Answer: (3x + 11y)^2
Demonstration:
The polynomial is a perfect square trinomial, because:
1) √ [9x^2] = 3x
2) √121y^2] = 11y
3) 66xy = 2 *(3x)(11y)
Then it is factored as a square binomial, being the factored expression:
[ 3x + 11y]^2
Now you can verify working backwar, i.e expanding the parenthesis.
Remember that the expansion of a square binomial is:
- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2
=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.
Answer:
188976
Step-by-step explanation:
2032 x 93 = 188976
Z = -2/3a
divide by -2/3 on both sides
a = z divided by -2/3
a = -3/2z
Answer:
Distance: 25 miles
Step-by-step explanation:
we have distances between cities as follows:
From Portland to Tacoma: 120 miles
from Portland to Seattle: 145 miles
120+x=145 ⇒ x = 145 - 120 = 25 miles
from Tacoma to Seattle : 25 miles (according graph)
Answer:
AB = 32 ft
Step-by-step explanation:
If you rotate Triangle ECD 180 degrees clockwise, you will see that the sides line up perfectly with Triangle BCA, meaning that ED = AB and ED = 32 (transitive property of equality) so AB must also equal 32.
