Answer:
n = 6 +
or n = 6 - 
Step-by-step explanation:
We can solve this equation using the quadratic formula OR Completing the Square method.
n² + 14 = 12n
rearrange : n² - 12n + 14 = 0
here a= 1 , b = -12, c = 14
the quadratic formula says: x = - b/ (2a) + root(b^2 - 4ac) / (2a)
or x = - b/ (2a) - root(b^2 - 4ac) / (2a)
x = - (-12)/ (2) + root((-12)^2 - 4*14) / (2)
x = 6 + root (144 - 56) / 2
x = 6 + root(88)/2
x = 6 + root(4*22) / 2
x = 6 + 2*root(22)/2
x = 6 + root(22) = 6 + 
so x =6 +
or x = 6 - 
In this case x = n
n = 6 +
or n = 6 - 
Answer:
<h2>A horizontal translation and a 180° rotation only.</h2>
Step-by-step explanation:
Notice those shapes are positioned as a reflection.
So, one way to map them onto is self is by rotating 180° and a horizontal translation. Or it could work if we translate it horizontally, the we reflect it vertically. Those transformations would map the strip onto itself.
Therefore, the second choice is the best answer.
Answer:
Yes, they are equivalent.
Answer:
x=2.5 cups are needed for 2 pies
Step-by-step explanation:
4/5 or 0.8
Fraction form: 4/5x = 2 x= 5/4
Decimial form: 0.8x = 2 x = 2.5
Mixed number form: 2 1/2
Hope that helped :)