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4 years ago

12

Z=m-x+ y , solve for x

1 answer:

Simora [160]4 years ago

8 0

Step-by-step explanation:

z=m-x+ y

z + x = y + m

x = y + m - z

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A website-hosting service charges a one-time setup fee of $20 plus d dollars for each month. A business owner paid $70 for the f

alina1380 [7]

Answer:

D= 10 Dollars each month

Step-by-step explanation:

You find this answer by subtracting the one time fee of 20 from the total payed of 70, leaving you with 50. You then divide that 50$ by 5 months.

5 0

3 years ago

Consider the circle of radius 5 centered at (0, 0). Find an equation of the line tangent to the circle at the point (3, 4) in sl

Wittaler [7]

Answer:

$\displaystyle y= -\frac{3}{4} x + \frac{25}{4}$ .

Step-by-step explanation:

The equation of a circle of radius $5$ centered at $(0,0)$ is:

$x^{2} + y^{2} = 5^{2}$ .

$x^{2} + y^{2} = 25$ .

Differentiate implicitly with respect to $x$ to find the slope of tangents to this circle.

$\displaystyle \frac{d}{dx}[x^{2} + y^{2}] = \frac{d}{dx}[25]$

$\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(y^{2}) = 0$ .

Apply the power rule and the chain rule. Treat $y$ as a function of $x$ , $f(x)$ .

$\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(f(x))^{2} = 0$ .

$\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}(2f(x)\cdot f^{\prime}(x)) = 0$ .

That is:

$\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}\left(2y \cdot \frac{dy}{dx}\right) = 0$ .

Solve this equation for $\displaystyle \frac{dy}{dx}$ :

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

The slope of the tangent to this circle at point $(3, 4)$ will thus equal

$\displaystyle \frac{dy}{dx} = -\frac{3}{4}$ .

Apply the slope-point of a line in a cartesian plane:

$y - y_0 = m(x - x_0)$ , where

$m$ is the gradient of this line, and
$(x_0, y_0)$ are the coordinates of a point on that line.

For the tangent line in this question:

$\displaystyle m = -\frac{3}{4}$ ,
$(x_0, y_0) = (3, 4)$ .

The equation of this tangent line will thus be:

$\displaystyle y - 4 = -\frac{3}{4} (x - 3)$ .

That simplifies to

$\displaystyle y= -\frac{3}{4} x + \frac{25}{4}$ .

3 0

3 years ago

WHAT NUMBER OCCURS FREQUENTLY<br><br><br><br><br>ILL GIVE BRAINLIEST<br>

xxMikexx [17]

Answer:

I think it's 2 because it has a larger number of dots than other numbers.

Step-by-step explanation:

Hope this helps!!!

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3 years ago

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lukranit [14]

Answer:

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Step-by-step explanation:

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3 years ago

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dezoksy [38]

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3 years ago

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