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Karolina [17]
3 years ago
6

Help asap please!! <3

Mathematics
2 answers:
photoshop1234 [79]3 years ago
7 0

1. 10 %

2. 15%

3. 10 % to 15%

4. 10 %

5. 10%

andrezito [222]3 years ago
3 0
Here u go hajsjsjsnkakalzkdnjajxb

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Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distanc
In-s [12.5K]

Answer:

\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

L^2 = y^2 + x^2

\implies L = \sqrt{y^2 + x^2},

Differentiating with respect to time (t),

\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})

=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)

=\frac{1}{2\sqrt{x^2 + y^2}}(2x\frac{dx}{dt}+2y\frac{dy}{dt})

=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})

Here,

\frac{dy}{dt}=-6\text{ ft per sec}

Also, \frac{dL}{dt} = 0           ( Ladder length = constant ),

\implies \frac{1}{\sqrt{x^2 +y^2}}(x(-6)+y\frac{dy}{dt})=0

-6x + y\frac{dy}{dt}=0

y\frac{dy}{dt}=6x

\implies \frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}

Which is the required notation.

8 0
3 years ago
Which expression simplifies to 8x^5?
tamaranim1 [39]

Answer:

32768x^5

Step-by-step explanation:

8 0
3 years ago
Which expression is equivalent to sin^2x-sin x-2/sin x-2
Arturiano [62]
Post the problem from the paper
3 0
3 years ago
What is the value of the function at x=−2? (98 points)
Archy [21]
The answer is c, y=2. if you look at the graph you can see that where x=-2 the line intersects the y axis at +2.
8 0
3 years ago
Find the slope of the line that passes through<br> (10, 1) and (5,2)
Brilliant_brown [7]

Answer:

-5

Step-by-step explanation:

2 - 1 = 1

5 - 10 = -5

-5 divided by 1 = -5

4 0
3 years ago
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