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Sloan [31]
2 years ago
5

Find the sum..............

Mathematics
1 answer:
dsp732 years ago
3 0

Answer:

so i would say the first one

Step-by-step explanation:

so how i got it is i done it on paper and figured it out it took me a bit and it hurt my fingers trust me most of my answeres are correct

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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}}

7 0
2 years ago
Which statement best explains why the dilation of a triangle produces a similar triangle
Allushta [10]

Dilation always preserves angle measures, the given statement best explains why the dilation of a triangle produces a similar triangle

<u>Step-by-step explanation:</u>

The dilation (similarity transformations) varies the size of the figure. This requires a midpoint and a scale factor k. The k value finds whether it is an increase or decrease.

  • If | k |> 1, the dilation is an extension.
  • If | k | <1 it is reduction.

The absolute value of k determines the size of the new image relative to the size of the original image. If the k is positive, the new and original image is on the same side of the center.

If k is negative, they are on both sides of the center. Its own image is always at the center of development. This support angle size, point equality, and collinearity. Does not maintain distance. In simple, dilation always give similar figures.

6 0
2 years ago
Please answersee image bellow
vova2212 [387]

Answer:

<h2>62.832 mi.²</h2><h2></h2>

Step-by-step explanation:

surface area = 2πrh + 2πr²

where r = 2 miles radius

          h = 3 miles

<u>plugin values into the formula</u>

surface area = 2πrh + 2πr²

                     = 2π (2) 3  +  2π (2)²

                     = 37.699  +  25.133

                     = 62.832 mi.²

4 0
3 years ago
Please help me correct answer if you said it correct I will give you brainlist please!​
oee [108]
The answer would be 5 like they said
5 0
3 years ago
Constance earns $10.00 per hour. Her benefits package is equal to 18 percent of her hourly wages. Constance works a 35-hour work
Sergio [31]
The answer is 350 dollars per week
4 0
3 years ago
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