We will use the Cosine rule ( graph is in the attachment ):
c - the displacement
Angle: 90° + 45° = 135°
c² = a² + b² - 2 ab cos 135°
c² = 98² + 225² - 2 · 98 · 225 · ( -0.7071 )
c² = 9,604 + 50,625 + 31,183.11
c² = 91,412.11
c = √ 91,412.11
c = 302.344 km
It's C! Substitute f(x) for 8 to get 8=x/2+5 then subtract 5 from both sides to get 3=x/2 then multiply both sides by 2 to isolate x and you get 6=x!
Answer:
it is a Function
Step-by-step explanation:
because it doesnt fail the vertical test
Function transformation involves changing the form of a function
The equation that represents the function f(x) is ![f(x) = \sqrt[3] {x + 6} + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%20%7Bx%20%2B%206%7D%20%2B%201)
<h3>How to determine the equation</h3>
The parent cube root function is:
![y = \sqrt[3] {x}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%20%7Bx%7D)
When the function is translated 6 units left, the equation of the function becomes
![y = \sqrt[3] {x + 6}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%20%7Bx%20%2B%206%7D)
Next, the function is translated 1 unit up.
So, the equation of the function becomes
![y = \sqrt[3] {x + 6} + 1](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%20%7Bx%20%2B%206%7D%20%2B%201)
Express as a function
![f(x) = \sqrt[3] {x + 6} + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%20%7Bx%20%2B%206%7D%20%2B%201)
Hence, the equation that represents the function f(x) is ![f(x) = \sqrt[3] {x + 6} + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%20%7Bx%20%2B%206%7D%20%2B%201)
Read more about function transformation at:
brainly.com/question/1548871