w)
P' = 2 (2(l+w))
= 2P ∵ P = 2(l+w)
Therefore, we conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.
Answer:
There are 25 chickens and 20 rabbits
Step-by-step explanation:
Let
x-----> the number of chickens
y ----> the number of rabbits
Remember that
1 chicken has two legs
1 rabbit has four legs
so
2x+4y=130 -------> equation A
x=y+5 -----> equation B
Substitute equation B in equation A and solve for y
2(y+5)+4y=130
2y+10+4y=130
6y=120
y=20 rabbits
Find the value of x
x=y+5
x=20+5=25 chickens