Answer:
2
Step-by-step explanation:
The slope (m) can be found using the formula ...
m = ∆y/∆x = (y2 -y1)/(x2 -x1)
= (1 -(-5))/(4 -1) = 6/3
m = 2
The slope of the line is 2.
Answer:
90π cm²
Step-by-step explanation:
Given: Radius of circular base= 5 cm
height= 12 cm
Now finding the surface of cone.
Formula; Surface area of cone= 
Where; r= radius
l= slant height
B is the area of base, which is circle.
Area of circle (B)= πr²
Area of circle (B)= 
∴ Area of circle (B)= 
Finding slant height (l)
Formula; 
⇒l = 
∴ l= 
Next, using the formula for finding surface area of cone.
Surface area of cone= 
⇒ Surface area of cone= 
∴ Surface area of cone= 90π cm²
For f(x), when x=1, y=1, and when x=2, y=4. Since the graphs are both quadratic, you can assume f(x)=x².
For g(x), when x=2, y=1, and when x=4, y=4. So g(x)=(x²)÷4.
Now it's a given that g(x) is equivalent to f(k*x), so we can say
(x²)/4=(kx)²
4kx²=x²
k=1/4