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2 years ago

Write the equation in slope intercept form. Then, match the equation with the correct graph.

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

5 0

Answer:

Graph A: y = (1/2)x - 2

Step-by-step explanation:

2x−4y=8 in slope-intercept form is -4y = -2x + 8, or y = 1/2x - 2

The slope of this line is 1/4 and the y-intercept is -2. This is represented by Graph A.

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Find an equation of the tangent line to the curve 2(x2+y2)2=25(x2−y2) (a lemniscate) at the point (−3,1). An equation of the tan

valina [46]

$2(x^2+y^2)^2=25(x^2-y^2)$

Let $y=y(x)$ , so that differentiating both sides wrt $x$ gives

$4(x^2+y^2)\left(2x+2y\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(2x-2y\dfrac{\mathrm dy}{\mathrm dx}\right)$

If $x=-3$ and $y=1$ , the above reduces to

$40\left(-6+2\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(-6-2\dfrac{\mathrm dy}{\mathrm dx}\right)\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac9{13}$

This is the slope of the tangent line, which has equation

$y-1=\dfrac9{13}(x+3)\implies\boxed{y=\dfrac{9x+40}{13}}$

7 0

2 years ago

The correct Answer 1048576

Slav-nsk [51]

Answer:

1048576 is correct!

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A freight train rumbles by as bob watches. Each freight container on the train is shaped like a rectangular prism 17 meters long

Genrish500 [490]

Answer:

The answer is 153

Step-by-step explanation:

You multiply 17 by 3 by 3.

7 0

3 years ago

Write an equation of the line passing through the point A(3,−4)

Valentin [98]

Answer:

Is there a picture

7 0

2 years ago

What is 2 and 928 ten-thousandths as a decimal?

nordsb [41]

I think this is the correct answer
2+ 928 = 2 + 0.0928 = 2.0928
 ---------
 10000
I hope i helped you :-)

4 0

3 years ago