Answer:
y=2x+14
Step-by-step explanation:
y=mx+b
hope its right
Answer:
1/(x^3 + 6x^2 + 12x + 8)
Step-by-step explanation:
The first thing we do is rationalize this expression. (2+x)^-3 is written as
1/(2+x)^3
Then from there we can foil out the denominator. It is easiest to foil (2+x)(2+x) first and then multiply that product by (2+x).
(2+x)(2+x) = 4 + 4x + x^2
(4+4x+x^2)(2+x) = 8+8x+2x^2+4x+4x^2+x^3.
Then we combine like terms and put them in order to get:
x^3 + 6x^2 + 12x + 8
And of course we can't forget that this was raised to the negative third power, so our answer is 1/(x^3 + 6x^2 + 12x + 8)
9514 1404 393
Answer:
32
Step-by-step explanation:
The first term is 5 and the common difference is 9-5=4, so the n-th term is ...
an = a1 +d(n -1)
an = 5 +4(n -1) = 4n +1
Then the term number for the term 129 is ...
129 = 4n +1 . . . . . put the given value in the formula
128 = 4n . . . . . . . subtract 1
32 = n . . . . . . . . . .divide by 4
The 32nd term is 129.
<h3>
Answer is ED</h3>
note: ED is the same as DE. The order of the segment letters does not matter.
============================================
Explanation:
In the sequence ABC, the letter B is the second letter and A is the first.
So the corresponding segment to BA will have its first slot be the second letter of DEF, and its second slot be the first letter of DEF. That's how I'm getting ED for the answer. It is the same as DE because it's the same segment.
The corresponding sides are congruent due to the CPCTC which stands for "corresponding parts of congruent triangles are congruent".