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Sergio [31]
3 years ago
8

PLZZZ HELP DUE IN 10 minutes

Mathematics
1 answer:
Kobotan [32]3 years ago
3 0
Number 2 is right triangle cuz is less than 90
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Identify each expression that represents the slope of a tangent to the curve y=1/x+1 at any point (x,y) .
tankabanditka [31]

Answer:

Slope of a tangent to the curve = f'(x) = \frac{-1 }{(x+1)^{2} }

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) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}

We have,

f(x) = y = \frac{1}{x+1}

So,

f(x+h) = \frac{1}{x+h+1}

Now,

Slope = f'(x)

And

f'(x) =  \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}  \\= \lim_{h \to 0} \frac{\frac{1}{x+h+1}  - \frac{1}{x+1} }{h}\\= \lim_{h \to 0} \frac{x+1 - (x+h+1) }{h(x+1)(x+h+1)}\\= \lim_{h \to 0} \frac{x +1 - x-h-1 }{h(x+1)(x+h+1)}\\= \lim_{h \to 0} \frac{-h }{h(x+1)(x+h+1)}\\= \lim_{h \to 0} \frac{-1 }{(x+1)(x+h+1)}\\=  \frac{-1 }{(x+1)(x+0+1)}\\=  \frac{-1 }{(x+1)(x+1)}\\=  \frac{-1 }{(x+1)^{2} }

∴ we get

Slope of a tangent to the curve = f'(x) = \frac{-1 }{(x+1)^{2} }

6 0
3 years ago
Anyone know the answer?
Marrrta [24]
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
4 0
4 years ago
What does 8x + 6 equal?
Serggg [28]

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

4 0
4 years ago
Read 2 more answers
HELP ITS DUE TMMR !!!!
pentagon [3]

Answer:

a) B

b) draw a closed circle right before 0.1 (where 0.083 would be)

c) 1/12

6 0
3 years ago
I'm not really understanding how to set this up​
____ [38]

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:

4 0
3 years ago
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