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2 years ago

Use cramer's rule of x-3y+z=13,3x+2y-z=1,5x+7y+2z=9

Mathematics

2 answers:

Deffense [45]2 years ago

6 0

Another prank hahaha

Lunna [17]2 years ago

3 0

Answer:

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prank hahahaha

Step-by-step explanation:

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2828892

283933

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8282828

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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

PLZ HELP ASAP!!!

Nataliya [291]

A to b to c to d to e

7 0

3 years ago

10 out of every 65 students order pizza for lunch. There are 416 students at her school. How many students will eat pizza at her

Studentka2010 [4]

Answer:

Step-by-step explanation:

First, you divide 416 by 65. This gets you 6.4. But it's not 1 in 65 eating pizza, it's 10 out of 65, so then you multiply 6.4 by 10, getting 64.

3 0

3 years ago

What is the best way to gather information for each of the scenarios?

nika2105 [10]

(a) The team captain wants to know what his teammates eats before a match

Team captain know by taking a survey of teammates

(b) The team captain wants to know who can score most goals against the best player

This can be known by observation of games. so its observational study

This can be known by experiment

(d) The team captain wants to know what other sports teammates play

This can be known by observation of games. so its observational study

3 0

3 years ago

Read 2 more answers

Someone please help me please

sertanlavr [38]

Answer:

D. (x - 2)(x + 2)

Step-by-step explanation:

Look at the graph, when y = 0, x = - 2 and x = 2, vertex = -4

OK so x = -2 means x + 2 = 0

and x = 2, means x - 2 = 0

answer :D. (x - 2)(x + 2)

7 0

3 years ago

Use cramer's rule of x-3y+z=13,3x+2y-z=1,5x+7y+2z=9​

Use cramer's rule of x-3y+z=13,3x+2y-z=1,5x+7y+2z=9