Answer: The distance is sqrt(40).
Step-by-step explanation:
Let's use the Pythagorean Theorem (a^2 + b^2 = c^2)
(Look at the image I attached)
Let's set a = 2 and b = 6. The mystery side is c, which is opposite to the right angle that is formed when you draw perpendicular lines from each of the points.
(2)^2 + (6)^2 = c^2 <--- First, we need to simplify
4 + 36 = c^2
40 = c^2 <--- Now, we need to take the square root of both sides.
c = sqrt(40)
So, the distance between (5, -4) and (-1, -2) is sqrt(40). I recommend looking at some videos on Khan Academy if you need more help! Let me know if you want me to attach a link that you can visit.
Answer:
Step-by-step explanation:
h x 3 (cost hourly)+ 5 (entrance fee) = price
Answer:
g(x) = x²
The graph of g(x) is the same with the graph of f(x)
Step-by-step explanation:
* Lets explain how to solve the problem
- If the function f(x) reflected across the x-axis, then the new
function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new
function g(x) = f(-x)
* Lets solve the problem
∵ The parent function f(x) = x² is represent by upward parabola
with vertex (0 , 0) (red graph in the attached picture)
∵ f(x) is reflected across the y-axis
- As the rule above reflection across the y-axis change the sign of x
∴ g(x) = f(-x)
∵ f(x) = x²
∴ g(x) = (-x)²
- Remember (-ve)^even number = (+ve)
∴ (-x)² = x²
∴ g(x) = x²
- The function g(x) is represent by upward parabola with vertex
(0 , 0) (black graph in the attached picture)
∴ The graph of g(x) is the same with the graph of f(x)
- The red graph and the black graph are coincide
Answer:
(x+4) (x-1).
Step-by-step explanation:
Hope this helps!
Answer:
3.14159265359 or 3.14
Step-by-step explanation: