3 years ago

What is the awnser to this question

Mathematics

1 answer:

andre [41]3 years ago

7 0

What's the question?

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Test #

Agata [3.3K]

5 is the slope and 3 is the y-intercept

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3 years ago

Find the solution of the differential equation that satisfies the given initial condition. dy/dx=x/y , y(0)=-1

Charra [1.4K]

Separating variables, we have

$\dfrac{dy}{dx} = \dfrac xy \implies y\,dy = x\,dx$

Integrate both sides.

$\displaystyle \int y\,dy = \int x\,dx$

$\dfrac12 y^2 = \dfrac12 x^2 + C$

Given that $y(0)=-1$ , we find

$\dfrac12 (-1)^2 = \dfrac12 0^2 + C \implies C = \dfrac12$

Then the particular solution is

$\dfrac12 y^2 = \dfrac12 x^2 + \dfrac12$

$y^2 = x^2 + 1$

$y = \pm\sqrt{x^2 + 1}$

and because $y(0)=-1$ , we take the negative solution to accommodate this initial value.

$\boxed{y(x) = -\sqrt{x^2+1}}$

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2 years ago

Ava and Maria went shopping together. Eva spent $20 more than Maria. Together they spent $209.84. Write and solve an equation to

ad-work [718]

Answer:209.84 - 20.00 = 189.84 / 2 = 94.92

94.92 + 20.00 = 114.92 Eva spent and Martha spent $94.92

Step-by-step explanation:

5 0

3 years ago

How can you check to see if two fractions are equivalent please explain

Wewaii [24]

Answer:

cross multiply and they should equal the same

Step-by-step explanation:

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3 years ago

Max travel 324 miles in six hours write the unit rate

Amiraneli [1.4K]

Answer:

54mph

Step-by-step explanation:

Answer:

= 54 miles per hour

Showing WorkThis is a fraction equal to

324 miles ÷ 6 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 6

324 miles

÷ 6

6 hours

÷ 6

54 miles

1 hour

54 miles

hour

= 54 miles per hour

4 0

3 years ago

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