Solve 360-4x-66x 18=y

Question

Function

$Find the x -intercept/zero$

Find the y-intercept

Find the slope

x = \frac{45}{149}

Evaluate

360 - 4 x - 66 x \times 18 = y

To find the x -intercept,set y =0

360 - 4 x - 66 x \times 18 = 0

Simplify

More Steps

Evaluate

360 - 4 x - 66 x \times 18

Multiply the terms

360 - 4 x - 1188 x

Subtract the terms

More Steps

Evaluate

- 4 x - 1188 x

Collect like terms by calculating the sum or difference of their coefficients

(- 4 - 1188) x

Subtract the numbers

- 1192 x

360 - 1192 x

360 - 1192 x = 0

Move the constant to the right-hand side and change its sign

- 1192 x = 0 - 360

Removing 0 doesn't change the value,so remove it from the expression

- 1192 x = - 360

Change the signs on both sides of the equation

1192 x = 360

Divide both sides

\frac{1192 x}{1192} = \frac{360}{1192}

Divide the numbers

x = \frac{360}{1192}

Solution

x = \frac{45}{149}

Show Solution

Solve the equation

$Solve for x$

$Solve for y$

x = \frac{- y + 360}{1192}

Evaluate

360 - 4 x - 66 x \times 18 = y

Simplify

More Steps

Evaluate

360 - 4 x - 66 x \times 18

Multiply the terms

360 - 4 x - 1188 x

Subtract the terms

More Steps

Evaluate

- 4 x - 1188 x

Collect like terms by calculating the sum or difference of their coefficients

(- 4 - 1188) x

Subtract the numbers

- 1192 x

360 - 1192 x

360 - 1192 x = y

Move the constant to the right-hand side and change its sign

- 1192 x = y - 360

Change the signs on both sides of the equation

1192 x = - y + 360

Divide both sides

\frac{1192 x}{1192} = \frac{- y + 360}{1192}

Solution

x = \frac{- y + 360}{1192}

Show Solution

Testing for symmetry

Testing for symmetry about the origin

Testing for symmetry about the x-axis

Testing for symmetry about the y-axis

Not symmetry with respect to the origin

Evaluate

360 - 4 x - 66 x 18 = y

Simplify the expression

360 - 1192 x = y

To test if the graph of 360 - 1192 x = y is symmetry with respect to the origin,substitute -x for x and -y for y

360 - 1192 (- x) = - y

Evaluate

More Steps

Evaluate

360 - 1192 (- x)

Multiply the numbers

360 - (- 1192 x)

Rewrite the expression

360 + 1192 x

360 + 1192 x = - y

Solution

Not symmetry with respect to the origin

Show Solution

Rewrite the equation

Rewrite in polar form

Rewrite in standard form

Rewrite in slope-intercept form

r = \frac{360}{1192 cos ( θ ) + sin ( θ )}

Evaluate

360 - 4 x - 66 x \times 18 = y

Evaluate

More Steps

Evaluate

360 - 4 x - 66 x \times 18

Multiply the terms

360 - 4 x - 1188 x

Subtract the terms

More Steps

Evaluate

- 4 x - 1188 x

Collect like terms by calculating the sum or difference of their coefficients

(- 4 - 1188) x

Subtract the numbers

- 1192 x

360 - 1192 x

360 - 1192 x = y

Move the expression to the left side

360 - 1192 x - y = 0

To convert the equation to polar coordinates,substitute r cos (θ) for x and r sin (θ) for y

360 - 1192 cos (θ) \times r - sin (θ) \times r = 0

Factor the expression

(- 1192 cos (θ) - sin (θ)) r + 360 = 0

Subtract the terms

(- 1192 cos (θ) - sin (θ)) r + 360 - 360 = 0 - 360

Evaluate

(- 1192 cos (θ) - sin (θ)) r = - 360

Solution

r = \frac{360}{1192 cos ( θ ) + sin ( θ )}

Show Solution

Find the first derivative

$Find the derivative with respect to x$

$Find the derivative with respect to y$

\frac{d y}{d x} = - 1192

Calculate

360 - 4 x - 66 x 18 = y

Simplify the expression

360 - 1192 x = y

Take the derivative of both sides

\frac{d}{d x} (360 - 1192 x) = \frac{d}{d x} (y)

Calculate the derivative

More Steps

Evaluate

\frac{d}{d x} (360 - 1192 x)

Use differentiation rules

\frac{d}{d x} (360) + \frac{d}{d x} (- 1192 x)

Use \frac{d}{d x} (c) = 0 to find derivative

0 + \frac{d}{d x} (- 1192 x)

Evaluate the derivative

More Steps

Evaluate

\frac{d}{d x} (- 1192 x)

Use differentiation rule \frac{d}{d x} (c f (x)) = c \times \frac{d}{d x} (f (x))

- 1192 \times \frac{d}{d x} (x)

Use \frac{d}{d x} x^{n} = n x^{n - 1} to find derivative

- 1192 \times 1

Any expression multiplied by 1 remains the same

- 1192

0 - 1192

Evaluate

- 1192

- 1192 = \frac{d}{d x} (y)

Calculate the derivative

More Steps

Evaluate

\frac{d}{d x} (y)

Use differentiation rules

\frac{d}{d y} (y) \times \frac{d y}{d x}

Use \frac{d}{d x} x^{n} = n x^{n - 1} to find derivative

\frac{d y}{d x}

- 1192 = \frac{d y}{d x}

Solution

\frac{d y}{d x} = - 1192

Show Solution

Find the second derivative

$Find the second derivative with respect to x$

$Find the second derivative with respect to y$

\frac{d ^{2} y}{d x ^{2}} = 0

Calculate

360 - 4 x - 66 x 18 = y

Simplify the expression

360 - 1192 x = y

Take the derivative of both sides

\frac{d}{d x} (360 - 1192 x) = \frac{d}{d x} (y)

Calculate the derivative

More Steps

Evaluate

\frac{d}{d x} (360 - 1192 x)

Use differentiation rules

\frac{d}{d x} (360) + \frac{d}{d x} (- 1192 x)

Use \frac{d}{d x} (c) = 0 to find derivative

0 + \frac{d}{d x} (- 1192 x)

Evaluate the derivative

More Steps

Evaluate

\frac{d}{d x} (- 1192 x)

Use differentiation rule \frac{d}{d x} (c f (x)) = c \times \frac{d}{d x} (f (x))

- 1192 \times \frac{d}{d x} (x)

Use \frac{d}{d x} x^{n} = n x^{n - 1} to find derivative

- 1192 \times 1

Any expression multiplied by 1 remains the same

- 1192

0 - 1192

Evaluate

- 1192

- 1192 = \frac{d}{d x} (y)

Calculate the derivative

More Steps

Evaluate

\frac{d}{d x} (y)

Use differentiation rules

\frac{d}{d y} (y) \times \frac{d y}{d x}

Use \frac{d}{d x} x^{n} = n x^{n - 1} to find derivative

\frac{d y}{d x}

- 1192 = \frac{d y}{d x}

Swap the sides of the equation

\frac{d y}{d x} = - 1192

Take the derivative of both sides

\frac{d}{d x} (\frac{d y}{d x}) = \frac{d}{d x} (- 1192)

Calculate the derivative

\frac{d ^{2} y}{d x ^{2}} = \frac{d}{d x} (- 1192)

Solution

\frac{d ^{2} y}{d x ^{2}} = 0

Show Solution

360 4x 66x 18=y

Function

$Find the x -intercept/zero$

Find the y-intercept

Find the slope

Solve the equation

$Solve for x$

$Solve for y$

Testing for symmetry

Testing for symmetry about the origin

Testing for symmetry about the x-axis

Testing for symmetry about the y-axis

Rewrite the equation

Rewrite in polar form

Rewrite in standard form

Rewrite in slope-intercept form

Find the first derivative

$Find the derivative with respect to x$

$Find the derivative with respect to y$

Find the second derivative

$Find the second derivative with respect to x$

$Find the second derivative with respect to y$

Graph

360 4x 66x 18=y

Function

Find the x-intercept/zero

Find the y-intercept

Find the slope

Solve the equation

Solve for x

Solve for y

Testing for symmetry

Testing for symmetry about the origin

Testing for symmetry about the x-axis

Testing for symmetry about the y-axis

Rewrite the equation

Rewrite in polar form

Rewrite in standard form

Rewrite in slope-intercept form

Find the first derivative

Find the derivative with respect to x

Find the derivative with respect to y

Find the second derivative

Find the second derivative with respect to x

Find the second derivative with respect to y

Graph

$Find the x -intercept/zero$

$Solve for x$

$Solve for y$

$Find the derivative with respect to x$

$Find the derivative with respect to y$

$Find the second derivative with respect to x$

$Find the second derivative with respect to y$