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Cloud [144]
3 years ago
12

What is the midpoint of FB​

Mathematics
1 answer:
Darya [45]3 years ago
7 0

Answer:

3. 15. . 16..

<h2><em><u>If</u></em><em><u> this</u></em><em><u> answer</u></em><em><u> helps</u></em><em><u> you</u></em><em><u> plz</u></em><em><u> mark</u></em><em><u> as</u></em><em><u> brainlist</u></em><em><u>.</u></em><em><u>.</u></em></h2>

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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
For two independent​ events, A and​ B, ​P(A)equals . 3 and​P(B)equals . 2 . a. Find ​P(Aintersect ​B). b. Find​ P(A|B). c. Find
Gnoma [55]

Answer:

a) 0.06

b) 0.3

c) 0.44                                        

Step-by-step explanation:

We are given the following in the question:

A and B are two independent events.

P(A) = 0.3

P(B) = 0.2

a) P(A intersect ​B)

P(A\cap B) = P(A)\times P(B) = 0.3\times 0.2 = 0.06  

b) P(A|B)

P(A|B) = \dfrac{P(A\cap B)}{P(B)} = \dfrac{0.06}{0.2} = 0.3

c) P(A union ​B)

P(A\cup B) = P(A) + P(B) - P(A\cap B)\\P(A\cup B) = 0.3 + 0.2 - 0.06 = 0.44

3 0
3 years ago
Enter the number that belongs in the green box.
lilavasa [31]

the answer is 12.8 because

both of these equations added together make a straight line, or 180 degrees

so we have to put them together: 7x+8x-12=180

and we just solve for x

5 0
4 years ago
Read 2 more answers
Divide £700 in the ratio 6:4 (2 marks)
SpyIntel [72]

Answer:

One num = 6x = 6 x 70 = 420

Second= 4x = 4 x 70 = 280

Step-by-step explanation:

6x + 4x = 700

10x = 700

x = 700/10 = 70

One num = 6x = 6 x 70 = 420

Second= 4x = 4 x 70 = 280

I hope im right!

7 0
3 years ago
please help!!!! 10 points!!!!! I’ve been trying to figure this out for 45 mins now and still haven’t been able to :(
7nadin3 [17]
What does this mean I’m confused
7 0
3 years ago
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