9514 1404 393
Answer:
arc AC = 63°
Step-by-step explanation:
Arc BC is twice the measure of inscribed angle BAC, so is ...
arc AC = 2×89° = 178°
The remaining arc of the circle is the difference between 360° and the sum of the other two.
arc AC = 360° -119° -178°
arc AC = 63°
Answer:
The function is polynomial with the following characteristics
Degree: 5 and leading coefficient: -13.
Step-by-step explanation:
You can see the explanation in the image.
I will like to mention that the question is a little obscure, and the explanation applies for the following function:
![f(x) = -13x^{5} -4x^{4} -1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-13x%5E%7B5%7D%20-4x%5E%7B4%7D%20-1)
You always have to choose the highest power of x, in order to find the leading term.
The equivalent expression for (x + 4)^5 is ![x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024](https://tex.z-dn.net/?f=x%5E5%2B%2020x%5E4%2B%20160x%5E3%20%2B%20640x%5E2%20%2B%201280x%20%20%2B%201024)
The expression is given as:
![(x + 4)^5](https://tex.z-dn.net/?f=%28x%20%2B%204%29%5E5)
To expand the expression, we make use of Pascal triangle, where:
5:= 1 5 10 10 5 1
So, we have:
![(x + 4)^5 = 1 * x^5 * 4^0 + 5 * x^4 * 4^1 + 10 * x^3 * 4^2 + 10 * x^2 * 4^3 + 5 * x * 4^4 + 1 * x^0 * 4^5](https://tex.z-dn.net/?f=%28x%20%2B%204%29%5E5%20%3D%201%20%2A%20x%5E5%20%2A%204%5E0%20%2B%205%20%2A%20x%5E4%20%2A%204%5E1%20%20%2B%2010%20%2A%20x%5E3%20%2A%204%5E2%20%2B%2010%20%2A%20x%5E2%20%2A%204%5E3%20%2B%205%20%2A%20x%20%2A%204%5E4%20%2B%201%20%2A%20x%5E0%20%2A%204%5E5)
Evaluate the exponents
![(x + 4)^5 = 1 * x^5 * 1 + 5 * x^4 * 4 + 10 * x^3 * 16 + 10 * x^2 * 64 + 5 * x * 256 + 1 *1 * 1024](https://tex.z-dn.net/?f=%28x%20%2B%204%29%5E5%20%3D%201%20%2A%20x%5E5%20%2A%201%20%2B%205%20%2A%20x%5E4%20%2A%204%20%2B%2010%20%2A%20x%5E3%20%2A%2016%20%2B%2010%20%2A%20x%5E2%20%2A%2064%20%2B%205%20%2A%20x%20%2A%20256%20%2B%201%20%2A1%20%2A%201024)
Evaluate the products
![(x + 4)^5 = x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024](https://tex.z-dn.net/?f=%28x%20%2B%204%29%5E5%20%3D%20x%5E5%2B%2020x%5E4%2B%20160x%5E3%20%2B%20640x%5E2%20%2B%201280x%20%20%2B%201024)
Hence, the equivalent expression for (x + 4)^5 is ![x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024](https://tex.z-dn.net/?f=x%5E5%2B%2020x%5E4%2B%20160x%5E3%20%2B%20640x%5E2%20%2B%201280x%20%20%2B%201024)
Read more about binomial expressions at:
brainly.com/question/13602562