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saul85 [17]
3 years ago
5

X2 − 2x − 4 = 0 quadratic formula

Mathematics
1 answer:
Over [174]3 years ago
5 0

Answer:

x=±1.73205i

Explaination

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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
assuming that each salesperson earned commission on all items he or she sold who earned the most commission​
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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Simplify.
inn [45]

Answer:

1. \frac{3y - 2}{5}    =  \frac{3y}{5} -  \frac{2}{5}    \\  \\ 2.    \frac{6x - 3}{3}  =  \frac{6x}{3}  -  \frac{3}{3}  \\ =  2x - 1 \\  \\ 3. \frac{4}{2}  = 2

8 0
2 years ago
The polygons are similar. The area of one polygon is given. Find the area of the other polygon.
kap26 [50]

Answer:

90 cm²

Step-by-step explanation:

Given that both triangles are similar, it follows that the ratio of their area equals the square of their corresponding sides.

Let the area of the other triangle be x. Therefore:

\frac{10}{x} = \frac{4^2}{12^2}

\frac{10}{x} = \frac{16}{144}

Cross multiply

10*144 = 16*x

1440 = 16x

Divide both sides by 16

90 = x

Area of the other polygon = 90 cm²

4 0
3 years ago
If x represents the number since 1988 what does x=32 represents
Alenkasestr [34]
<h3>Answer: The year 2020</h3>

Explanation:

x is the number of years since 1988

x = 0 represents the year 1988

x = 1 is the year 1988+1 = 1989

x = 2 is the year 1988+2 = 1990

etc

x = 32 is the year 1988+32 = 2020

6 0
3 years ago
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