Answer:
Andy is incorrect
Step-by-step explanation:
[See attachment for complete question]
Andy is incorrect because of the following.
Filling the empty boxes with any real numbers does not guarantee that the expression will be a polynomial.
For instance, if the expression is completed as thus:
(5x⁴ + 4x³)(4x^(2.7981) - 6) = A
This expression is not a polynomial because all powers of x must be non negative and it must be an integer.
So, Andy's statement is incorrect
Answer:
STEP 3.) x = 9/8
Step-by-step explanation:
x + 5/8 = 7/4
x + 5/8 - 5/8 = 7/4 - 5/8
= x =9/8
The correct answer is D) ABCD ~ NMLK, and x=7.
Based on the way the polygons are marked, A corresponds with N, B corresponds with M, C corresponds with L and D corresponds with K. Using this, we set up a proportion:
12/8 = (5x+1)/(5x-11)
Cross multiplying, we have:
12(5x-11) = 8(5x+1)
Using the distributive property,
12*5x - 12*11 = 8*5x + 8*1
60x - 132 = 40x + 8
Subtract 40x from both sides:
60x - 132 - 40x = 40x + 8 - 40x
20x - 132 = 8
Add 132 to both sides:
20x - 132 + 132 = 8+132
20x = 140
Divide both sides by 20:
20x/20 = 140/20
x = 7
Since we are concerned with the area of the new recreation complex and are given with the scale factor, we square the given scale factor and multiply the answer with the original area.
new area = (600 yd²)(9²)
= 48,600 yd²
Thus, the new area is equal to 48,600 yd².
