Answer:
9x² -6xy +y²
Step-by-step explanation:
The square of the binomial can be written directly using the relationship ...
(a +b)² = a² +2ab +b²
where you have a=3x and b=-y.
area = (3x -y)² = (3x)² + 2(3x)(-y) + (-y)²
area = 9x² -6xy +y²
The answer is A. 17 cm, 5 cm, 13 cm
For the triangle:
a+b > c
b+c > a
a+c > b
Check all choices:
<span>A. 17 cm, 5 cm, 13 cm
a = 17
b = 5
c = 13
17+5 = 22
22 > 13
5+13= 18
18 > 17
17+13=30
30>5
If you check other choices, you will see they are incorrect.</span>
Answer: Option A, the square root of 40, is an irrational number.
Step-by-step explanation:
We are given 4 options:
- the sqrt of 40
- the sqrt of 49
- the sqrt of 100
- the sqrt of 9
All but one are perfect squares. Let's find out which one is not a perfect square.
The sqrt of 49 is 7. 7 times 7 is equal to 49.
The sqrt of 100 is 10. 10 times itself is equal to 100.
The sqrt of 9 is 3. 3 times 3 is equal to 9.
What about the square root of 40?
We know it's not a perfect square, and it's somewhere between 6 and 7. So, the hint from the question tells us that imperfect squares are irrational. Then this must be the answer!
6 possible ways to order 3 couples in a row
Given,
We have three married couples. that is six persons in total.
a, b, c, d, e, f may taken as the six persons.
Considering the statement:
Elder partner on the left, assume a, c and e as elders.
Then we have, (a, b) ------ ( 1)
(c, d) ------ (2)
(e, f) ------ (3)
There is no change in position between the couples.
So, we get three persons in total.
Possible ways to order these three persons will be like this: 3! = 3×2×1
= 6
Learn more about seating arrangement here ; brainly.com/question/10702719
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