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Dahasolnce [82]
3 years ago
9

How do I solve for x and y?

Mathematics
1 answer:
Lesechka [4]3 years ago
7 0
Cancel out the terms from one side first then do it for the other one. 4 example make x and individual by multiply the other side by 9 the evaluate. do the same for y 
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Find the value of kk for which the constant function x(t)=kx(t)=k is a solution of the differential equation 5t3dxdt+2x−2=05t3dx
uranmaximum [27]
Given the differential equation

5t^3 \frac{dx}{dt} +2x-2=0

The solution is as follows:

5t^3 \frac{dx}{dt} +2x-2=0 \\  \\ \Rightarrow5t^3 \frac{dx}{dt} =2-2x \\  \\ \Rightarrow \frac{5}{2-2x} dx= \frac{1}{t^3} dt \\  \\ \Rightarrow \int {\frac{5}{2-2x} } \, dx = \int {\frac{1}{t^3}} \, dt \\  \\ \Rightarrow- \frac{5}{2} \ln(2-2x)=- \frac{1}{2t^2} +A \\  \\ \Rightarrow\ln(2-2x)= \frac{1}{5t^2} +B\\  \\ \Rightarrow2-2x=Ce^{\frac{1}{5t^2}} \\  \\ \Rightarrow 2x=Ce^{\frac{1}{5t^2}}+2 \\  \\ \Rightarrow x=De^{\frac{1}{5t^2}}+1
3 0
3 years ago
Graph the system of equations. {4x+4y=16 x+6y=−6 Use the Line tool to graph the lines.
tatiyna

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

4x+4y=16 -----> equation A

x+6y=-6 -----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

In this problem

The intersection point is (6,-2)

therefore

The solution is the point (6,-2)

using a graphing tool

see the attached figure

5 0
3 years ago
How do I solve this?
Ivenika [448]

\overline{XS}\cong\overline{YT}\Rightarrow 3m+7=4.2m+5\ \ \ |-7\\\\3m=4.2m-2\ \ \ \ |-4.2m\\\\-1.2m=-2\ \ \ \ |:(-1.2)\\\\m=\dfrac{2}{1.2}\\\\m=\dfrac{20}{12}\\\\m=\dfrac{5}{3}\to m=1\dfrac{2}{3}


\overline{YS}\cong\overline{XT}\Rightarrow3\dfrac{1}{2}r+2=2r+5\ \ \ \ |-2\\\\3\dfrac{1}{2}r=2r+3\ \ \ \ |-2r\\\\1\dfrac{1}{2}r=3\ \ \ |\cdot2\\\\3r=6\ \ \ \ |:3\\\\r=2

7 0
3 years ago
PLEASE HELP!!!<br> I don't know how to do this...<br> (screenshots provided)
Mrac [35]

Answer:

i really dont know how to do this and i dont think anybody here knows how to

Step-by-step explanation:

4 0
3 years ago
A QUINTA PARTE DA MESADA DE DANIEL CORRESPONDE A R$ 60,00. QUANTO ELE GANHA<br> DE MESADA?
WINSTONCH [101]

Answer:

300

Step-by-step explanation:

60 x 5 = 300

6 0
3 years ago
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