Answer:
![d \approx 13.5](https://tex.z-dn.net/?f=d%20%5Capprox%2013.5)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra II</u>
- Distance Formula:
![d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
Point E (9,0)
Point F (0, -10)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.
- Substitute [DF]:
![d = \sqrt{(0-9)^2+(-10-0)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%280-9%29%5E2%2B%28-10-0%29%5E2%7D)
- Subtract:
![d = \sqrt{(-9)^2+(-10)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-9%29%5E2%2B%28-10%29%5E2%7D)
- Exponents:
![d = \sqrt{81+100}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B81%2B100%7D)
- Add:
![d = \sqrt{181}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B181%7D)
- Evaluate:
![d = 13.4536](https://tex.z-dn.net/?f=d%20%3D%2013.4536)
- Round:
![d \approx 13.5](https://tex.z-dn.net/?f=d%20%5Capprox%2013.5)
The meaning of the horizontal asymptote for the given function is that;
The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses
We are told the increase in a person's body temperature above 98.6°F can be modeled by the function;
T(t) = 4t/(t² + 1)
Where;
t represents the time elapsed
Now, let us find a way to simplify the function so that t at the numerator is removed.
Thus, we will now have;
4t/(t² + 1) = 4/(t + (1/t))
To get the horizontal asymptote, we have to find the limit of the function as t approaches infinity.
Thus;
Lim t ➡ ∞ gives;
T(∞) = 4 × 1/(∞ + (1/∞))
T(∞) = 4 × 0
T(∞) = 0
This means that y = 0 is the horizontal asymptote of the function.
Thus, in conclusion The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses
Read more on horizontal asymptote at; brainly.com/question/8493280
Answer:
52^6 , there u go hopw this helps ask me anything u want im always here to help
Well 0.65 as a percentage is 65% which is 65/100. So in the simplest for it would be the highest number going into both which would be 5 and then divide both numbers by 5.
65/5=13
100/5=20
So the answer for this question would be 13/20
The binomial can be factored using the Difference of Squares;
a^2 - b^2 = (a + b)(a - b) where a = x and b = 10
(x + 10)(x - 10)
<u>Answer: C. x = 10, -10</u>