Note the order of the letters:
A C E G
M N P R
You read it like this:
A ≅ M
C ≅ N
CE ≅ NP
AG ≅ MR
... and so on
In the following choices:
CE ≅ NP is the true statement
115 would be your answer because 180-65=115
The answer is <span>c. 16x2 + 24xy + 9y2.
Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.
So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²
Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x
b² = 9y²
b² = (3y)²
b = 3y
a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT
d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x
b² = 10y²
b² = (y√10)²
b = y√10
a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT
So, c) is correct answer
It is 100. There is many ways to find this answer. One way would be to divide 1000 by 10 to get a 100. Another way is to take the decimal form of 1/10 which is .10 and times it by 1000 to get 100.
The exponent only applies to the x not the 4
so only the x has permission to move to the denominator
this leaves you with 4/x^3
