4. Here you would use the Pythagorean Theorem. a² + b² = c²
In this case a and b are the same, so : a² + a² = c² would also work.
a = 5√2 so: (5√2)² + (5√2)² = c²
Do you know where to go from here?
For this case we have to evaluate the following expression,
We must follow the steps below:
We convert the mixed number into a fraction:
We multiply the fractions, taking into account that:
We simplify:
We convert to mixed number:
Answer:
Answer:
-5x+2
Step-by-step explanation:
1. Multiply number 2 and 2=4 so it is
4-5x-2
2. Combine like terms
-5x+4-2
3. Subtract the numbers
-5x+2
Do (4^9)^5 first, when an exponent is in a parenthesis with another exponent outside, you multiply them which makes 4^45. Then we multiply 4^0 but this time we add the exponent because there’s no parentheses, which gives you 4^45.
The value of the function h(x + 1) is -x^2 - x + 1
<h3>How to evaluate the function?</h3>
The equation of the function is given as:
h(t) =-t^2 + t + 1
The function is given as:
h(x + 1)
This means that t = x + 1
So, we substitute t = x + 1 in the equation h(t) =-t^2 + t + 1
h(x + 1) =-(x + 1)^2 + (x + 1) + 1
Evaluate the exponent
h(x + 1) =-(x^2 + 2x + 1) + x + 1 + 1
Expand the brackets
h(x + 1) = -x^2 - 2x - 1 + x + 1 + 1
Evaluate the like terms
h(x + 1) = -x^2 - x + 1
Hence, the value of the function h(x + 1) is -x^2 - x + 1
Read more about functions at:
brainly.com/question/1415456
#SPJ1
<u>Complete question</u>
Consider the following function definition, and calculate the value of the function
h(t) = −t2 + t + 1 h(x + 1)
