Answer:
Slope of a tangent to the curve = 
Step-by-step explanation:
Given - y = 1/x+1
To find - Identify each expression that represents the slope of a tangent to the curve y=1/x+1 at any point (x,y) .
Proof -
We know that,
Slope of tangent line = f'(x) = 
We have,
f(x) = y = 
So,
f(x+h) = 
Now,
Slope = f'(x)
And

∴ we get
Slope of a tangent to the curve = 
The area of a sector is given by
.. A = (1/2)r^2*θ . . . . . θ is the central angle in radians
The area of an isosceles triangle with legs length r is
.. A = (1/2)r^2*sin(θ) . . . θ is the angle between same-length legs
The shaded area is the difference between these
.. A = (1/2)r^2*(θ -sin(θ))
.. = (1/2)*(18.6 m)^2*(π*123/180 -sin(123°))
.. ≈ 226.3 m^2
Answer:
X= -3/4
Step-by-step explanation:
8x + 6 = 0
subtract -6 from both sides
8x = -6
divide 8 from both sides
x = -6/8
Simplify!
x= -3/4
Answer:
a) B
b) draw a closed circle right before 0.1 (where 0.083 would be)
c) 1/12
Answer: x = 21; y = 29.5
because 2y° and 59° are 2 opposing angles ⇒ 2y° = 59° ⇔ y = 29.5°
we also have: (3x - 4)° = 59° ( because of 2 parallel lines)
⇔ 3x = 59 + 4 = 63
⇔ x = 63/3 = 21
Step-by-step explanation: