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3 years ago

Which shape has only one pair of parallel sides? A. rectangle B. triangle C. trapezoid D. rhombus

Mathematics

2 answers:

spin [16.1K]3 years ago

5 0

I would most likely go with C.

Ivan3 years ago

4 0

Quadrilateral - and the answer is trapezoids

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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

Please solve~I give brainliest! 1. 2x-5<1 2. 3x+7<16

NeTakaya

Answer:

1. x<3

2. x<3

Step-by-step explanation:

2x-5<1

Move constant to the right side and change its sign

2x<1+5

Add the Numbers

2x<6

Divide both sides of the inequality by 2

x<3

3x+7<16

Move constant to the right side and change its sign

3x<16-7

Subtract the numbers

3x<9

Divide both sides of the inequality by 3

x<3

4 0

3 years ago

Select the correct answer from each drop-down menu. Graph the function . The vertex of the graph is at ___. The direction in whi

neonofarm [45]

Answer:

can you give me the drop what are the options

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3 years ago

Bob is driving along a straight and level road toward a mountain. At some point on his trip, he measures the angle of elevation

Leona [35]

Tan 21 44 = h / 13428.7
h = 13428.7 * tan 21 44

Height = 5353 feet

3 0

3 years ago

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Y divided by seven plus 6 equals 11

anygoal [31]

You answer should be y=35 let my know if I’m wrong hope this helps☺️

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3 years ago

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