Answer:
E. This polynomial could be factored by using grouping or the perfect squares methods.
Step-by-step explanation:
x^2 + 2x + 1
There is no greatest common factor
This is a perfect square
a^2 + 2ab+ b^2 = ( x+1)^2
We can factor this by grouping
x^2 + 2x + 1
(x^2 +x) + (x+1)
x( x+1) + x+1
Factor out x+1
( x+1) ( x+1)
This is not the difference of squares since there is no subtraction
1. Find the slope of the given line. Do this by solving <span>3x-7y+14=0 for m:
3x + 14 = 7y, which gives us m = 3/7.
2. Find the slope of a line perpendicular to this one. It's the negative reciprocal of m = 3/7, or -7/3.
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A.
If she will choose 8 from 12 photos, the total number of ways she can choose is given by a combination of 12 choose 8, since the order of the photos doesn't matter.
The formula for a combination of n choose p is:

For n = 12 and p = 8, we have:

So there are 495 ways.
B.
If she wants to arrange the 12 photos, the total number of ways is given by the factorial of 12:

There are 479,001,600 ways.
C.
Since 10 photos already have specific places, we need to calculate the number of ways to arrange the other two photos in the two remaining places.
In this case, there are only 2 ways of organizing the remaining two photos:
Photo 1 first, photo 2 last, or photo 1 last and photo 2 first.
C would be correct
Hope Your Thanksgiving Goes Well, Here's A Turkey
-TheKoolKid1O1
Answer:
percentage change= 500%
Step-by-step explanation:
After diet the weight reduced = 30 pounds
Before diet her weight = 180 pounds
percentage change = { (180 - 30) ÷ 30 } × 100
= ( 150 ÷ 30) × 100
= 5 × 100
= 500 %
∴percentage change= 500%