Answer:
Step-by-step explanation:
<u>Figure 1</u>
<u>Figure 2</u>
<u>Figure 3</u>
<u>Equation for nth term</u>
- (n + 1)^2 - 2 =
- n^2 + 2n + 1 - 2 =
- n^2 + 2n - 1
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Step-by-step explanation:
The given is,
a = 5
b = x - 1
c = x
Step:1
Pythagorean theorem is,
................................(1)
( It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )
From the given values the equation (1) becomes,

(
)
25 + (
+ 1 - 2x ) = 
25 + 1 -2x = 0 ( ∵ Eliminate
in both sides)
26 = 2x
x = 13
Step:2
From the values of x,
a = 5
b = ( 13 - 1 ) = 12
c = 13
Result:
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Answer: Linear
Step-by-step explanation: A linear function can have different rates of change over different intervals.
(I don't know if this is correct, but this is my understanding of it.)
Answer:
E) 1/2
Step-by-step explanation:
This is no ordinary problem. It actually requires you to solve two different problems in order to figure out the correct answer.
First, we must figure out what the hypotenuse of the triangle is. We have the two small sides (5 and 12), but don't have the larger side. To find this, we must use the Pythagorean theorem: 
Let's plug in our a and b values

Simplify


Square both sides

But sadly, we aren't done yet. Now we know the length of the whole hypotenuse side. Time to figure out what X is by a simple equation.

Simplify

Divide by 26
Answer is 1/2
Factor the following:
x^2 - 16 x + 63
The factors of 63 that sum to -16 are -7 and -9. So, x^2 - 16 x + 63 = (x - 7) (x - 9):
Answer: (x - 7) (x - 9)