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3 years ago

Please help asap................

Mathematics

1 answer:

Studentka2010 [4]3 years ago

6 0

The correct answer is A the greater value sign is closed and the other is open on the graph the answer is A

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What is the value of 6/x+2x,when x=3

fenix001 [56]

Answer:

Step-by-step explanation:

6/3 + 2 x 3

6/3 + 6

2 + 6=8

6 0

3 years ago

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A 39-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate

LenaWriter [7]

Answer:

The area of the triangle formed is increasing at a rate of 29.75 square feet per second.

Step-by-step explanation:

A 39-foot ladder is leaning against a vertical wall. We are given that the bottom of the ladder is being pulled away at a rate of two feet per second, and we want to find the rate at which the area of the triangle being formed is is changing when the bottom of the ladder is 15 feet from the wall.

Please refer to the diagram below. x is the distance from the bottom of the ladder to the wall and y is the height of the ladder on the wall.

According to the Pythagorean Theorem:

$\displaystyle x^2+y^2=1521$

Let's take the derivative of both sides with respect to time t. Hence:

$\displaystyle \frac{d}{dt}\left[x^2+y^2\right] = \frac{d}{dt}\left[ 1521\right]$

Implicitly differentiate:

$\displaystyle 2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 0$

Simplify:

$\displaystyle x\frac{dx}{dt} + y \frac{dy}{dt} = 0$

The area of the triangle formed will be given by:

$\displaystyle A = \frac{1}{2} xy$

Again, let's take the derivative of both sides with respect to time t:

$\displaystyle \frac{dA}{dt} = \frac{d}{dt}\left[\frac{1}{2}xy\right]$

From the Product Rule:

$\displaystyle \frac{dA}{dt} = \frac{1}{2}\left(y\frac{dx}{dt} + x\frac{dy}{dt}\right)$

At that instant, the ladder is 15 feet from the base of the wall. So, x = 15. Using this information, find y.

$\displaystyle y = \sqrt{1521-(15)^2}=36$

The bottom of the ladder is being pulled away from the wall at a rate of two feet per second. So, dx/dt = 2. Using this information and the first equation, find dy/dt:

$\displaystyle \frac{dy}{dt} =-\frac{x\dfrac{dx}{dt}}{y}$

Evaluate for dy/dt:

$\displaystyle \frac{dy}{dt} = -\frac{(15)(2)}{(36)}=-\frac{5}{6}$

Finally, using dA/dt, substitute in appropriate values:

$\displaystyle \frac{dA}{dt} = \frac{1}{2}\left((36)(2)+(15)\left(-\frac{5}{6}\right)\right)$

Evaluate. Hence:

$\displaystyle \frac{dA}{dt} = \frac{119\text{ ft}^2}{4\text{ s}} = 29.75\text{ ft$^2$/s}$

The area of the triangle formed is increasing at a rate of 29.75 square feet per second.

8 0

3 years ago

Without actual calculating the cubes, evaluate using identities: <img src="https://tex.z-dn.net/?f=-11%5E3%2B8%5E3%2B3%5E3"

djyliett [7]

Answer:

-792

Step-by-step explanation:

5 0

2 years ago

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brad built 1/4 of a model airplane on monday and 2/3 of it on tuesday. he finished building the airplane on wednesday. what frac

Inessa05 [86]

Teh answer is 1/12. 1/4+ 2/3 is 11/12. First, you need to find the common denominator of 4 and 3, and that is 12.Then, you multiply 1*3 because 4*3 is 12.You then have the fraction of 3/12. Then, you multiply 2*4 because again, what you do to the top, you also do to the bottom, so you would also have the fraction of 8/12.The rest is easy. 3/12 + 8/12 is 11/12.And the missing piece of 11/12 is 1/12, because that made it whole.
Hope that helps!

6 0

3 years ago

Solve the equation 8x = - 16.

FrozenT [24]

Answer:

x=-2

No, to solve an equation you must use inverse operation which is division

Step-by-step explanation:

16/8=2

-16/8=2

6 0

3 years ago

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