The common denominator is 2
9(x + 1)^4 - 19(x + 1)^2 + 2 = 0
After expanding and re-factoring, we have:
(3x + 2)(3x + 4)(x^2 + 2x - 1) = 0
solutions are x = -2/3, x = -4/3, x = -1 - sqrt(2), x = sqrt(2) - 1
Answer:
Page number 27 is the one whose order has not changed
Step-by-step explanation:
Sophia can make 12 cakes and 4 loaves of bread.
The right answer is Option A.
Step-by-step explanation:
Given,
White flour used for one loaf of bread = 1/2 pound
White flour available = 2 pounds
Cake flour used to make one cake = 1/4 pound
Cake flour available = 3 pounds
We will divide the available amount by the amount used for one.
No. of loaves of bread = 
No. of loaves of bread = 4
No. of cakes = 
No. of cakes = 12
Therefore,
Sophia can make 12 cakes and 4 loaves of bread.
The right answer is Option A.
The distance formula is: d = sqrt( (x2 - x1)2 + (y2 - y1)2 )
For this problem, let (-5, -4) be the "first" point, so x1 = -5 and y2 = -4
and let (-6, 4) be the "second" point, so x2 = -6 and y2 = 4.
Then: d = sqrt( (-6 - -5)2 + (4 - -4)2 ) = sqrt( (-1)2 + (8)2 ) = sqrt( 1 + 64 ) = sqrt( 65)
The distance formula is just the Pythagorean Theorem applied to an x-y graph.
You would get the same final answer if you let (-5, -4) be the second point and (-6, 4) be the first point.
