Answer:
AP= 12
Step-by-step explanation:
Here is the complete question: If the length of AB=12, what is the length of AP? picture attached.
Given: AB= 12
∠APB= 60°
Remember; sum of all angle of triangle is equal to 180°.
We can look at picture, where two side of triangle is radius of circle.
∴ Angle of two side will also be same for the isosceles triangle.
Lets assume the unknow angle of the triangle be "x".
Now, 
⇒ 2x+60= 180
subtracting both side by 60
⇒ 
∴ 
As now we have all the angle of triangle is 60° (equilateral triangle)
∴ All the side will be same, which is 12
Hence, AP= 12.
Answer:
an = 4n +5
Step-by-step explanation:
First we need to find a common difference
d = a2-a1 = 13-9 = 4
The formula for an
an =a1+d(n-1)
an = 9 + 4(n-1)
Distributing
an = 9+4n-4
Combine like terms
an = 4n +5
At x=2, y=4
At x=4, y=16
So the total change in y from x=2 to x=4 is 16-4=12
And since average rate of change = total change in y divided by total change in x within the same period, therefore the answer is 12/2 = 6
Hope that helps. Let me know if you have any questions.
Answer:
Un = -n²
Step-by-step explanation:
Un = -n²
it's a quadratic term but with minus sign, just it
U1 = -1² = -1
U2 = -2² = -4 and so on