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:
2/3
Step-by-step explanation:
Divide 5/6 by 5/4
Find the Reciprocal of 5/4
5/6 times 4/5
5/3 time 2/5
10/15
2/3
Question author, it's spelled pi not pie, and we use just use the Greek letter π. Students, demand better from your teachers.
1. Rectangular prism, aka a box. Volume is length times width times height.
V = 5×7×9 = 315 cubic feet
That's cubic feet of course, the product of three lengths. We didn't even need to do the problem, just look for the common answer and pick the one with the right units. I just saw that same pattern in a volume problem yesterday.
Answer: 315 cubic feet, first choice
2. Cylinder, volume is base area times height, πr²h. We have a radius of r=14/2=7 yd and h=8 yd. We're using π=3.14.
V = πr²h = 3.14(7²)(8) = 1230.88 cubic yds
Answer: 1230.9 cubic yards, last choice
Answer:
PR corresponds to TR.
Step-by-step explanation:
Its the second choice:
PR corresponds to TR.
This is because they are opposite equal angles ( < Q and <S).
