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2 years ago

Find the equation of the line that is perpendicular to 3x-4y=5

Mathematics

1 answer:

Kaylis [27]2 years ago

7 0

Answer:

4x + 3y = 0

Step-by-step explanation:

A line perpendicular to one written in standard form can be found by swapping the x- and y-coefficients and negating one of them. Usually, you want the leading (x) coefficient to be positive, so here we can negate that one. This process give ...

4x + 3y = 0

The constant on the right can be chosen to make the line go through a desired point. Here, no point is specified, so we have set it to zero.

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Differentiate the function. f(x) = sin(9 ln(x))

gayaneshka [121]

Answer: $f'(x)=\dfrac{9\cos(9\ln (x))}{x}$ .

Step-by-step explanation:

The given function is

$f(x)=\sin(9\ln (x))$

Using chain rule differentiate w.r.t. x.

$f'(x)=\cos(9\ln (x))\dfrac{d}{dx}(9\ln (x))$ $\left[\because \dfrac{d}{dx}\sin x=\cos x\right]$

$f'(x)=\cos(9\ln (x))\left[9\dfrac{d}{dx}(\ln (x))\right]$

$f'(x)=\cos(9\ln (x))\left[9\times \dfrac{1}{x}\right]$ $\left[\because \dfrac{d}{dx}\ln x=\dfrac{1}{x}\right]$

$f'(x)=\dfrac{9\cos(9\ln (x))}{x}$

Therefore, $f'(x)=\dfrac{9\cos(9\ln (x))}{x}$ .

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2 years ago

Which is a square matrix?

Otrada [13]

A square matrix has the same number of rows as columns. In computer graphics, square matrices are used for transformations. A rectangular matrix is one where the number of rows or columns may not be the same. ... Below is a 4 x 1 column matrix. A row matrix consists of a single row.

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2 years ago

Which point lies on the graph of the function shown below y=-x^2+5x-3

Andrei [34K]

Answer:

C: (2,3)

Step-by-step explanation:

to solve this algebraically just plug in the x and y values of the points and see if they are true, but here is the graph to juse show you

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2 years ago

The area of a rectangle is 28 square meters. The length is 7meters.

Leviafan [203]

Answer:

width is 4 meters

Step-by-step explanation:

A = l*w where l is length and w is width

28 = 7*w

Divide each side by 7

28/7 = 7w/7

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2 years ago

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Find two numbers, if Their sum is 3/5 and their difference is 7 1/5

atroni [7]

Set up a system of equations:

x + y = 0.6
x - y = 7.2

You can solve using elimination. Add the two equations together:

2x + 0y = 7.8
2x = 7.8
x = 3.9

Then plug the number back into either of the two original equations to solve for y:

3.9 + y = 0.6
y = -3.3

The two numbers are 3.9 and -3.3

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2 years ago

Read 2 more answers

Find the equation of the line that is perpendicular to 3x-4y=5​

Find the equation of the line that is perpendicular to 3x-4y=5