Just plug in 3 for n and then 5 for n to see if an turns out to be 10 and 26.
n=3:
A) an = 8*3+10 = 34
B) an = 8*3 - 14 = 10 OK
C) an = 16*3+10 = 58
D) an = 16*3 - 38 = 10 OK
n=5:
B) an = 8*5-14 = 26 OK
D) an = 16*5 - 38 = 42
So the answer is B
A) The dimensions are (x+10) by (x+10).
B) The perimeter is given by 4x+40.
C) The perimeter when x is 4 is 56.
The quadratic can be factored by finding factors of c, the constant, that sum to b, the coefficient of x. Our c is 100 and our b is 20; we want factors of 100 that sum to 20. 10*10=100 and 10+10=20, so those are what we need. This gives us (x+10)(x+10 for the factored form.
Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10). Using the distributive property we have 4*x+4*10=4x+40.
To find the perimeter when x=4, substitute 4 into our perimeter expression:
4*4+40=16+40=56.
Answer:
x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x−1−1=x−3−(−5+x)
2x−1−1=x−3+−1(−5+x)(Distribute the Negative Sign)
2x−1−1=x+−3+(−1)(−5)+−1x
2x−1−1=x+−3+5+−x
2x+−1+−1=x+−3+5+−x
(2x)+(−1+−1)=(x+−x)+(−3+5)(Combine Like Terms)
2x+−2=2
2x−2=2
Step 2: Add 2 to both sides.
2x−2+2=2+2
2x=4
Step 3: Divide both sides by 2.
2x
2
=
4
2
x=2
