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3 years ago

Which parabola has the graph shown? I think the answer is C. however, I'm not 100% sure.

Mathematics

1 answer:

NemiM [27]3 years ago

7 0

$x=m(y-k)^2+h\\\\(h,\ k)-the\ vertex$

We have the vertex (-4, -1), therefore we have:

$x=(y-(-1))^2-4\ \ \ |+4\\\\(x+4)=(y+1)^2$

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Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.

scZoUnD [109]

Answer:

$y=\frac{C}{x}$ .

Step-by-step explanation:

Given homogeneous equation

$x^2ydy+xy^2dx=0$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}$

Substitute y=ux , $u=\frac{y}{x}$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}$

Now,

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}$

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u$

$\frac{\mathrm{d}u}{\mathrm{d}x}=-2u$

$\frac{du}{u}=-\frac{dx}{x}$

Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

$lnu+ln{x}^2=lnC$

$lnux^2=lnC$

Cancel ln on both side

$ux^2=C$

Substitute $u=\frac{y}{x}$

Then we get

xy=C

$y=\frac{C}{x}$ .

Answer: $y=\frac{C}{x}$ .

8 0

3 years ago

Plz help me solve this page ASAP 20POINTS!!!!!

eduard

1) Midpoint : (7/2,1/2), Quadrant 1

2. Midpoint: (5,1/2), Quadrant 2

Hope this helps. Please mark brainliest if you can

8 0

3 years ago

If the original quantity is 14 and the new quantity is 22, which of these is the best estimate for the percent of change?

julsineya [31]

D 22-14=8 14-7=7 7 of 14=50% so i think that’s the best estimate

8 0

2 years ago

A triangle is isosceles is the altitude from the vertex angle to the base also passes through the midpoint of the base. What are

leonid [27]

Answer:

The answer to your question is 7 and -1/7

Step-by-step explanation:

Data

First line Second line

B (4, 4) A (0, 1)

M (3.5, 0.5) C (7, 0)

Formula

Slope = m = (y2 - y1) / (x2 - x1)

Process

1.- Calculate the slope of the first-line

x1 = 4 y1 = 4

x2 = 3.5 y2 = 0.5

-Substitution

m = (0.5 - 4) / (3.5 - 4)

-Simplification

m = -3.5 / -0.5

-Result

m = 7

2.- Calculate the slope of the second line

x1 = 0 y1 = 1

x2 = 7 y2 = 0

-Substitution

m = (0 - 1) / (7 - 0)

-Simplification

m = -1/7

-Result

m = -1/7

5 0

3 years ago

Explain how knowing 50×4 = 200 helps you find 500 × 400

Leto [7]

Well, 50 x 4 = 200, so just keep adding 0's!

50 x 4= 200

50 x 40 = 2,000

50 x 400 = 20,000

500 x 400 = 200,000

<em>Hope helps!-Aparri</em>

3 0

3 years ago

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