Answer:
The value of the Rational expression when 
is: 
Step-by-step explanation:
For this exercise is important to remember:
- When a negative number is raised to an even power, the result will be positive.
- The multiplication of signs:
Then, given the following Rational expression:
You need to follow these steps in order to find its value when :
1. Substitute the given value of "x" (
) into the expression:
2. Evaluate and simplify:
Answer:
distance across the pond: 13 yd
distance walked by Garret: 12 yd
Step-by-step explanation:
Data:
- distance across the pond: x yd
- distance walked by Sandy: 5 yd
- distance walked by Garret: x-1 yd
A right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:
x² = 5² + (x-1)²
x² = 25 + x² - 2x + 1
0 = 26 - 2x
x = 13
Answer:
b,b.a
Step-by-step explanation:
For this case we have the following sequence:
0.8
3.2
12.8
51.2
This sequence can be written as:
0.8 = 0.2 * 4 = 0.2 * 4 ^ 1
3.2 = 0.2 * 16 = 0.2 * 4 ^ 2
12.8 = 0.2 * 64 = 0.2 * 4 ^ 3
51.2 = 0.2 * 256 = 0.2 * 4 ^ 4
Therefore, we have that the generic expression for this case is:
an = 0.2 * 4 ^ n
Then, the next number is then:
a5 = 0.2 * 4 ^ 5 = 0.2 * 1024 = 204.8
answer
the next number in the pattern is 204.8
